On the global stability of the endemic state in an epidemic model with vaccination

被引：10

作者：

Parsamanesh, Mahmood ^{[1
]}

Farnoosh, Rahman ^{[2
]}

机构：

[1] Univ Zabol, Fac Sci, Dept Math, Zabol, Iran

[2] Iran Univ Sci & Technol, Fac Math Sci, Tehran, Iran

来源：

MATHEMATICAL SCIENCES | 2018年 / 12卷 / 04期

关键词：

SIS epidemic model; Vaccination; Endemic equilibrium; Global stability; Geometric approach; DISCRETE;

D O I：

10.1007/s40096-018-0271-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates an SIS epidemic model with variable population size including a vaccination program. Dynamics of the endemic equilibrium of the model are obtained, and it will be shown that this equilibrium exists and is locally asymptotically stable when R-0 > 1. In this case, the disease uniformly persists, and moreover, using a geometric approach we conclude that the model is globally asymptotically stable under some conditions. Also, a numerical discussion is given to verify the theoretical results.

引用

页码：313 / 320

页数：8

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