Stability Analysis of an SEIR Epidemic Model with Stochastic Perturbation and Numerical Simulation-Reference-Cited by-同舟云学术

Stability Analysis of an SEIR Epidemic Model with Stochastic Perturbation and Numerical Simulation

Published:2013-01-13 Issue:2 Volume:14 Page:
ISSN:1565-1339
Container-title:International Journal of Nonlinear Sciences and Numerical Simulation
language:
Short-container-title:

Author:

Fan Xiaoming,Wang Zhigang

Abstract

AbstractAn SEIR epidemic model with constant immigration and random fluctuation around the endemic equilibrium is considered. As a special case, a deterministic system discussed by Li et al. will be incorporated into the stochastic version given by us. We carry out a detailed analysis on the asymptotic behavior of the stochastic model, also regarding of the basic reproduction number ℛ

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Physics and Astronomy,Mechanics of Materials,Engineering (miscellaneous),Modeling and Simulation,Computational Mechanics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ijnsns-2012-0054/pdf

Cited by 9 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Stability analysis and numerical approximate solution for a new epidemic model with the vaccination strategy;Mathematical Methods in the Applied Sciences;2024-01-25

2. Dynamic behavior of a stochastic SIRS model with two viruses;International Journal of Nonlinear Sciences and Numerical Simulation;2020-11-10

3. Study on a susceptible–exposed–infected–recovered model with nonlinear incidence rate;Advances in Difference Equations;2020-05-12

4. Stationary distribution and extinction of a stochastic tuberculosis model;Physica A: Statistical Mechanics and its Applications;2020-05

5. An extended SEIR model considering homepage effect for the information propagation of online social networks;Physica A: Statistical Mechanics and its Applications;2018-12