Title :
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
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;
Conference_Titel :
Information and Computing (ICIC), 2011 Fourth International Conference on
Conference_Location :
Phuket Island
Print_ISBN :
978-1-61284-688-0
DOI :
10.1109/ICIC.2011.127
