摘要
研究了一类具有时滞的SIR传染病模型,确定了模型的基本再生数R0,并利用线性化、特征理论和LaSalle不变原理分析了模型无病平衡点和地方病平衡点的稳定性.以时滞为参数,得到了在地方病平衡点处Hopf分支存在的条件.
The SIR epidemic model with time delay was studied and the basic reproductive number R0 of the model was obtained. By using the linearization,characteristic theory and La Salle invariant principle,the stability of the disease-free equilibrium and the endemic equilibrium was analyzed. Taking time delay as a parameter,the existence condition of Hopf bifurcation at the endemic equilibrium was obtained.
作者
王增鑫
王琳琳
樊永红
WANG Zengxin, WANG Linlin, FAN Yonghong(School of Mathematics and Statistics Science, Ludong University, Yantai 264039, China)
出处
《鲁东大学学报（自然科学版）》
2018年第3期193-198,共6页
Journal of Ludong University:Natural Science Edition
基金
国家自然科学基金(11201213)
山东省自然科学基金(ZR2015AM026)
山东省高校科技发展计划(J15LI07)
