计算机工程与应用2016，Vol.52Issue(17)：68-72,5.DOI:10.3778/j.issn.1002-8331.1602-0076
具有时滞和饱和接触率的SIRS模型的Hopf分支
Hopf bifurcation of SIRS models with delayed and saturation inci-dence
摘要
Abstract
This thesis researches SIRS models with delayed and saturation incidence by using the bifurcation method of differential equations. By means of the Hopf bifurcation theorem and considering the delay τ as a bifurcation parameter, the endemic equilibrium is locally stable when τ is small enough and Hopf bifurcation occurs when τ passes through some critical values. Matlab is employed to carry out numerical simulation to verify the results.关键词
时滞/Hopf分支/饱和接触率/SIRS模型Key words
time delayed/Hopf bifurcation/saturation incidence/SIRS models分类
数理科学引用本文复制引用
章培军,王震,孙卫,张慧..具有时滞和饱和接触率的SIRS模型的Hopf分支[J].计算机工程与应用,2016,52(17):68-72,5.基金项目
国家自然科学基金（No.10971164）；陕西省自然科学基础研究计划项目（No.2016JM1024）；陕西省教育厅科研计划项目（No.15JK2181）；西京学院科研基金项目（No.XJ160143）。 （）
