Discrete Mathematical Modeling of the New Corona Virus: Optimal Control Approach for Intervention Strategies
Driss Kada, Omar Balatif, Mostafa Rachik, El Houssine Labriji
Academic Editor: Youssef EL FOUTAYENI
Received |
Accepted |
Published |
18 January 2020 |
02 February 2020 |
10 March 2020 |
Abstract: We apply discrete time optimal control theory to the mathematical modeling of pest control. Two scenarios: biological control and the combination of pesticide and biological control are considered. The goal is maximizing the “valuable” population, minimizing the pest population and the cost to apply the control strategies. Using the extension of Pontryagin’s maximum principle to discrete system, the adjoint systems and the characterization of the optimal pest controls are derived. Numerical simulations of various cases are provided to show the effectiveness of our methods.
