Global stability of a delayed and diffusive virus model with nonlinear infection function
1School of Science, Xi'an Polytechnic University, Xi'an, People's Republic of China.
Abstract:
This paper studies a delayed viral infection model with diffusion and a general incidence rate. A discrete-time model was derived by applying nonstandard finite difference scheme. The positivity and boundedness of solutions are presented. We established the global stability of equilibria in terms of by applying Lyapunov method. The results showed that if is less than 1, then the infection-free equilibrium is globally asymptotically stable. If is greater than 1, then the infection equilibrium is globally asymptotically stable. Numerical experiments are carried out to illustrate the theoretical results.
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