Open AccessGlobal stability of a multiple delayed viral infection model with general incidence rate and an application to HIV infection
Author(s) -
Yu Ji
Publication year - 2015
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.2015.12.525
Subject(s) - viral infection , human immunodeficiency virus (hiv) , invariance principle , stability (learning theory) , incidence (geometry) , epidemic model , lyapunov function , mathematics , infection rate , stability theory , control theory (sociology) , virology , computer science , control (management) , medicine , physics , virus , artificial intelligence , nonlinear system , population , philosophy , linguistics , geometry , environmental health , surgery , machine learning , quantum mechanics
In this paper, the dynamical behavior of a viral infection model with general incidence rate and two time delays is studied. By using the Lyapunov functional and LaSalle invariance principle, the global stabilities of the infection-free equilibrium and the endemic equilibrium are obtained. We obtain a threshold of the global stability for the uninfected equilibrium, which means the disease will be under control eventually. These results can be applied to a variety of viral infections of disease that would make it possible to devise optimal treatment strategies. Numerical simulations with application to HIV infection are given to verify the analytical results.