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Different strategies to confront maize streak disease based on fractional optimal control formulation

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dc.contributor.author Ameen, Ismail Gad
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Ali, Hegagi Mohamed
dc.date.accessioned 2024-03-06T12:22:21Z
dc.date.available 2024-03-06T12:22:21Z
dc.date.issued 2022-11
dc.identifier.citation Ameen, Ismail Gad; Baleanu, Dumitru; Ali, Hegagi Mohamed. (2022). "Different strategies to confront maize streak disease based on fractional optimal control formulation", Chaos Solitons & Fractals, Vol.164. tr_TR
dc.identifier.issn 0960-0779
dc.identifier.uri http://hdl.handle.net/20.500.12416/7497
dc.description.abstract In this paper, we propose a general formulation for the transmission dynamics of maize streak virus (MSV) pathogen interaction with a pest invasion in the maize plant. The mathematical formalism for this model is dependent on Caputo fractional operator with modification of its parameters. In the considered model, the total population of maize plants is divided into two classes: susceptible, infected maize and the total population of leafhopper vector contains two compartments: susceptible, infected leafhopper vector, with a compartment for MSV pathogen. In addition, this fractional-order model (FOM) is involving the proportion of three controls u1, u2 and u3 which namely respectively prevention, quarantine and chemical control. We present the positivity and boundedness of the projected solutions to assure the feasibility of solutions of this FOM. The control reproduction number (Rc) is derived by next generation matrix (NGM) method and showed graphically the effect of the controls for each proposed strategy on the behavior of Rc. The local stability analysis for all possible equilibrium points (EPs) has been examined in detail. Moreover, the fractional optimal control problem (FOCP) is characterized and fractional necessary optimality conditions (NOCs) are derived by using Pontryagin's maximum principle (PMP). These NOCs are solved numerically, where the state and co -state equations based on the left Caputo fractional derivative (CFD). We offer four strategies to illustrate the effects of the proposed controls to investigate the preferable strategy for the elimination of maize streak disease (MSD), as each one of these strategies is able to alleviate this disease at a specific time. Finally, simulations are performed utilizing MATLAB with realistic ecological parameter values to demonstrate the obtained theoretical results. Comparative studies illustrated that infection of maize plants can be reduced through the proposed model, which has a significant impact on plant epidemiology. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1016/j.chaos.2022.112699 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Eco-Epidemiology tr_TR
dc.subject MSV Pathogen tr_TR
dc.subject Mathematical Modeling tr_TR
dc.subject Stability Theory tr_TR
dc.subject Fractional Optimal Control Problems tr_TR
dc.subject Numerical Simulations tr_TR
dc.title Different strategies to confront maize streak disease based on fractional optimal control formulation tr_TR
dc.type article tr_TR
dc.relation.journal Chaos Solitons & Fractals tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 164 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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