The effect of insecticide in tungro disease transmission model with vegetative and generative phase

Abstract

Tungro disease is one of the obstacles in rice cultivation that affects the achievement of sustainable development goals (SDGs), so it is necessary to control it to minimize losses due to decreased yields. The application of pesticides and natural enemies are techniques that can prevent this disease. To understand the population dynamics of the spread of Tungro disease in rice, modeling was carried out by considering two growth phases (vegetative and generative phases). From the model made, analysis is carried out in the form of dynamic analysis, optimal control, sensitivity, and numerical simulation to illustrate it. The results show that the rice population (both vegetative and generative) and infected green leafhoppers will decrease more quickly due to control by giving insecticides and predators.