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Optimal control of double delayed HIV-1 infection model of fighting a virus with another virus | ||
| Computational Methods for Differential Equations | ||
| مقاله 17، دوره 9، شماره 3، مهر 2021، صفحه 874-885 اصل مقاله (464.47 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2020.31728.1482 | ||
| نویسندگان | ||
| Nigar Ali* ؛ Gul Zaman | ||
| Department of Mathematics, University of Malakand, Chakdara Dir (Lower) Khyber Pakhtunkhawa, Pakistan. | ||
| چکیده | ||
| A double delayed- HIV-1 infection model with optimal controls is taken into account. The proposed model consists of double-time delays and the following five compartments: uninfected cells CD4+ T cells, infected CD4+ T cells, double infected CD4+ T cells, human immunodeficiency virus, and recombinant virus. Further, the optimal controls functions are introduced into the model. Objective functional is constituted which aims to (i) minimize the infected cells quantity; (ii) minimize free virus particles number; and (iii) maximize healthy cells density in blood Then, the existence and uniqueness results for the optimal control pair are established. The optimality system is derived and then solved numerically using an iterative method with Runge-Kutta fourth-order scheme. | ||
| کلیدواژهها | ||
| HIV-1 model؛ Intracellular delay؛ Recombinant virus؛ Optimal control؛ Pontryagin Maximum Principle | ||
| مراجع | ||
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