Dynamics of a within-host HIV/SARS-CoV-2 co-infection model with two intracellular delays

Youssra Hajri and Saida Amine

Mathematics and Computers in Simulation (MATCOM), 2025, vol. 232, issue C, 160-191

Abstract: This paper presents a delayed within-host model to investigate the intricate dynamics of HIV/SARS-CoV-2 co-infection. The analysis establishes the existence of unique positive and bounded solutions under specified initial conditions. The healthy, the single HIV infection, the single SARS-CoV-2 infection and the HIV/SARS-CoV-2 co-infection steady states, are computed contingent upon threshold parameters RH, RC, and RHC. Through rigorous examination of characteristic equations, the local stability of pivotal steady states-namely, the healthy state and the HIV/SARS-CoV-2 co-infection state is elucidated, alongside the identification of Hopf bifurcations using delays as bifurcation parameters. Intriguingly, theoretical analyses reveal that delays exert no discernible influence on the stability of the healthy state, whereas they may destabilize the HIV/SARS-CoV-2 co-infection state under specific conditions. Moreover, employing appropriate Lyapunov functions confirms the global asymptotic stability of all steady states. Complementary numerical simulations are conducted to augment theoretical insights and delineate the nuanced impact of each time delay, albeit without explicit Hopf bifurcation simulations.

Keywords: Global stability; Hopf bifurcation; Time delay; HIV/SARS-CoV-2; Co-infection; Viral life cycle (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378475424005111
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:232:y:2025:i:c:p:160-191

DOI: 10.1016/j.matcom.2024.12.027

Access Statistics for this article

Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens

More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier
Bibliographic data for series maintained by Catherine Liu ().