Počet záznamů: 1
Accounting for multi-delay effects in an HIV-1 infection model with saturated infection rate, recovery and proliferation of host cells
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SYSNO ASEP 0537704 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve SCOPUS Název Accounting for multi-delay effects in an HIV-1 infection model with saturated infection rate, recovery and proliferation of host cells Tvůrce(i) Adak, D. (IN)
Bairagi, N. (IN)
Hakl, Robert (MU-W) RID, SAI, ORCIDČíslo článku 2012297 Zdroj.dok. Biomath - ISSN 1314-684X
Roč. 9, č. 2 (2020)Poč.str. 20 s. Jazyk dok. eng - angličtina Země vyd. BG - Bulharsko Klíč. slova HIV model ; saturated incidence ; self-proliferation ; recovery Vědní obor RIV BA - Obecná matematika Obor OECD Applied mathematics Způsob publikování Open access Institucionální podpora MU-W - RVO:67985840 EID SCOPUS 85099551710 DOI 10.11145/j.biomath.2020.12.297 Anotace Biological models inherently contain delay. Mathematical analysis of a delay-induced model is, however, more difficult compare to its non-delayed counterpart. Difficulties multiply if the model contains multiple delays. In this paper, we analyze a realistic HIV-1 infection model in the presence and absence of multiple delays. We consider self-proliferation of CD4+T cells, nonlinear saturated infection rate and recovery of infected cells due to incomplete reverse transcription in a basic HIV-1 in-host model and incorporate multiple delays to account for successful viral entry and subsequent virus reproduction from the infected cell. Both of delayed and non-delayed system becomes disease-free if the basic reproduction number is less than unity. In the absence of delays, the infected equilibrium is shown to be locally asymptotically stable under some parametric space and unstable otherwise. The system may show unstable oscillatory behaviour in the presence of either delay even when the non-delayed system is stable. The second delay further enhances the instability of the endemic equilibrium which is otherwise stable in the presence of a single delay. Numerical results are shown to be in agreement with the analytical results and reflect quite realistic dynamics observed in HIV-1 infected individuals. Pracoviště Matematický ústav Kontakt Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Rok sběru 2021 Elektronická adresa http://dx.doi.org/10.11145/j.biomath.2020.12.297
Počet záznamů: 1