Global stability for a viral infection model with saturated incidence rate
type: Item
instance of: scholarly article
title: Global stability for a viral infection model with saturated incidence rate
zbMATH Open document ID: 1406.92607
DOI: 10.1155/2014/187897
author: Huaqin Peng
author: Zhiming Guo
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 34D23
zbMATH DE Number: 7021899
zbMATH Keywords: viral infection model
zbMATH Keywords: saturated incidence rate
zbMATH Keywords: global stability
Wikidata QID: Q58005296
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/187897
OpenAlex ID: W2005174362
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description: scientific article; zbMATH DE number 7021899