关键词: 时滞, 稳定性, Lyapunov-LaSalle不变性原理, Hopf分岔

Abstract: 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 R₀≤1 and the existence of Hopf bifurcation of virus infection equilibrium when R₀>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.

Key words: time delay, stability, Lyapunov-LaSalle invariance principle, Hopf bifurcation