具有细胞内时滞的耦合传染病模型

Abstract

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

CLC Number:

O175

WANG Ying, WANG Lingzhi. Coupled Infectious Disease Model with Intracellular Time Delay[J].Journal of Jilin University Science Edition, 2022, 60(4): 784-792.

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Coupled Infectious Disease Model with Intracellular Time Delay

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