Stability and bifurcation analysis for a delayed viral infection model with full logistic proliferation

• 作者: Jinhu Xu Yan Geng
• 来源期刊: 生物数学学报:英文版
• 学科: 数学
• 关键词: Time delay Full logistic proliferation Global stability Hopf bifurcation Stability switches
• 年，卷（期）: 2020,（5）
• 页码范围: 33-62
• 页数: 30页
• 分类号: O17

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.