Global dynamics in a class of discrete-time epidemic models with disease courses-Reference-Cited by-同舟云学术

Global dynamics in a class of discrete-time epidemic models with disease courses

Published:2013-03-15 Issue:1 Volume:2013 Page:
ISSN:1687-1847
Container-title:Advances in Difference Equations
language:en
Short-container-title:Adv Differ Equ

Author:

Wang Lei,Cui Qianqian,Teng Zhidong

Abstract

Abstract In this paper, a class of discrete SIRS epidemic models with disease courses is studied. The basic reproduction number R 0 is computed. The main results on the permanence and extinction of the disease are established. That is, the disease-free equilibrium is globally attractive if R 0 < 1 , and there exists a unique endemic equilibrium and the disease is also permanent if R 0 > 1 . MSC:39A30, 92D30.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Link

https://link.springer.com/content/pdf/10.1186/1687-1847-2013-57.pdf

Reference29 articles.

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