A mathematical model to control mosaic disease of Jatropha curcas with insecticide and nutrition intervention

Increasing the need for alternative fuel sources is triggered by the increasing demand for global energy. Biofuel is a renewable alternative energy that could be produced by a plant; one example is Jatropha curcas. The main obstacle in the growth of Jatropha curcas that this plant is susceptible to mosaic disease caused by whitefly vectors. Various strategies develop to overcome this plant disease. However, the success of this strategy strongly influenced by the level of awareness and prevention programs carried out by farmers and other parties concerned. This paper will focus on mathematical models for controlling the Jatropha curcas mosaic disease with insecticide and nutritional intervention. Mathematical models that involve interventions that also depend on the level of population awareness will be analyzed. Based on the analytical studies carried out, we obtain two equilibrium points: disease-free equilibrium and endemic equilibrium. Autonomous simulation results show that the higher the infection rate among the whitefly vector, the increased number of infected whiteflies. The amount of insecticide can also affect the population of whitefly ticks.