Global stability for a viral infection model with saturated incidence rate (Q1722307)
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: Global stability for a viral infection model with saturated incidence rate |
scientific article; zbMATH DE number 7021899
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global stability for a viral infection model with saturated incidence rate |
scientific article; zbMATH DE number 7021899 |
Statements
Global stability for a viral infection model with saturated incidence rate (English)
0 references
14 February 2019
0 references
Summary: A viral infection model with saturated incidence rate and viral infection with delay is derived and analyzed; the incidence rate is assumed to be a specific nonlinear form \(\beta x v /(1 + \alpha v)\). The existence and uniqueness of equilibrium are proved. The basic reproductive number \(R_0\) is given. The model is divided into two cases: with or without delay. In each case, by constructing Lyapunov functionals, necessary and sufficient conditions are given to ensure the global stability of the models.
0 references
viral infection model
0 references
saturated incidence rate
0 references
global stability
0 references
0 references
