Fractional optimal control in transmission dynamics of West Nile virus model with state and control time delay: a numerical approach

Autor:	N. H. Sweilam, O. M. Saad, D. G. Mohamed
Jazyk:	angličtina
Rok vydání:	2019
Předmět:	West Nile virus mathematical model Delay differential equations Nonstandard finite difference method Grünwald–Letnikov’s definition Fractional optimal control problem Mathematics QA1-939
Zdroj:	Advances in Difference Equations, Vol 2019, Iss 1, Pp 1-25 (2019)
Druh dokumentu:	article
ISSN:	1687-1847
DOI:	10.1186/s13662-019-2147-8
Popis:	Abstract In this paper, an optimal control for a novel fractional West Nile virus model with time delay is presented. The proposed model is governed by a system of fractional delay differential equations, where the fractional derivative is defined in the Grünwald–Letnikov sense. Stability analysis of fixed points is studied. Corresponding fractional optimal control problem, with time delays in both state and control variables, is formulated and studied. Two simple numerical methods are used to study the nonlinear fractional delay optimal control problem. The methods are standard finite difference method and nonstandard finite difference method. Comparative studies are implemented, it is found that the nonstandard finite difference method is better than the standard finite difference method.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/76d2a500770b44a68ce063080c554bdf Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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