STABILITY ANALYSIS OF A NOVEL ODE MODEL FOR HIV INFECTION

Autor:	Hung Dang Nguyen, Hoang Ngo, Mehmet Dik
Rok vydání:	2021
Předmět:	Matematik HIV globally asymptotical stability periodic solution Ode Stability (learning theory) Human immunodeficiency virus (HIV) medicine Applied mathematics General Medicine medicine.disease_cause Mathematics
Zdroj:	Volume: 3, Issue: 1 30-51 Maltepe Journal of Mathematics
ISSN:	2667-7660
DOI:	10.47087/mjm.911431
Popis:	In this paper, we propose and investigate the stability of a novel 3-compartment ordinary differential equation (ODE) model of HIV infection of CD4+ T-cells with a mass action term. Similar to various endemic models, the dynamics within the model is fully determined by the basic reproduction term R0. If R0 < 1, the disease-free (zero) equilibrium will be asymptotically stable. On the other hand, if R0 > 1, there exists a positive equilibrium that is globally/orbitally asymptotically stable under certain conditions within the interior of a predefined region. Finally, numerical simulations are conducted to illustrate and verify the results.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::55ba705301fe4b91a41b0e203868998b https://doi.org/10.47087/mjm.911431 Zobrazit plný text záznamu