Dynamics of a viral infection model with general contact rate between susceptible cells and virus particles. (English) Zbl 1406.92565

Dai, Chenxi; Ma, Cui; Song, Lijuan; Wang, Kaifa

Abstr. Appl. Anal. 2014, Article ID 546795, 5 p. (2014).

Summary: This paper investigates the dynamic behavior of a viral infection model with general contact rate between susceptible host cells and free virus particles. If the basic reproduction number of the virus is less than unity, by LaSalle’s invariance principle, the disease-free equilibrium is globally asymptotically stable. If the basic reproduction number of the virus is greater than unity, then the virus persists in the host and the endemic equilibrium is locally asymptotically stable.

MSC:

92D30

Epidemiology

Keywords:

viral infection model; contact rate; local and global stability

References:

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