A class of virus dynamics model with intracellular delay and nonlinear infection rate of Beddington-DeAngelis functional response is analysed in this paper. By constructing suitable Lyapunov functionals and using LaSalle-type theorem for delay differential equations, we show that the global stabilit
Stability of the virus dynamics model with Beddington–DeAngelis functional response and delays
✍ Scribed by Xiang, Hong; Feng, Li-Xiang; Huo, Hai-Feng
- Book ID
- 120412003
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 648 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0307-904X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
This paper investigates the global stability of virus dynamics model with Beddington-DeAngelis infection rate. By constructing Lyapunov functions, the global properties have been analysed. If the basic reproductive ratio of the virus is less than or equal to one, the uninfected steady state is globa
A three species food chain model with the Beddington-DeAngelis functional response is analyzed. By choosing the delay τ as a bifurcation parameter, it is shown that Hopf bifurcation occurs as the delay τ passes through a sequence of critical values. Numerical simulations are presented for supporting
The dynamics of predator-prey models with the Beddington-DeAngelis functional response are analyzed, primarily from the viewpoint of permanence (uniform persistence). The Beddington-DeAngelis functional response is similar to the Holling type 2 functional response but contains an extra term describi