Mathematical modelling of multiple target cells with delay
| Autor: | Emile Franc Doungmo Goufo, Kofi Frank. Owusu |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Lyapunov function
Reproduction number viruses 020209 energy Cell model General Engineering 02 engineering and technology Biology Engineering (General). Civil engineering (General) Multiple target 01 natural sciences Virus Intracellular delay Disease free equilibrium 010305 fluids & plasmas Cell biology Chronic infection Viral entry 0103 physical sciences 0202 electrical engineering electronic engineering information engineering Long term behavior Macrophage TA1-2040 Multiple target cell Basic reproduction number |
| Zdroj: | Alexandria Engineering Journal, Vol 59, Iss 6, Pp 4985-4995 (2020) |
| ISSN: | 1110-0168 |
| DOI: | 10.1016/j.aej.2020.09.017 |
| Popis: | Target cells contagion has sparked the necessity of a multiple target cell model with chronic infection and intracellular delay (MTC-CI-ID). This paper seeks to advance a viral dynamical model with multiple target cells and corroborate the global stability of their steady states. Hence, the affiliation of the virus with two classes of target cells, CD4 + Tcells and macrophage. The time delay amidst viral entry and the output of virions were intimated and the basic reproductive number was procured, as the long term behavior of the model and less than unity. The contagious free equilibrium E 0 was unveiled as locally and globally asymptotically stable. The conditions of an infected CD4 + Tcell and macrophage on viral production were engaged. It was ascertained that CD4 + Tcell accounts for larger amounts of virions in the blood as per macrophage cells. Hence, varying time delay has no impact on peak viral levels, but only shelves the viral peaking time. The adopted model has unrestrained bearing on HIV-1 therapy. |
| Databáze: | OpenAIRE |
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