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

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.