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15 pages, 1062 KiB  
Article
Prevalence of Biogenic Amines and Their Relation to the Bacterial Content in Ripened Cheeses on the Retail Market in Poland
by Marzena Pawul-Gruba, Edyta Denis, Tomasz Kiljanek and Jacek Osek
Foods 2025, 14(14), 2478; https://doi.org/10.3390/foods14142478 - 15 Jul 2025
Viewed by 424
Abstract
Biogenic amines (BA) are simple organic bases of low molecular weight, formed during decarboxylation of amino acids. Ripened cheeses provide suitable conditions for the development of bacteria and production of BAs. The aim of the present study was to investigate the presence of [...] Read more.
Biogenic amines (BA) are simple organic bases of low molecular weight, formed during decarboxylation of amino acids. Ripened cheeses provide suitable conditions for the development of bacteria and production of BAs. The aim of the present study was to investigate the presence of eight BAs in ripened cheese samples (n = 125) using a high-performance liquid chromatography with diode array detector (HPLC-DAD). Furthermore, microbiological analyses towards identification of bacteria using matrix-assisted laser desorption ionisation—time of flight mass spectrometry (MALDI-TOF MS) were performed. Cadaverine and putrescine were detected in 28.0% and 20.8% of cheese samples at concentrations ranging from 6.12 to 2871 mg/kg and 5.74 to 441 mg/kg, respectively. High amounts of putrescine and cadaverine in cheeses were associated with the presence of Hafnia alvei. Tyramine was identified in 28.0% of samples in the concentration range of 5.62–646 mg/kg. High concentrations of this amine was found in cheeses containing Enterococcus faecium and Enterococcus faecalis. Histamine content, the only BA restricted in food according to Regulation 2073/2005, was observed above 100 mg/kg in 11.2% of the cheeses. Ripened cheeses available on the local retail market may contain significant levels of biogenic amines and may pose a potential health hazard to consumers. Full article
(This article belongs to the Section Food Toxicology)
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13 pages, 313 KiB  
Article
Changing Perceptions of Urban Retail Regulation: Sundays in the German City of Cologne
by Jens K. Perret and Martin Fontanari
Urban Sci. 2025, 9(7), 271; https://doi.org/10.3390/urbansci9070271 - 14 Jul 2025
Viewed by 455
Abstract
Compared to multiple other European countries, Germany still lists among those countries restricting the operation of most retail activities on Sundays as well as public holidays. For a long time, the German populace backed this decision. The COVID-19 crisis had distinct effects on [...] Read more.
Compared to multiple other European countries, Germany still lists among those countries restricting the operation of most retail activities on Sundays as well as public holidays. For a long time, the German populace backed this decision. The COVID-19 crisis had distinct effects on retail behavior, expectations, and perceptions among broad strata of German society. To quantify these changes, this study implements the results of two surveys from 2018 and 2025. Both samples were drawn from among the population of the fourth-largest German city of Cologne and visitors to the city. The results of t-tests and multiple multivariate regression analyses indicate that visitors still attend retail Sundays for hedonistic motives, i.e., related events, but in 2025 utilitarian motives have become more essential. While the amount of money spent during retail Sundays increased, this development is primarily driven by visitors not native to Cologne. However, city events continue to draw visitors and should be continued by city management. The financial potential for retailers by abolishing the German Shop Closing Act consequently remains limited, and its abolishment would only increase the ease of shoppers. Thus, legal changes to the act will have only limited potential for urban economic development. Full article
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18 pages, 840 KiB  
Entry
Airport Retail Market Power: A Performance Assessment Framework on Business Success and Regional Retail Market Characteristics
by Aristi Karagkouni
Encyclopedia 2025, 5(2), 66; https://doi.org/10.3390/encyclopedia5020066 - 19 May 2025
Viewed by 1123
Definition
This entry proposes an integrative approach to assessing market power in airport retail environments that highlights the impact of strategic and operational factors on the performance of the enterprise in a regulated and restrictive commercial environment. Using the Analytic Hierarchy Process (AHP), this [...] Read more.
This entry proposes an integrative approach to assessing market power in airport retail environments that highlights the impact of strategic and operational factors on the performance of the enterprise in a regulated and restrictive commercial environment. Using the Analytic Hierarchy Process (AHP), this entry discerns and quantifies important factors determining market power using weights that include price flexibility, consumer conduct, brand value, technological uptake rate, and barriers to entry. To support this qualitative analysis, this entry combines a quantitative countervailing power model (CPA/E) and a market penetration model (MPE/A) to determine the levels of retailer penetration in airport authorities and passenger markets. The integration of these models makes it possible to perform a multivariate analysis of market domination, geographical interdependence, and bargaining power. The findings highlight the configurational complexity in strategic positioning in terms of organizational size, dependence levels, and digital preparedness and provide actionable information for airport managers, concession planners, and policymakers determined to maximize lease deals and improve commercial performance in the face of changing risk profiles. Full article
(This article belongs to the Collection Encyclopedia of Entrepreneurship in the Digital Era)
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19 pages, 1526 KiB  
Article
Strategic Inventory Management with Private Brands: Navigating the Challenges of Supply Uncertainty
by Junjie Guo, Huanhuan Wang, Guang Song, Hanxing Cui and Qilan Zhao
Systems 2025, 13(3), 203; https://doi.org/10.3390/systems13030203 - 15 Mar 2025
Viewed by 1314
Abstract
In the context of globalized and complex supply chains, supply uncertainty occurs frequently. To reduce dependence on suppliers, retailers often consider holding strategic inventory and introducing private brands. To explore the relationship between private brands and strategic inventory strategies, and to determine the [...] Read more.
In the context of globalized and complex supply chains, supply uncertainty occurs frequently. To reduce dependence on suppliers, retailers often consider holding strategic inventory and introducing private brands. To explore the relationship between private brands and strategic inventory strategies, and to determine the optimal strategic decisions, this paper constructs a two-stage supply chain model. Using game theory methods, we calculate the equilibrium outcomes of the supply chain under two scenarios: one with only national brands and the other with the introduction of private brands. The main findings are as follows. First, we identify the optimal decisions for both suppliers and retailers in each scenario. The influencing factors include perceived quality, inventory costs, and supply stability. Second, we find that there are constraints for retailers to activate strategic inventory, but these constraints are less restrictive when private brands are introduced. Finally, introducing private brands benefits retailers in implementing strategic inventory, although the extent of this impact depends on the conditions under which the strategic stockpile is implemented. These findings fill the gap in the existing literature on the impact of private brand introductions on strategic inventory under supply uncertainty and highlight valuable implications for business decision-makers. Full article
(This article belongs to the Special Issue Systems Methodology in Sustainable Supply Chain Resilience)
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18 pages, 3247 KiB  
Article
From the City to the Suburb: City Dynamics in the Time of a Polycrisis
by Behnam Asadieh and Paulina Maria Neisch
Sustainability 2024, 16(24), 10809; https://doi.org/10.3390/su162410809 - 10 Dec 2024
Cited by 1 | Viewed by 1183
Abstract
External events and crises significantly influence urban development. This study primarily aimed to investigate the impact of the COVID-19 pandemic on city development dynamics through structural change and spatiotemporal analysis, focusing on the Hong Kong SAR as a case study. The analysis revealed [...] Read more.
External events and crises significantly influence urban development. This study primarily aimed to investigate the impact of the COVID-19 pandemic on city development dynamics through structural change and spatiotemporal analysis, focusing on the Hong Kong SAR as a case study. The analysis revealed disruptions across the office, residential, and retail property sectors during late 2019 and early 2020. The findings emphasize the “Polycrisis” concept, where overlapping social, economic, and health crises amplify impacts. The office sector demonstrated greater vulnerability, particularly in higher grade offices in and near central business districts. In contrast, the residential sector showed greater resilience overall, with smaller, centrally located units being more vulnerable, while larger, peripheral units exhibited a stronger resilience. The retail market responded distinctively, with peripheral areas experiencing a greater impact than the city core, reflecting pandemic-related restrictions. In general, the findings show that the recovery from the crises is slow and might affect future land use and urban planning norms. Additionally, population trends highlighted a shift toward suburban living, with recent rising densities in peripheral districts and population declines in central areas. This study’s insights contribute to policymaking, urban planning, and discussions on understanding the evolving city dynamics. Full article
(This article belongs to the Section Sustainable Urban and Rural Development)
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28 pages, 6733 KiB  
Article
Social Infrastructure During the COVID-19 Pandemic: Evaluating the Impact of Outdoor Recreation on Pandemic Dynamics in Europe
by Mahran Gamal N. Mahran, Haoying Han, Mahmoud Mabrouk and Salma Antar A. AbouKorin
Sustainability 2024, 16(23), 10343; https://doi.org/10.3390/su162310343 - 26 Nov 2024
Viewed by 1489
Abstract
The COVID-19 pandemic has drastically affected mental and physical well-being, leading to significant changes in daily habits and preferences. Given that pandemics require the tear down of most social ties and interactions to limit their inevitable spread, this study delved into the extent [...] Read more.
The COVID-19 pandemic has drastically affected mental and physical well-being, leading to significant changes in daily habits and preferences. Given that pandemics require the tear down of most social ties and interactions to limit their inevitable spread, this study delved into the extent to which social infrastructures have been affected, focusing on behavioral shifts in essential services such as retail, recreation, groceries, pharmacies, public transport, parks and open spaces, workplaces, and residential areas. Notably, while most social infrastructures saw a decline in public usage, parks and open spaces experienced increased visitation despite public health measures aimed at minimizing social interactions. This striking increase in park and open space visitations has captured the interest of this study to observe the impact it had on the trajectory of the COVID-19 pandemic, as well as the underlying causes behind this trend. Since Europe was heavily affected by the pandemic, this study focused specifically on European countries over a two-year period (March 2020 to March 2022), covering the severe period of the pandemic. While parks and open spaces initially showed no direct influence on the pandemic trajectory, when closely observing visitation trends, both increases and declines, opposing insights were revealed. This study found that attempts to reduce park and open space visitation were significantly unsuccessful, leading to substantial increases in both the magnitude and duration of visits once restrictions were eased. This surge in park and open space attendance corresponded to notable spikes in new infections during periods of peak visitation. Therefore, urban planning and public health authorities must prioritize safely accommodating the increased park and open space demand while effectively minimizing virus transmission. This involves considering park sizes and proximity, along with implementing a balanced set of crucial public health strategies to support community well-being and resilience. Full article
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13 pages, 1205 KiB  
Article
Predicting Chemical Body Composition Using Body Part Composition in Boer × Saanen Goats
by Izabelle A. M. A. Teixeira, Adrian F. M. Ferreira, José M. Pereira Filho, Luis O. Tedeschi and Kleber T. Resende
Ruminants 2024, 4(4), 543-555; https://doi.org/10.3390/ruminants4040038 - 19 Nov 2024
Viewed by 884
Abstract
Two experiments were conducted to determine which part of the empty body of Boer × Saanen intact male kids can be used to predict the chemical composition of the whole body. In the first experiment, kids were fed ad libitum and slaughtered at [...] Read more.
Two experiments were conducted to determine which part of the empty body of Boer × Saanen intact male kids can be used to predict the chemical composition of the whole body. In the first experiment, kids were fed ad libitum and slaughtered at 5, 10, and 15 kg body weight (BW). Eighteen animals were group-fed at three intake levels (ad libitum or restricted to 30% and 60% of the ad libitum level). When the ad libitum animal in the group reached 15 kg BW, all animals in the group were slaughtered. In the second experiment, kids were fed ad libitum and slaughtered at 15, 20, and 25 kg BW. Twenty-one animals were group-fed at three intake levels and slaughtered when the ad libitum animal within the group reached 25 kg BW. Analyzed body parts included head + feet, hide, organs, neck, shoulder, ribs, loin, leg, 9–11th ribs, and half carcass. Principal component and cluster analyses showed that the neck, 9–11th ribs, and loin had the highest frequency of grouping with the empty body. These body parts were used to develop prediction models for estimating body composition. The neck, loin, and 9–11th ribs accurately and precisely predicted the dry matter, ash, fat, protein, and energy body composition of goats, with most models also incorporating BW as a predictor variable. The equations showed root mean squared error (RMSE) lower than 13.5% and a concordance correlation coefficient (CCC) greater than 0.84. Fat and protein concentrations in the loin and neck were also reliable predictors of empty body energy composition (RMSE = 2.9% of mean and concordance correlation coefficient = 0.93). Removing the loin and 9–11th ribs could reduce the carcass retail price. Using the neck to estimate body composition in growing Boer × Saanen goats provides a valuable alternative for nutrition studies, given its low commercial value. Full article
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21 pages, 2862 KiB  
Article
Survival Analysis of Small Business during COVID-19 Pandemic, a Brazilian Case Study
by Jorge Luis Tonetto, Josep Miquel Pique, Adelar Fochezatto and Carina Rapetti
Economies 2024, 12(7), 184; https://doi.org/10.3390/economies12070184 - 11 Jul 2024
Cited by 4 | Viewed by 4134
Abstract
The impact of COVID-19 on the economy was devastating. Small businesses typically have few resources to fight against such adversity. Many businesses remained closed for some time during the pandemic period, resulting in significant consequences for people in terms of jobs, income and [...] Read more.
The impact of COVID-19 on the economy was devastating. Small businesses typically have few resources to fight against such adversity. Many businesses remained closed for some time during the pandemic period, resulting in significant consequences for people in terms of jobs, income and life. The objective of this research is to identify the factors that contributed to increasing company failures during the pandemic. Furthermore, this study aims to verify whether the size of the companies, the sectors of economic activity in which they operate and their geographic location influence enterprise failure. This article analyzes the survival of 8931 small businesses from 2017 to 2023, in Rio Grande do Sul, Brazil. The study applied a survival analysis using the Kaplan–Meier procedure, complemented with the Cox procedure, to determine the effects of the size of companies, sector activity and location on the survival time. The results indicate that survival is much higher in small companies with large revenues that are located in the Campaign and West Frontier regions, as well as in the Northeast, North, Production, South, Taquari, and Rio Pardo Valleys regions, whereas the survival rates were extremely lower in the commercial sector and in financial intermediation activities. In the second analysis restricted to the commerce sector, the data highlighted the retail activities, accommodation and food activities sectors as the most affected in terms of overall survival. The results indicated that the survival of small business remained relatively strong during the COVID-19 pandemic, signaling the pertinent support from the government. The smallest business with revenues under USD 15,576 (BRL 81,000) per year were the most affected, with only 39% survival after 7 years. Some activities and some regions suffered more than others, emphasizing the need for special attention from authorities in future catastrophes. Full article
(This article belongs to the Special Issue Economics after the COVID-19)
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15 pages, 655 KiB  
Article
Investigating the Consumption Patterns of Japanese Seafood during the COVID-19 Pandemic
by Kentaka Aruga and Hiroki Wakamatsu
Commodities 2024, 3(2), 182-196; https://doi.org/10.3390/commodities3020012 - 22 May 2024
Cited by 2 | Viewed by 2464
Abstract
The COVID-19 pandemic, with increased home cooking and decreased restaurant dining, significantly altered seafood consumption patterns. By applying an ordered logit model to identify factors affecting seafood consumption during the pandemic, this study found that the shift in seafood consumption was driven by [...] Read more.
The COVID-19 pandemic, with increased home cooking and decreased restaurant dining, significantly altered seafood consumption patterns. By applying an ordered logit model to identify factors affecting seafood consumption during the pandemic, this study found that the shift in seafood consumption was driven by factors such as changes in meal preparation methods, more time spent at home, and shifts in financial situations. While take-out consumption boosted overall seafood intake, popular varieties saw a rise in home consumption, while high-end seafood suffered from decreased demand as consumers focused more on home dining. This study underscores the importance of supporting suppliers, restaurants, and retailers dealing with high-end seafood, as they face economic challenges due to reduced consumption. In summary, pandemic-induced restrictions on mobility led to a notable transition from restaurant-prepared seafood to home-cooked options, highlighting the need for targeted policies to aid affected sectors. Full article
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30 pages, 1772 KiB  
Article
Shortage Policies for a Jump Process with Positive and Negative Batch Arrivals in a Random Environment
by Yonit Barron
Mathematics 2024, 12(9), 1341; https://doi.org/10.3390/math12091341 - 28 Apr 2024
Cited by 1 | Viewed by 1022
Abstract
We study a continuous-review stock management of a retailer for a single item in a limited storage (buffer) in a random environment. The stock level fluctuates according to two independent compound Poisson processes with discrete amounts of items (batches) that enter and leave [...] Read more.
We study a continuous-review stock management of a retailer for a single item in a limited storage (buffer) in a random environment. The stock level fluctuates according to two independent compound Poisson processes with discrete amounts of items (batches) that enter and leave the storage facility. The storage facility is controlled by a three-parameter base-stock replenishment policy. All items exceeding the storage capacity are transferred to an unlimited foreign facility. In addition, a restricted backlogging possibility is permitted; additional demands for items are lost sales. We further assume a random shelf life, the possibility of total inventory collapse, and a random lead time. Applying Markov theory, we derive the optimal control parameters minimizing the long-run expected total cost. A sensitivity analysis is conducted focusing on the comparison between the pure lost-sales policy and a partial backordering policy. Accordingly, we identify cases where one policy is cost effective compared to the other, particularly with respect to the batch patterns (sign, rate, average, and variability), and the associated costs. Full article
(This article belongs to the Special Issue Theoretical and Applied Mathematics in Supply Chain Management)
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23 pages, 761 KiB  
Article
Food Systems and Access to Healthy Food in an Amazonian Context
by Renato S. Maluf, Luciene Burlandy, Rosângela P. Cintrão, Theresa Tribaldos and Emilia Jomalinis
Sustainability 2024, 16(7), 2652; https://doi.org/10.3390/su16072652 - 23 Mar 2024
Cited by 2 | Viewed by 2509
Abstract
The article aims to identify how systemic, multi-scale dynamics influence access to adequate and healthy food and eating and how food is produced and circulated in the Amazonian context of the Metropolitan Region of Santarém (PA). We conducted a literature review, qualitative interviews [...] Read more.
The article aims to identify how systemic, multi-scale dynamics influence access to adequate and healthy food and eating and how food is produced and circulated in the Amazonian context of the Metropolitan Region of Santarém (PA). We conducted a literature review, qualitative interviews with key actors, discussion groups and visits to food retailers to address the following research questions: how do socio-economic and political dynamics, especially those related to the soy-meat agroindustrial complex, create or reproduce social inequalities, injustices and inequities, and how do they affect the access to adequate and healthy food? Our findings suggest that the expansion of large-scale soybean growing and livestock, forming the industrial soy-meat complex, contributes to the impoverishment of certain social segments of the local population, accompanied by the erosion of the base for food production. Smallholder farmers and Indigenous and traditional people are among the main affected groups, while violence in rural areas contributes to restricting access to adequate and healthy food. The novelties of our study lie in approaching food systems, taking access to food as the entry point and linking adverse effects of the soy-meat complex to inequalities in access to healthy food. The study also discusses value conflicts between “traditional” and “modern food” (e.g., ultra-processed food), reflecting intergenerational disputes between ways of life and culture, which are also nurtured by the expansion of the soy-meat complex. These multi-scale dynamics have significant repercussions on how food is produced and circulated and highlight the relations between local food politics and conflicts, as well as their connections with processes beyond the local scale. Finally, the article calls for advancing integrated and multi-scale analysis of food production and access to address challenges of social injustices in food system transitions, fostering sustainability, human health and climate change mitigation and adaptation. Full article
(This article belongs to the Section Sustainable Food)
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24 pages, 8576 KiB  
Article
Multi-Criteria Analysis of Semi-Trucks with Conventional and Eco-Drives on the EU Market
by Janusz Chojnowski and Tadeusz Dziubak
Energies 2024, 17(5), 1018; https://doi.org/10.3390/en17051018 - 21 Feb 2024
Cited by 2 | Viewed by 2141
Abstract
The research provides a comparative theoretical investigation of the operational characteristics of an electric semi-truck and vehicles powered by conventional combustion engines using diesel fuel, hydrotreated vegetable oil (HVO), and methane (including biomethane) in the dual fuel configuration. The Volvo tractor units that [...] Read more.
The research provides a comparative theoretical investigation of the operational characteristics of an electric semi-truck and vehicles powered by conventional combustion engines using diesel fuel, hydrotreated vegetable oil (HVO), and methane (including biomethane) in the dual fuel configuration. The Volvo tractor units that are offered for retail in 2024, namely the Volvo FH Electric, Volvo FH500 in dual fuel configuration, and Volvo FH500TC Diesel Euro VI, were chosen for comparison. The considerations encompassed include the road tractor’s mass, energy usage, power-to-weight ratio, dynamics, ability to recharge or refuel, payload restrictions, impact on logistics expenses, compliance with regulations on drivers’ working hours, and a report on carbon dioxide emissions. The study concludes by discussing and drawing conclusions on the competitiveness of different drive types in truck tractors, specifically in relation to identifying the most suitable areas of application. Synthetic conclusions demonstrate the high effectiveness of the electric drive in urban and suburban conditions. However, vehicles equipped with internal combustion engines using renewable fuels fill the gap in energy-intensive drives in long-distance transport. Full article
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16 pages, 555 KiB  
Article
The Role of Financial Sanctions and Financial Development Factors on Central Bank Digital Currency Implementation
by Medina Ayta Mohammed, Carmen De-Pablos-Heredero and José Luis Montes Botella
FinTech 2024, 3(1), 135-150; https://doi.org/10.3390/fintech3010009 - 15 Feb 2024
Cited by 8 | Viewed by 4218
Abstract
This study investigates the influence of a country’s financial access and stability and the adoption of retail central bank digital currencies (CBDCs) across 71 countries. Using an ordinal logit model, we examine how individual financial access, the ownership of credit cards, financing accessibility [...] Read more.
This study investigates the influence of a country’s financial access and stability and the adoption of retail central bank digital currencies (CBDCs) across 71 countries. Using an ordinal logit model, we examine how individual financial access, the ownership of credit cards, financing accessibility by firms, offshore loans, financial sanctions, and the ownership structure of financial institutions influence the probability of CBDC adoption in nations. These findings reveal that nations facing financial sanctions and those with substantial offshore bank loans are more inclined to adopt CBDCs. Furthermore, a significant relationship is observed in countries where many people have restricted financial access, indicating heightened interest in CBDC adoption. Interestingly, no statistically significant relationship was found between the adoption of CBDCs and the percentage of foreign-owned banks in each country. The results show that countries with low financial stability and financial access adopt CBDCs faster. This study expands our knowledge of how a nation’s financial situation influences its adoption of CBDCs. The results provide important and relevant insights into the current discussion of the direction of global finance. Full article
(This article belongs to the Special Issue Financial Technology and Innovation Sustainable Development)
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9 pages, 237 KiB  
Article
Antimicrobial Sales Comparison before and after the Implementation of Nationwide Restriction Policy in Saudi Arabia
by Sulaiman M. Alajel, Khaloud O. Alzahrani, Amal A. Almohisen, Meshael M. Alrasheed and Salwa M. Almomen
Antibiotics 2024, 13(1), 15; https://doi.org/10.3390/antibiotics13010015 - 21 Dec 2023
Cited by 3 | Viewed by 3914
Abstract
Antimicrobial dispensing without a prescription has been identified as a significant contributor to the burgeoning crisis of antimicrobial resistance. To combat this, the Saudi Ministry of Health introduced a stringent antimicrobial restriction policy in mid-2018, mandating prescriptions for all antimicrobial drug dispensations at [...] Read more.
Antimicrobial dispensing without a prescription has been identified as a significant contributor to the burgeoning crisis of antimicrobial resistance. To combat this, the Saudi Ministry of Health introduced a stringent antimicrobial restriction policy in mid-2018, mandating prescriptions for all antimicrobial drug dispensations at pharmacies. Therefore, this study aimed to assess the immediate impact of this policy on retail antimicrobial sales. To do so, we analyzed annual sales data from 2017 to 2019 sourced from the IQVIA-MIDAS® database, which included a range of antimicrobials, such as antibiotics, antifungals, and other related agents. The analysis revealed a notable reduction in overall antimicrobial sales by 23.2%, decreasing from 818.9 million SAR in 2017 to 648.4 million SAR in 2019. While the Wilcoxon signed-rank test indicated a statistically significant median reduction in total antimicrobial sales post-policy implementation (p = 0.0397), it is important to acknowledge that the long-term effects and adherence to the policy require further investigation. Notably, sales of amoxicillin dropped by 70% in 2019 compared to 2017, contributing largely to the decline. Conversely, a continuous increase in sales of some antimicrobial drugs following the restriction policy was observed, led by amoxicillin/clavulanic acid. Our data support the implementation of antimicrobial restriction measures as an effective means of controlling excessive antimicrobial sales and dispensing without prescriptions. Full article
(This article belongs to the Special Issue Antimicrobial Stewardship and Prescribing Practice)
24 pages, 555 KiB  
Article
Capacity, Collision Avoidance and Shopping Rate under a Social Distancing Regime
by Haitian Zhong and David Sankoff
Entropy 2023, 25(12), 1668; https://doi.org/10.3390/e25121668 - 17 Dec 2023
Viewed by 1525
Abstract
Capacity restrictions in stores, maintained by mechanisms like spacing customer intake, became familiar features of retailing in the time of the pandemic. Shopping rates in a crowded store under a social distancing regime are prone to considerable slowdown. Inspired by the random particle [...] Read more.
Capacity restrictions in stores, maintained by mechanisms like spacing customer intake, became familiar features of retailing in the time of the pandemic. Shopping rates in a crowded store under a social distancing regime are prone to considerable slowdown. Inspired by the random particle collision concepts of statistical mechanics, we introduce a dynamical model of the evolution of the shopping rate as a function of a given customer intake rate. The slowdown of each individual customer is incorporated as an additive term to the baseline value of the shopping time, proportionally to the number of other customers in the store. We determine analytically and via simulation the trajectory of the model as it approaches a Little’s law equilibrium and identify the point beyond which equilibrium cannot be achieved. By relating the customer shopping rate to the slowdown compared with the baseline, we can calculate the optimal intake rate leading to maximum equilibrium spending. This turns out to be the maximum rate compatible with equilibrium. The slowdown due to the largest possible number of shoppers is more than compensated for by the increased volume of shopping. This macroscopic model is validated by simulation experiments in which avoidance interactions between pairs of shoppers are responsible for shopping delays. Full article
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