Global stability of delayed viral infection models with nonlinear antibody and CTL immune responses and general incidence rate
type: Item
instance of: scholarly article
title: Global stability of delayed viral infection models with nonlinear antibody and CTL immune responses and general incidence rate
zbMATH Open document ID: 1368.92103
DOI: 10.1155/2016/3903726
author: Hui Miao
author: Zhiming Li
author: Zhidong Teng
published in: Computational \& Mathematical Methods in Medicine
publication date: 2017-08-10T00:00:00Z
review text: Summary: The dynamical behaviors for a five-dimensional viral infection model with three delays which describes the interactions of antibody, cytotoxic T-lymphocyte (CTL) immune responses, and nonlinear incidence rate are investigated. The threshold values for viral infection, antibody response, CTL immune response, CTL immune competition, and antibody competition, respectively, are established. Under certain assumptions, the threshold value conditions on the global stability of the infection-free, immune-free, antibody response, CTL immune response, and interior equilibria are proved by using the Lyapunov functionals method, respectively. Immune delay as a bifurcation parameter is further investigated. The numerical simulations are performed in order to illustrate the dynamical behavior of the model.
Mathematics Subject Classification ID: 92C60
Mathematics Subject Classification ID: 92D30
zbMATH DE Number: 6759161
zbMATH Keywords: cytotoxic T-lymphocyte
zbMATH Keywords: CTL immune response
zbMATH Keywords: viral infection
zbMATH Keywords: antibody competition
Wikidata QID: Q37543488
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/3903726
OpenAlex ID: W2562384428
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description: scientific article; zbMATH DE number 6759161