GLOBAL STABILITY FOR THE SEIR MODEL IN EPIDEMIOLOGY

被引：592

作者：

LI, MY

MULDOWNEY, JS

机构：

[1] Department of Mathematics, University of Alberta, Edmonton

来源：

MATHEMATICAL BIOSCIENCES | 1995年 / 125卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

D O I：

10.1016/0025-5564(95)92756-5

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The SEIR model with nonlinear incidence rates in epidemiology is studied. Global stability of the endemic equilibrium is proved using a general criterion for the orbital stability of periodic orbits associated with higher-dimensional nonlinear autonomous systems as well as the theory of competitive systems of differential equations.

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收藏

页码：155 / 164

页数：10

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