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Lyapunov functional for virus infection model with diffusion and state-dependent delays

Jitai Liang Junjie Wei

*Corresponding author: Junjie Wei weijj@hit.edu.cn

MBE2019,2,947doi:10.3934/mbe.2019044

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.

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