Topic Editors

Dr. Babak Shiri
School of International Education, Neijiang Normal University, Neijiang 641004, China
Dr. Zahra Alijani
Institute for Research and Applications of Fuzzy Modeling, University of Ostrava, 702 00 Ostrava, Czech Republic

Mathematical Modeling

Abstract submission deadline
31 March 2024
Manuscript submission deadline
31 May 2024
Viewed by
4107

Topic Information

Dear Colleagues,

Mathematical modeling is the basis of technology, design, and control. Mathematical modeling can be a theory or a database. Theory and data involve each other to better understand physical or metaphysical worlds. We seek high-quality studies on new and innovative approaches, written to be simple and readable. We welcome submissions presenting new theoretical results, structural investigations, new models, algorithmic approaches, and new applications of mathematical physics problems. New scientific research works in the fields of epidemiology, biology, economy, ecology, medicine, physiology, sociology, chemistry, physics, and electronic and mechanical engineering, as well as civil engineering, are welcome.

Dr. Babak Shiri
Dr. Zahra Alijani
Topic Editors

Keywords

  • factional theory
  • neural network
  • fuzzy theory
  • dynamical systems
  • epidemiological model
  • differential equations
  • integral equations
  • partial differential equations
  • algebraic equations
  • boundary value problems and inverse problems

Participating Journals

Journal Name Impact Factor CiteScore Launched Year First Decision (median) APC
Axioms
axioms
1.824 2.6 2012 17.8 Days 1600 CHF Submit
Computation
computation
- 3.3 2013 16.2 Days 1600 CHF Submit
Mathematical and Computational Applications
mca
- - 1996 16.6 Days 1400 CHF Submit
Mathematics
mathematics
2.592 2.9 2013 16.8 Days 2100 CHF Submit
Symmetry
symmetry
2.940 4.3 2009 14.2 Days 2000 CHF Submit

Preprints is a platform dedicated to making early versions of research outputs permanently available and citable. MDPI journals allow posting on preprint servers such as Preprints.org prior to publication. For more details about reprints, please visit https://www.preprints.org.

Published Papers (8 papers)

Order results
Result details
Journals
Select all
Export citation of selected articles as:
Article
Deterioration Control Decision Support System for the Retailer during Availability of Trade Credit and Shortages
Mathematics 2023, 11(3), 580; https://doi.org/10.3390/math11030580 - 21 Jan 2023
Viewed by 252
Abstract
The deterioration rate is a significant aspect of perishable goods. Since perishable items will always deteriorate, there are effective methods for reducing the rate of deterioration. Furthermore, in the existing inventory control literature, the deterioration rate is often viewed as an exogenous component. [...] Read more.
The deterioration rate is a significant aspect of perishable goods. Since perishable items will always deteriorate, there are effective methods for reducing the rate of deterioration. Furthermore, in the existing inventory control literature, the deterioration rate is often viewed as an exogenous component. Keeping this problem in mind, this article develops the perishable inventory control system from the retailer’s perspective in which: (i) the deterioration rate is a controllable factor and suggests a new fresh quality technology (FQT) indicator, (ii) demand is determined by the perishable product’s quality, that is controlled by its rate of deterioration, (iii) the credit duration is predefined, and (iv) shortages are expected. The key goal is to demonstrate that there is an ideal quantity of the order that minimizes the retailer’s overall cost in terms of cycle time and deterioration rate. Finally, theoretical results are validated by solving two numerical illustrations and conducting a sensitivity analysis of the main factors resulting from the following managerial implications: (i) if the range of deterioration is between zero and one then the retailer should invest in the preservation factor to preserve the perishable product and if greater than one the retailer should not invest in the preservation factor, (ii) credit period significantly reduces the total cost. Hence, this trade credit strategy is more beneficial to the model. Full article
(This article belongs to the Topic Mathematical Modeling)
Show Figures

Figure 1

Article
Application of the ARA Method in Solving Integro-Differential Equations in Two Dimensions
Computation 2023, 11(1), 4; https://doi.org/10.3390/computation11010004 - 29 Dec 2022
Viewed by 446
Abstract
The main purpose of this study is to investigate solutions of some integral equations of different classes using a new scheme. This research introduces and implements the new double ARA transform to solve integral and partial integro-differential equations. We introduce basic theorems and [...] Read more.
The main purpose of this study is to investigate solutions of some integral equations of different classes using a new scheme. This research introduces and implements the new double ARA transform to solve integral and partial integro-differential equations. We introduce basic theorems and properties of the double ARA transform in two dimensions, and some results related to the double convolution theorem and partial derivatives are presented. In addition, to show the validity of the proposed technique, we introduce and solve some examples using the new approach. Full article
(This article belongs to the Topic Mathematical Modeling)
Article
A Microscopic Heterogeneous Traffic Flow Model Considering Distance Headway
Mathematics 2023, 11(1), 184; https://doi.org/10.3390/math11010184 - 29 Dec 2022
Viewed by 315
Abstract
The intelligent driver (ID) model characterizes traffic behavior with a constant acceleration exponent and does not follow traffic physics. This results in unrealistic traffic behavior. In this paper, a new microscopic heterogeneous traffic flow model is proposed which improves the performance of the [...] Read more.
The intelligent driver (ID) model characterizes traffic behavior with a constant acceleration exponent and does not follow traffic physics. This results in unrealistic traffic behavior. In this paper, a new microscopic heterogeneous traffic flow model is proposed which improves the performance of the ID model. The forward and lateral distance headways are used to characterize traffic behavior. The stability of the ID and proposed models is examined over a 1000 m circular road with a traffic disturbance after 30 s. The results obtained show that the proposed model is more stable than the ID model. The performance of the proposed and ID models is evaluated over an 1800 m circular road for 150 s with a platoon of 51 vehicles. Results are presented which indicate that traffic evolves realistically with the proposed model. This is because it is based on the lateral distance headway. Full article
(This article belongs to the Topic Mathematical Modeling)
Show Figures

Figure 1

Article
Dynamical Behaviour of a Modified Tuberculosis Model with Impact of Public Health Education and Hospital Treatment
Axioms 2022, 11(12), 723; https://doi.org/10.3390/axioms11120723 - 13 Dec 2022
Viewed by 572
Abstract
Tuberculosis (TB), caused by Mycobacterium tuberculosis is one of the treacherous infectious diseases of global concern. In this paper, we consider a deterministic model of TB infection with the public health education and hospital treatment impact. The effective reproductive number, [...] Read more.
Tuberculosis (TB), caused by Mycobacterium tuberculosis is one of the treacherous infectious diseases of global concern. In this paper, we consider a deterministic model of TB infection with the public health education and hospital treatment impact. The effective reproductive number, Rph, that measures the potential spread of TB is presented by employing the next generation matrix approach. We investigate local and global stability of the TB-free equilibrium point, endemic equilibrium point, and sensitivity analysis. The analyses of the proposed model show that the model undergoes the phenomenon of backward bifurcation when the effective reproduction number (Rph) is less than one, where two stable equilibria, namely, the DFE and an EEP coexist. Further, we compute the sensitivity of the impact of each parameter on the effective reproductive number of the model by employing a normalized sensitivity index formula. Numerical simulation of the proposed model was conducted using Maple 2016 and MatLab R2020b software and compared with the theoretical results for illustration purposes. The investigation results can be useful in providing information to policy makers and public health authorities in mitigating the spread of TB infection by public health education and hospital treatment. Full article
(This article belongs to the Topic Mathematical Modeling)
Show Figures

Figure 1

Article
Applications of Double ARA Integral Transform
Computation 2022, 10(12), 216; https://doi.org/10.3390/computation10120216 - 08 Dec 2022
Cited by 1 | Viewed by 371
Abstract
This paper describes our construction of a new double transform, which we call the double ARA transform (DARAT). Our novel double-integral transform can be used to solve partial differential equations and other problems. We discuss some fundamental characteristics of our approach, including existence, [...] Read more.
This paper describes our construction of a new double transform, which we call the double ARA transform (DARAT). Our novel double-integral transform can be used to solve partial differential equations and other problems. We discuss some fundamental characteristics of our approach, including existence, linearity, and several findings relating to partial derivatives and the double convolution theorem. DARAT can be used to precisely solve a variety of partial differential equations, including the heat equation, wave equation, telegraph equation, Klein–Gordon equation, and others, all of which are crucial for physical applications. Herein, we use DARAT to solve model integral equations to obtain exact solutions. We conclude that our novel method is easier to use than comparable transforms. Full article
(This article belongs to the Topic Mathematical Modeling)
Article
Calculation of the Free Energy of the Ising Model on a Cayley Tree via the Self-Similarity Method
Axioms 2022, 11(12), 703; https://doi.org/10.3390/axioms11120703 - 07 Dec 2022
Viewed by 381
Abstract
In this study, an interactive Ising model having the nearest and prolonged next-nearest neighbors defined on a Cayley tree is considered. Inspired by the results obtained for the one-dimensional Ising model, we will construct the partition function and then calculate the free energy [...] Read more.
In this study, an interactive Ising model having the nearest and prolonged next-nearest neighbors defined on a Cayley tree is considered. Inspired by the results obtained for the one-dimensional Ising model, we will construct the partition function and then calculate the free energy of the Ising model having the prolonged next nearest and nearest neighbor interactions and external field on a two-order Cayley tree using the self-similarity of the semi-infinite Cayley tree. The phase transition problem for the Ising system is investigated under the given conditions. Full article
(This article belongs to the Topic Mathematical Modeling)
Show Figures

Figure 1

Article
Well-Posedness Results of Certain Variational Inequalities
Mathematics 2022, 10(20), 3809; https://doi.org/10.3390/math10203809 - 15 Oct 2022
Viewed by 380
Abstract
Well-posedness and generalized well-posedness results are examined for a class of commanded variational inequality problems. In this regard, by using the concepts of hemicontinuity, monotonicity, and pseudomonotonicity of the considered functional, and by introducing the set of approximating solutions of the considered commanded [...] Read more.
Well-posedness and generalized well-posedness results are examined for a class of commanded variational inequality problems. In this regard, by using the concepts of hemicontinuity, monotonicity, and pseudomonotonicity of the considered functional, and by introducing the set of approximating solutions of the considered commanded variational inequality problems, we establish several well-posedness and generalized well-posedness results. Moreover, some illustrative examples are provided to highlight the effectiveness of the results obtained in the paper. Full article
(This article belongs to the Topic Mathematical Modeling)
Article
Mathematical Assessment of the Impact of the Imperfect Vaccination on Diphtheria Transmission Dynamics
Symmetry 2022, 14(10), 2000; https://doi.org/10.3390/sym14102000 - 24 Sep 2022
Viewed by 555
Abstract
Diphtheria is a vaccine-preventable disease in which the outbreaks will not occur if a high enough proportion of individuals in a population are immune. Recent reports reveal that vaccinated individuals with low coverage levels of immunity may be at risk of subclinical diphtheria [...] Read more.
Diphtheria is a vaccine-preventable disease in which the outbreaks will not occur if a high enough proportion of individuals in a population are immune. Recent reports reveal that vaccinated individuals with low coverage levels of immunity may be at risk of subclinical diphtheria infection. Therefore, the development of an epidemiology model that will predict the optimal vaccine coverage level needed to prevent the spread of these diseases is crucial. In this paper, a mathematical model for diphtheria transmission with asymptomatic infection, logistic growth, and vaccination is formulated and rigorously analyzed to gain insights into its global dynamical features. The study results show that the disease is eradicated whenever the vaccination coverage is greater than the optimal vaccination coverage level needed for diphtheria eradication. The reported cases of diphtheria in Thailand are applied to estimate the appropriate parameters of the model. Sensitivity analysis reveals the rate of vaccination and the asymptomatic infection are influential factors in controlling and preventing diphtheria. Numerical simulations are illustrated in the theoretical results and show that the incubation period of asymptomatic individuals has an impact on the optimal vaccination coverage level needed for diphtheria eradication. Full article
(This article belongs to the Topic Mathematical Modeling)
Show Figures

Figure 1

Back to TopTop