Paper
Global Stability of in-host Viral Model with Humoral Immunity and Beddington-DeAngelis Functional Response
- Authors:
- Yanyan Yang; Hui Wang; Zhixing Hu; Fucheng Liao
- Abstract
- In this paper, we have considered an in-host viral model with humoral immunity and Beddington-DeAngelis functional response. For this model, we constructed suitable Lyapunov functional and used LaSalle invariance, we obtained the global stability of three equilibriums which depend on two threshold parameters R0 and R1, that is, if R0≤1, the infected-free equilibrium E0 is globally asymptotically stable; if R1≤1＜R0, the infected equilibrium without B cells response E1* is globally asymptotically stable; and if R1＞1 , the infected equilibrium with B cells response E2* is globally asymptotically stable, too. Finally, numerical simulations are carried out to support our main results.
- Keywords
- Global Stability; Delay; Humoral Immunity; Lyapunov Functional
- StartPage
- 200
- EndPage
- 209
- Doi
- 10.5963/LSMR0305003