### A delayed virus infection model with latent infection cells

YANG Junxian, YU Shumei

1. School of ScienceAnhui Agricultural UniversityHefei 230036China
• Received:2019-07-17 Online:2020-07-25 Published:2020-07-25

Abstract: A class of delayed virus infection models with latently infected cells are investigated. The basic reproduction number is defined, and the sufficient conditions for the existence of each feasible equilibrium are given. By using Lyapunov functionals and LaSalle's invariance principle, it is proved that when the basic reproduction number is less than or equal to unity, the infection-free equilibrium is globally asymptotically stable; when the basic reproduction number is greater than unity, the chronic-infection equilibrium is globally asymptotically stable, but the infection-free equilibrium is unstable. The results show that the latently infected delay, the intracellular delay, and virus production period in the model do not affect the global stability of the model, and numerical simulations are carried out to illustrate the theoretical results.

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