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

Jitai Liang | Zendy; Junjie Wei | Zendy

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

Author(s) -

Jitai Liang,

Junjie Wei

Publication year - 2019

Publication title -

mathematical biosciences and engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.451

H-Index - 45

eISSN - 1551-0018

pISSN - 1547-1063

DOI - 10.3934/mbe.2019044

Subject(s) - nonlinear system , control theory (sociology) , lyapunov function , metric (unit) , diffusion , stability (learning theory) , state space , mathematics , statistical physics , computer science , physics , engineering , artificial intelligence , statistics , operations management , control (management) , quantum mechanics , machine learning , thermodynamics

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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