Lyapunov functional for virus infection model with diffusion and state-dependent delays.
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.
['Liang|Jitai|J|', 'Wei|Junjie|J|']
D000465:Algorithms D002470:Cell Survival D003198:Computer Simulation D004058:Diffusion D006801:Humans D008954:Models, Biological D016571:Neural Networks, Computer D017711:Nonlinear Dynamics D013997:Time Factors D014777:Virus Diseases
Lyapunov functional virus infection model state-dependent delays reaction-diffusion differential equation