Analysis and optimal control of a fractional MSD model
| Autor: | M. Bagherpoorfard, F. Akhavan Ghassabzade |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Iranian Journal of Numerical Analysis and Optimization, Vol 13, Iss 3, Pp 481-499 (2023) |
| Druh dokumentu: | article |
| ISSN: | 2423-6977 2423-6969 |
| DOI: | 10.22067/ijnao.2023.79093.1189 |
| Popis: | In this research, we aim to analyze a mathematical model of Maize streak virus disease as a problem of fractional optimal control. For dynamical analysis, the boundedness and uniqueness of solutions have been investi-gated and proven. Also, the basic reproduction number is obtained, and local stability conditions are given for the equilibrium points of the model. Then, an optimal control strategy is proposed for the purpose of examining the best strategy to fight the maize streak disease. We solve the fractional optimal control problem by a forward-backward sweep iterative algorithm. In this algorithm, the state variable is obtained in a forward and co-state variable by a backward method where an explicit Runge-Kutta method is used to solve differential equations arising from fractional optimal control problems. Some comparative results are presented in order to verify the model and show the efficacy of the fractional optimal control treatments. |
| Databáze: | Directory of Open Access Journals |
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