摘要
In this paper,we study a delayed viral infection model with cellular infection and full logistic proliferations for both healthy and infected cells.The global asymptotic stabil-ities of the equilibria are studied by constructing Lyapunov functionals.Moreover,we investigated the existence of Hopf bifurcation at the infected equilibrium by regarding the possible combination of the two delays as bifurcation pararmeters.The results show that time delays may destabilize the infected equilibrium and lead to Hopf bifurcation.Finally,numerical simulations are carried out to illustrate the main results and explore the dynamics including Hopf bifurcation and stability switches.
基金
This work was supported by the National Natural Science Foundation of China(#11701445,#11701451 and#11702214)
by Natural Science Basic Research Plan in Shaanxi Province of China(2018JQ1057)
Scientific Research Program Founded by Shanxi Provincial Education Department(17JK0787)
by Young Talent fund of University Association for Science and Technology in Shanxi,China(20180504).
