Dynamics of infection with nonlinear incidence in a simple vaccination model

被引：65

作者：

Xiao, Yanni ^{[2
]}

Tang, Sanyi ^{[1
]}

机构：

[1] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China

[2] Xi An Jiao Tong Univ, Dept Appl Math, Xian 710049, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2010年 / 11卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Vaccination; Backward bifurcation; Multistability; Nonlinear incidence; EPIDEMIC MODEL; BACKWARD BIFURCATION; BEHAVIOR; EFFICACY; VACCINES; RATES; STAGE;

D O I：

10.1016/j.nonrwa.2010.05.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We develop and analyze a simple SIV epidemic model including susceptible, infected and imperfectly vaccinated classes, with a nonlinear incidence rate. We investigate the interaction of the nonlinear incidence and partial immunity. Our main results show that nonlinear incidence rate could induce the forward bifurcation with hysteresis except for the backward bifurcation. The plausible effects of vaccination program have been demonstrated by two models with nonlinear incidence rate. Vaccination program may contribute to disease spread, depending on which transmission term involves nonlinear incidence rate. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：4154 / 4163

页数：10

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