Global dynamics of p-Laplacian reaction-diffusion equations with application to virology

Abstract

In this paper, we propose a method to investigate the global stability of reaction-diffusion equations involving the p-Laplacian operator with and without delay. The proposed method is based on the direct Lyapunov method which consists to construct an appropriate Lyapunov functional. Furthermore, the method is applied to two biological systems from virology one without delay and the other with both delays in the infection and viral production.