The Optimal Control of Rice Tungro Disease with Insecticide and Biological Agent

One of the serious diseases in rice agriculture, tungro, could reduce rice quality and production extremely. Tungro virus transmitted by green leafhoppers which is the most efficient vector for spread. In this paper, we propose a mathematical model of the vector-borne rice tungro disease considering predator-prey interaction between green leafhoppers and frog. Our purpose is to investigate the effect of biological agents in the spread of diseases. We also consider insecticide usage and its effect on the system. Using the theory of the dynamical system, we examine the existence of equilibrium points. Furthermore, an optimal control strategy that suppresses the spread is proposed. We run the numerical simulation to illustrate the analytical result above.