Optimal control of plant disease model with roguing, replanting, curative, and preventive treatment

Abstract

In this paper, we determine the optimal control of plant disease model with roguing, replanting, curative, and preventive treatment using the Maximum Pontryagin principle. Numerical simulation results show that the procedure can reduce the population of infected plants. Therefore, controlling by roguing, replanting, curative, and preventive treatment is highly recommended to increase the number of susceptible, removed, and protected plants.