Lyapunov functional for virus infection model with diffusion and state-dependent delays.
Journal:
Mathematical biosciences and engineering : MBE
Published Date:
Jan 29, 2019
Abstract
In this paper, a virus dynamics model with diffusion, state-dependent delays and a general nonlinear functional response is investigated. At first, the dynamical system is constructed on a nonlinear metric space. Then the stability of the interior equilibrium is established by using a novel Lyapunov functional. Further, the proposed algorithm has been extended to the model with logistic growth rate.