Optimal control for a fractional order malaria transmission dynamics mathematical model
N. H. Sweilam, Seham M. Al‐Mekhlafi, A. O. Albalawi
Abstract
In this work, optimal control for fractional order model of malaria transmission dynamics with modified parameters is presented. The fractional derivative is defined in the Atangana-Beleanu sense. Two control variables are presented in this model to minimize the number of the population of low-risk infectious humans and high-risk infectious humans. Necessary conditions for the control problem are drived. Two types of nonstandard finite difference method for simulating the proposed optimal system with Mittag-Leffler kernels are presented. In order to validate the theoretical results numerical simulations and comparative studies are given.
Topics & Concepts
Fractional calculusMathematicsApplied mathematicsOptimal controlMathematical optimizationTransmission (telecommunications)Epidemic modelPopulationOrder (exchange)Control theory (sociology)Population modelControl (management)Computer scienceSociologyDemographyFinanceTelecommunicationsEconomicsArtificial intelligenceFractional Differential Equations SolutionsMathematical and Theoretical Epidemiology and Ecology ModelsAdvanced Control Systems Design