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一类具有时滞的病菌-免疫力模型的Hopf分歧

项晶菁 权豫西

应用数学2012,Vol.25Issue(1):140-149,10.
应用数学2012,Vol.25Issue(1):140-149,10.

一类具有时滞的病菌-免疫力模型的Hopf分歧

The Hopf Bifurcation of a Bacteria-immunity Model with Time Delay

项晶菁 1权豫西1

作者信息

  • 1. 西安建筑科技大学理学院数学系,陕西西安710055
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摘要

Abstract

In view of an exchanging information mechanism of bacteria,a delayed epidemic model with the competition between bacteria and the immune system is formulated. In the sequel, the existence and stability of the positive equilibrium are investigated, respectively. Then,the existence and direction of Hopf bifurcation are discussed. At last,numerical simulations are curried out to verify the theory results,and which provide theory and numerical basis to control and prevent the epidemic disease.

关键词

Hopf分歧/时滞/传染病模型/免疫系统

Key words

Hopf bifurcation/Time delay/Epidemic model/Immune system

分类

数理科学

引用本文复制引用

项晶菁,权豫西..一类具有时滞的病菌-免疫力模型的Hopf分歧[J].应用数学,2012,25(1):140-149,10.

应用数学

OA北大核心CSCDCSTPCD

1001-9847

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