具有细胞内时滞的耦合传染病模型

Coupled Infectious Disease Model with Intracellular Time Delay

考虑一类具有Logistic增长的时滞耦合模型.首先,利用特征方程和Lyapunov-LaSalle不变性原理,证明当R_(0)≤1时,无感染平衡点的全局渐近稳定性;当R_(0)>1时,病毒感染平衡点Hopf分岔的存在性.其次,得到了Logistic增长与时滞会影响系统稳定性的结果.最后通过数值模拟验证理论结果的正确性.

We considered a class of time delay coupled models with logistic growth.Firstly,by using the characteristic equation and Lyapunov-LaSalle invariance principle,we proved the global asymptotic stability of the infection free equilibrium when R_(0)≤1 and the existence of Hopf bifurcation of virus infection equilibrium when R_(0)>1.Secondly,we obtained the results that the logistic growth and time delay affect the stability of the system.Finally,the correctness of the theoretical results was verified by numerical simulations.