一类具有时滞的生态流行病模型的稳定性与Hopf分支  

Stability and Hopf Bifurcation of an Eco-Epidemiological Model with Delay

作　　者：白宏芳 BAI Hong-fang(Department of Mathematics,College of Medical Information Engineering,Guangdong Pharmaceutical University,Guangzhou 510006,China)

机构地区：[1]Department of Mathematics,College of Medical Information Engineering,Guangdong Pharmaceutical University,Guangzhou 510006,China

出　　处：《Chinese Quarterly Journal of Mathematics》2023年第2期157-183,共27页数学季刊（英文版）

摘　　要：In this paper,an eco-epidemiological model with time delay is studied.The local stability of the four equilibria,the existence of stability switches about the predationfree equilibrium and the coexistence equilibrium are discussed.It is found that Hopf bifurcations occur when the delay passes through some critical values.Formulae are obtained to determine the direction of bifurcations and the stability of bifurcating periodic solutions by using the normal form theory and center manifold theorem.Some numerical simulations are carried out to illustrate the theoretical results.

关 键 词：Eco-epidemiological model DELAY STABILITY Hopf bifurcation 

分 类 号：O175.13[理学—数学]