The Computer Simulation and Stability of a Virus Infection Model with Nonlinear Immune Response

Author

Cheng, Nannan ; Yang, Yang

Author_Institution

Comput. & Network Adm. Center, North China Univ. of Technol., Beijing, China

fYear

2011

fDate

25-27 April 2011

Firstpage

404

Lastpage

407

Abstract

In this paper, a virus infection dynamics model with nonlinear immune response is studied. By analyzing the corresponding characteristic equation, the local stability of each of feasible equilibri of the model is discussed. By constructing appropriate Lyapunov functional, the global stability of the infection-free equilibrium and the immune-free infection equilibrium and virus infection equilibrium are proved. Numerical simulations are carried out to illustrate the theoretical results.

Keywords

Lyapunov methods; biology computing; microorganisms; stability; Lyapunov functional; computer simulation; global stability; immune-free infection equilibrium; infection-free equilibrium; local stability; nonlinear immune response; virus infection dynamics model; virus infection equilibrium; virus infection model; Analytical models; Biological system modeling; Equations; Immune system; Mathematical model; Numerical stability; Stability analysis; Computer Simulation; Lyapunov functional; Stability; Virus infection model. Nonlinear immune response;

fLanguage

English

Publisher

ieee

Conference_Titel

Information and Computing (ICIC), 2011 Fourth International Conference on

Conference_Location

Phuket Island

Print_ISBN

978-1-61284-688-0

Type

conf

DOI

10.1109/ICIC.2011.127

Filename

5954590