期刊
INTERNATIONAL JOURNAL OF BIOMATHEMATICS
卷 13, 期 5, 页码 -出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S1793524520500333
关键词
Time delay; Full logistic proliferation; Global stability; Hopf bifurcation; Stability switches
资金
- National Natural Science Foundation of China [11701445, 11701451, 11702214]
- Natural Science Basic Research Plan in Shaanxi Province of China [2018JQ1057]
- Shaanxi Provincial Education Department [17JK0787]
- Young Talent fund of University Association for Science and Technology in Shaanxi, China [20180504]
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 stabilities 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 parameters. 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.
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