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.