Global stability of a class of virus dynamics models with general incidence rate and multitarget cells

Autor:	Shafeek A. Ghaleb, Taofeek O. Alade, Saud M. Alsulami
Rok vydání:	2021
Předmět:	Lyapunov function Nonlinear system symbols.namesake Class (set theory) Exponential stability Invariance principle Direct method Dynamics (mechanics) symbols General Physics and Astronomy Applied mathematics Stability (probability) Mathematics
Zdroj:	The European Physical Journal Plus. 136
ISSN:	2190-5444
DOI:	10.1140/epjp/s13360-021-01876-0
Popis:	In this paper, stability dynamics of two viral infection models with antibody immune response are formulated and analyzed. We assume that the virus infects n classes of target cells. The incidence rate is given by a general nonlinear function which satisfies a set of reasonable conditions. The second model takes into account two forms of infected cells, namely latently and actively infected cells. Nonnegativity and boundedness properties of the proposed models are proven. The application of Lyapunov’s direct method and LaSalle’s invariance principle greatly enables us to prove the global asymptotic stability of the steady states of the models. The theoretical results are validated by the establishment of the numerical simulations.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::aa6257523ceb400fe114579f1daa3ace https://doi.org/10.1140/epjp/s13360-021-01876-0 Zobrazit plný text záznamu Full text from SpringerLink