Dynamics of a viral infection model with general contact rate between susceptible cells and virus particles (Q1724367)
From MaRDI portal
| This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Dynamics of a viral infection model with general contact rate between susceptible cells and virus particles |
scientific article; zbMATH DE number 7022598
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Dynamics of a viral infection model with general contact rate between susceptible cells and virus particles |
scientific article; zbMATH DE number 7022598 |
Statements
Dynamics of a viral infection model with general contact rate between susceptible cells and virus particles (English)
0 references
14 February 2019
0 references
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.
0 references
viral infection model
0 references
contact rate
0 references
local and global stability
0 references
0 references