Open AccessGlobal dynamics of a delay virus
model with recruitment and saturation effects of immune responses
Author(s) -
Cuicui Jiang,
Kaifa Wang,
Lijuan Song
Publication year - 2017
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.2017063
Subject(s) - immune system , basic reproduction number , virus , control theory (sociology) , saturation (graph theory) , dynamics (music) , stability (learning theory) , biology , virology , mathematics , immunology , physics , computer science , medicine , population , control (management) , environmental health , combinatorics , artificial intelligence , machine learning , acoustics
In this paper, we formulate a virus dynamics model with the recruitment of immune responses, saturation effects and an intracellular time delay. With the help of uniform persistence theory and Lyapunov method, we show that the global stability of the model is totally determined by the basic reproductive number R0. Furthermore, we analyze the effects of the recruitment of immune responses on virus infection by numerical simulation. The results show ignoring the recruitment of immune responses will result in overestimation of the basic reproductive number and the severity of viral infection.