Open AccessStability of latent pathogen infection model with adaptive immunity and delays
Author(s) -
A. M. Ełaiw,
N. H. AlShamrani
Publication year - 2018
Publication title -
journal of integrative neuroscience
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.336
H-Index - 33
eISSN - 1757-448X
pISSN - 0219-6352
DOI - 10.3233/jin-180087
Subject(s) - ctl* , immune system , stability (learning theory) , lyapunov function , pathogen , immunity , acquired immune system , control theory (sociology) , cytotoxic t cell , immunology , computer science , biology , physics , artificial intelligence , nonlinear system , genetics , control (management) , quantum mechanics , machine learning , cd8 , in vitro
In this paper we propose and analyze a pathogen dynamics model with antibody and Cytotoxic T Lymphocyte (CTL) immune responses. We incorporate latently infected cells and three distributed time delays into the model. We show that the solutions of the proposed model are nonnegative and ultimately bounded. We derive four threshold parameters which fully determine the existence and stability of the five steady states of the model. Using Lyapunov functionals, we established the global stability of the steady states of the model. The theoretical results are confirmed by numerical simulations.