Open AccessLyapunov functional for virus infection model with diffusion and state-dependent delays
Author(s) -
JunHong 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.