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231 Results Found

  • Article
  • Open Access
3 Citations
1,558 Views
14 Pages

18 May 2024

This paper introduces stochastic disturbances into a semi-parametric SEIR model with infectivity in an incubation period. The model combines the randomness of disease transmission and the nonlinearity of transmission rate, providing a flexible framew...

  • Article
  • Open Access
12 Citations
3,990 Views
20 Pages

Analysis of a SEIR-KS Mathematical Model For Computer Virus Propagation in a Periodic Environment

  • Aníbal Coronel,
  • Fernando Huancas,
  • Ian Hess,
  • Esperanza Lozada and
  • Francisco Novoa-Muñoz

In this work we develop a study of positive periodic solutions for a mathematical model of the dynamics of computer virus propagation. We propose a generalized compartment model of SEIR-KS type, since we consider that the population is partitioned in...

  • Article
  • Open Access
635 Views
20 Pages

15 July 2025

This paper investigates a stochastic semi-parametric SEIR model characterized by infectivity during the incubation period and influenced by white noise perturbations. First, based on the theory of stochastic persistence, we derive the conditions requ...

  • Article
  • Open Access
18 Citations
4,024 Views
13 Pages

Uncertainty Modeling of a Modified SEIR Epidemic Model for COVID-19

  • Yanjin Wang,
  • Pei Wang,
  • Shudao Zhang and
  • Hao Pan

2 August 2022

Based on SEIR (susceptible–exposed–infectious–removed) epidemic model, we propose a modified epidemic mathematical model to describe the spread of the coronavirus disease 2019 (COVID-19) epidemic in Wuhan, China. Using public data,...

  • Article
  • Open Access
6 Citations
2,968 Views
18 Pages

Bayesian Inference for COVID-19 Transmission Dynamics in India Using a Modified SEIR Model

  • Kai Yin,
  • Anirban Mondal,
  • Martial Ndeffo-Mbah,
  • Paromita Banerjee,
  • Qimin Huang and
  • David Gurarie

31 October 2022

We propose a modified population-based susceptible-exposed-infectious-recovered (SEIR) compartmental model for a retrospective study of the COVID-19 transmission dynamics in India during the first wave. We extend the conventional SEIR methodology to...

  • Article
  • Open Access
17 Citations
5,004 Views
30 Pages

We studied obtaining exact solutions to a set of equations related to the SEIR (Susceptible-Exposed-Infectious-Recovered) model of epidemic spread. These solutions may be used to model epidemic waves. We transformed the SEIR model into a differential...

  • Article
  • Open Access
22 Citations
5,534 Views
14 Pages

An Enhanced SEIR Model for Prediction of COVID-19 with Vaccination Effect

  • Ramesh Chandra Poonia,
  • Abdul Khader Jilani Saudagar,
  • Abdullah Altameem,
  • Mohammed Alkhathami,
  • Muhammad Badruddin Khan and
  • Mozaherul Hoque Abul Hasanat

27 April 2022

Currently, the spread of COVID-19 is running at a constant pace. The current situation is not so alarming, but every pandemic has a history of three waves. Two waves have been seen, and now expecting the third wave. Compartmental models are one of th...

  • Article
  • Open Access
5 Citations
1,962 Views
17 Pages

23 January 2024

A stochastic SEIR epidemic model with standard incidence and vertical transmission was developed in this work. The primary goal of this study was to determine whether stochastic environmental disturbances affect dynamic features of the epidemic model...

  • Article
  • Open Access
6 Citations
3,854 Views
38 Pages

This article develops a detailed epidemiological multi-factor model, the K-susceptible–exposed–infected–removed (K-SEIR) model, and several simpler sub-models as its building blocks. The general model enables us to account for all t...

  • Article
  • Open Access
1,849 Views
11 Pages

21 January 2025

This article establishes and studies a SEIR infectious disease model with higher-order perturbation. Firstly, we proved the existence and uniqueness of the overall positive solution of the model. Secondly, by constructing a Lyapunov function, we obta...

  • Article
  • Open Access
12 Citations
3,109 Views
16 Pages

The global COVID-19 pandemic has taken a heavy toll on health, social, and economic costs since the end of 2019. Predicting the spread of a pandemic is essential to developing effective intervention policies. Since the beginning of this pandemic, man...

  • Article
  • Open Access
6 Citations
3,013 Views
12 Pages

Tourism destinations are now facing a dilemma choice of controlling the epidemic or developing the economy. This paper takes Macao, a typical international tourist city, as an example to study the strategy of tourist source control during the COVID-1...

  • Article
  • Open Access
14 Citations
2,753 Views
18 Pages

A Mathematical Study on a Fractional-Order SEIR Mpox Model: Analysis and Vaccination Influence

  • Iqbal M. Batiha,
  • Ahmad A. Abubaker,
  • Iqbal H. Jebril,
  • Suha B. Al-Shaikh,
  • Khaled Matarneh and
  • Manal Almuzini

1 September 2023

This paper establishes a novel fractional-order version of a recently expanded form of the Susceptible-Exposed-Infectious-Recovery (SEIR) Mpox model. This model is investigated by means of demonstrating some significant findings connected with the st...

  • Article
  • Open Access
13 Citations
5,903 Views
23 Pages

21 October 2015

A SEIR control model describing the Ebola epidemic in a population of a constant size is considered over a given time interval. It contains two intervention control functions reflecting efforts to protect susceptible individuals from infected and exp...

  • Article
  • Open Access
9 Citations
3,012 Views
31 Pages

8 January 2023

Due to insufficient epidemic detection and control, untimely government interventions, and high epidemic prevention costs in the early stages of the epidemic outbreak, the spread of the epidemic may become out of control and pose a great threat to hu...

  • Article
  • Open Access
3 Citations
2,335 Views
16 Pages

Analysis Time-Delayed SEIR Model with Survival Rate for COVID-19 Stability and Disease Control

  • M. H. Hassan,
  • Tamer El-Azab,
  • Ghada AlNemer,
  • M. A. Sohaly and
  • H. El-Metwally

26 November 2024

This paper presents a mathematical model to examine the transmission and stability dynamics of the SEIR model for COVID-19. To assess disease progression, the model incorporates a time delay for the time delay and survival rates. Then, we use the Rou...

  • Article
  • Open Access
9 Citations
4,720 Views
16 Pages

SEIR Mathematical Model of Convalescent Plasma Transfusion to Reduce COVID-19 Disease Transmission

  • Hennie Husniah,
  • Ruhanda Ruhanda,
  • Asep K. Supriatna and
  • Md. H. A. Biswas

10 November 2021

In some diseases, due to the restrictive availability of vaccines on the market (e.g., during the early emergence of a new disease that may cause a pandemic such as COVID-19), the use of plasma transfusion is among the available options for handling...

  • Article
  • Open Access
1 Citations
1,626 Views
30 Pages

Epidemics spread through shipping networks and have dual characteristics as both biological sources of infection and triggers of cascading failures. However, existing resilience models fail to capture this dual and coupled dynamics. To minimize the c...

  • Article
  • Open Access
2,874 Views
25 Pages

In this article, we analyze a second-order stochastic SEIR epidemic model with latent infectious and susceptible populations isolated at home. Firstly, by putting forward a novel inequality, we provide a criterion for the presence of an ergodic stati...

  • Article
  • Open Access
7 Citations
2,269 Views
16 Pages

Extended Runge-Kutta Scheme and Neural Network Approach for SEIR Epidemic Model with Convex Incidence Rate

  • Ahmed A. Al Ghafli,
  • Yasir Nawaz,
  • Hassan J. Al Salman and
  • Muavia Mansoor

22 August 2023

For solving first-order linear and nonlinear differential equations, a new two-stage implicit–explicit approach is given. The scheme’s first stage, or predictor stage, is implicit, while the scheme’s second stage is explicit. The fi...

  • Article
  • Open Access
145 Citations
14,958 Views
16 Pages

17 March 2021

In this paper, an extended SEIR model with a vaccination compartment is proposed to simulate the novel coronavirus disease (COVID-19) spread in Saudi Arabia. The model considers seven stages of infection: susceptible (S), exposed (E), infectious (I),...

  • Article
  • Open Access
51 Citations
17,731 Views
7 Pages

30 March 2020

Ongoing outbreak of pneumonia caused by novel coronavirus (2019-nCoV) began in December 2019 in Wuhan, China, and the number of new patients continues to increase. Even though it began to spread to many other parts of the world, such as other Asian c...

  • Article
  • Open Access
15 Citations
4,709 Views
11 Pages

Analysis of the Healthcare MERS-CoV Outbreak in King Abdulaziz Medical Center, Riyadh, Saudi Arabia, June–August 2015 Using a SEIR Ward Transmission Model

  • Tamer Oraby,
  • Michael G. Tyshenko,
  • Hanan H. Balkhy,
  • Yasar Tasnif,
  • Adriana Quiroz-Gaspar,
  • Zeinab Mohamed,
  • Ayesha Araya,
  • Susie Elsaadany,
  • Eman Al-Mazroa and
  • Mustafa Al-Zoughool
  • + 2 authors

Middle East respiratory syndrome coronavirus (MERS-CoV) is an emerging zoonotic coronavirus that has a tendency to cause significant healthcare outbreaks among patients with serious comorbidities. We analyzed hospital data from the MERS-CoV outbreak...

  • Article
  • Open Access
1 Citations
2,501 Views
24 Pages

20 June 2025

Over the past decade, the rapid growth of supply chain finance (SCF) in developing countries has made it a key profit driver for commercial banks and financial firms. In parallel, financial risk control in SCF has attracted more and more attention fr...

  • Article
  • Open Access
2,789 Views
18 Pages

11 September 2022

The behavioral choices and speculative psychology of the participants in medical waste disposal can lead to the evolution of the medical waste disposal crisis, which has a great impact on and represents a potential threat to environmental safety as w...

  • Article
  • Open Access
36 Citations
6,078 Views
11 Pages

Forecasting COVID-19-Associated Hospitalizations under Different Levels of Social Distancing in Lombardy and Emilia-Romagna, Northern Italy: Results from an Extended SEIR Compartmental Model

  • Chiara Reno,
  • Jacopo Lenzi,
  • Antonio Navarra,
  • Eleonora Barelli,
  • Davide Gori,
  • Alessandro Lanza,
  • Riccardo Valentini,
  • Biao Tang and
  • Maria Pia Fantini

The outbreak of coronavirus disease 2019 (COVID-19) was identified in Wuhan, China, in December 2019. As of 17 April 2020, more than 2 million cases of COVID-19 have been reported worldwide. Northern Italy is one of the world’s centers of activ...

  • Article
  • Open Access
28 Citations
6,127 Views
24 Pages

23 November 2020

This paper investigates a susceptible-exposed-infectious-recovered (SEIR) epidemic model with demography under two vaccination effort strategies. Firstly, the model is investigated under vaccination of newborns, which is fact in a direct action on th...

  • Article
  • Open Access
14 Citations
4,274 Views
17 Pages

23 March 2020

This paper is concerned with the stability of an age-structured susceptible–exposed– infective–recovered–susceptible (SEIRS) model with time delay. Firstly, the traveling wave solution of system can be obtained by using the me...

  • Proceeding Paper
  • Open Access
6 Citations
10,848 Views
8 Pages

In this paper, we consider the SEIR (Susceptible-Exposed-Infectious-Removed) model for studying COVID-19. The main contributions of this paper are: (i) a detailed explanation of the SEIR model, with the significance of its parameters. (ii) calibratio...

  • Article
  • Open Access
4 Citations
2,249 Views
16 Pages

12 October 2022

In real life, individuals play an important role in the social networking system. When an epidemic breaks out the individual’s recovery rate depends heavily on the social network in which he or she lives. For this reason, in this paper a nonlin...

  • Article
  • Open Access
6 Citations
3,695 Views
18 Pages

Design and Application of an Interval Estimator for Nonlinear Discrete-Time SEIR Epidemic Models

  • Awais Khan,
  • Xiaoshan Bai,
  • Muhammad Ilyas,
  • Arshad Rauf,
  • Wei Xie,
  • Peiguang Yan and
  • Bo Zhang

This paper designs an interval estimator for a fourth-order nonlinear susceptible-exposed-infected-recovered (SEIR) model with disturbances using noisy counts of susceptible people provided by Public Health Services (PHS). Infectious diseases are con...

  • Article
  • Open Access
38 Citations
7,801 Views
14 Pages

An Integrated Neural Network and SEIR Model to Predict COVID-19

  • Sharif Noor Zisad,
  • Mohammad Shahadat Hossain,
  • Mohammed Sazzad Hossain and
  • Karl Andersson

19 March 2021

A novel coronavirus (COVID-19), which has become a great concern for the world, was identified first in Wuhan city in China. The rapid spread throughout the world was accompanied by an alarming number of infected patients and increasing number of dea...

  • Article
  • Open Access
148 Citations
8,919 Views
19 Pages

We applied a generalized SEIR epidemiological model to the recent SARS-CoV-2 outbreak in the world, with a focus on Italy and its Lombardy, Piedmont, and Veneto regions. We focused on the application of a stochastic approach in fitting the model para...

  • Article
  • Open Access
16 Citations
4,191 Views
28 Pages

24 July 2022

Data from the World Health Organization indicate that Bulgaria has the second-highest COVID-19 mortality rate in the world and the lowest vaccination rate in the European Union. In this context, to find the crucial epidemiological parameters that cha...

  • Article
  • Open Access
40 Citations
5,221 Views
19 Pages

Integer Versus Fractional Order SEIR Deterministic and Stochastic Models of Measles

  • Md Rafiul Islam,
  • Angela Peace,
  • Daniel Medina and
  • Tamer Oraby

In this paper, we compare the performance between systems of ordinary and (Caputo) fractional differential equations depicting the susceptible-exposed-infectious-recovered (SEIR) models of diseases. In order to understand the origins of both approach...

  • Article
  • Open Access
5 Citations
2,728 Views
23 Pages

8 September 2021

This paper is concerned with the stability of a SEIR (susceptible-exposed-infectious-recovered) model with the age of infection and vaccination. Firstly, we prove the positivity, boundedness, and asymptotic smoothness of the solutions. Next, the exis...

  • Article
  • Open Access
1,920 Views
15 Pages

8 October 2023

(1) Background: The spread of agricultural green production technologies and systems among small farmers is affected by multiple factors such as subjectivity and objectivity. (2) Methods: Based on the marketability of agricultural green production so...

  • Article
  • Open Access
5 Citations
3,642 Views
13 Pages

Graph, Spectra, Control and Epidemics: An Example with a SEIR Model

  • Giacomo Aletti,
  • Alessandro Benfenati and
  • Giovanni Naldi

22 November 2021

Networks and graphs offer a suitable and powerful framework for studying the spread of infection in human and animal populations. In the case of a heterogeneous population, the social contact network has a pivotal role in the analysis of directly tra...

  • Article
  • Open Access
340 Views
22 Pages

The foliar pathogens of wheat, particularly Zymoseptoria tritici and Pyrenophora tritici-repentis, represent a significant threat to yield. We used a SEIR (Susceptible–Exposed–Infected–Removed) model to quantify epidemic dynamics ba...

  • Article
  • Open Access
15 Citations
3,964 Views
18 Pages

A three-strain SEIR epidemic model with a vaccination strategy is suggested and studied in this work. This model is represented by a system of nine nonlinear ordinary differential equations that describe the interaction between susceptible individual...

  • Article
  • Open Access
18 Citations
2,693 Views
12 Pages

Analyzing the Asymptotic Behavior of an Extended SEIR Model with Vaccination for COVID-19

  • Vasileios E. Papageorgiou,
  • Georgios Vasiliadis and
  • George Tsaklidis

23 December 2023

Several research papers have attempted to describe the dynamics of COVID-19 based on systems of differential equations. These systems have taken into account quarantined or isolated cases, vaccinations, control measures, and demographic parameters, p...

  • Article
  • Open Access
23 Citations
2,960 Views
16 Pages

Dynamical Analysis and Optimal Control for a SEIR Model Based on Virus Mutation in WSNs

  • Guiyun Liu,
  • Jieyong Chen,
  • Zhongwei Liang,
  • Zhimin Peng and
  • Junqiang Li

22 April 2021

With the rapid development of science and technology, the application of wireless sensor networks (WSNs) is more and more widely. It has been widely concerned by scholars. Viruses are one of the main threats to WSNs. In this paper, based on the princ...

  • Article
  • Open Access
16 Citations
4,197 Views
26 Pages

On a Discrete SEIR Epidemic Model with Two-Doses Delayed Feedback Vaccination Control on the Susceptible

  • Manuel De la Sen,
  • Santiago Alonso-Quesada,
  • Asier Ibeas and
  • Raul Nistal

18 April 2021

A new discrete susceptible-exposed-infectious-recovered (SEIR) epidemic model is presented subject to a feedback vaccination effort involving two doses. Both vaccination doses, which are subject to a non-necessarily identical effectiveness, are admin...

  • Article
  • Open Access
2 Citations
1,968 Views
29 Pages

Exploring SEIR Influenza Epidemic Model via Fuzzy ABC Fractional Derivatives with Crowley–Martin Incidence Rate

  • F. Gassem,
  • Ashraf A. Qurtam,
  • Mohammed Almalahi,
  • Mohammed Rabih,
  • Khaled Aldwoah,
  • Abdelaziz El-Sayed and
  • E. I. Hassan

Despite initial changes in respiratory illness epidemiology due to SARS-CoV-2, influenza activity has returned to pre-pandemic levels, highlighting its ongoing challenges. This paper investigates an influenza epidemic model using a Susceptible-Expose...

  • Article
  • Open Access
17 Citations
4,503 Views
17 Pages

21 October 2019

With the high integration of smart grid information and physical systems, the security of information systems must affect the safe and stable operation of physical systems. Risk assessment is an effectual means to objectively evaluate the information...

  • Article
  • Open Access
5 Citations
2,649 Views
16 Pages

15 June 2022

In this paper, we present stochastic synchronous cellular automaton defined on a square lattice. The automaton rules are based on the SEIR (susceptible → exposed → infected → recovered) model with probabilistic parameters gathered from...

  • Article
  • Open Access
38 Citations
4,693 Views
25 Pages

Combining Public Opinion Dissemination with Polarization Process Considering Individual Heterogeneity

  • Tinggui Chen,
  • Jingtao Rong,
  • Jianjun Yang,
  • Guodong Cong and
  • Gongfa Li

7 February 2021

The wide dissemination of false information and the frequent occurrence of extreme speeches on online social platforms have become increasingly prominent, which impact on the harmony and stability of society. In order to solve the problems in the dis...

  • Article
  • Open Access
46 Citations
5,253 Views
11 Pages

SEAHIR: A Specialized Compartmental Model for COVID-19

  • Alexandros Leontitsis,
  • Abiola Senok,
  • Alawi Alsheikh-Ali,
  • Younus Al Nasser,
  • Tom Loney and
  • Aamena Alshamsi

The SEIR (Susceptible-Exposed-Infected-Removed) model is widely used in epidemiology to mathematically model the spread of infectious diseases with incubation periods. However, the SEIR model prototype is generic and not able to capture the unique na...

  • Article
  • Open Access
6 Citations
3,742 Views
16 Pages

Modeling the Spread of COVID-19 in Enclosed Spaces

  • Matthew David Gaddis and
  • Valipuram S. Manoranjan

SEIR models are typically conjured for populations in open environments; however, there seems to be a lack of these types of models that deal with infection rates amongst enclosed spaces. We have also seen certain age groups struggle to deal with COV...

  • Article
  • Open Access
2 Citations
2,754 Views
23 Pages

A Multistage Time-Delay Control Model for COVID-19 Transmission

  • Zhuang Wu,
  • Yuanyuan Wang,
  • Jing Gao,
  • Jiayang Song and
  • Yi Zhang

7 November 2022

With the transmission of the COVID-19 epidemic at home and abroad, this paper considers the spread process in China, improves the classic epidemic SEIR model, and establishes a multistage time-delay control model (MTCM) for COVID-19 transmission. The...

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