Dinamika Model Predator Hama Wereng Batang Cokelat (Nilaparvata Lugens) Pada Tanaman Padi Dengan Penerapan Pestisida

Abstract

Abstract. In this paper, the mathematical model we discuss the interactions among pests, predators, and effect of pesticides. Interactions between predators and pests use functional responses of Holling type I and type II and the growth of susceptible pests classes satisfied the logistic function. By this model, the existence and stability of the equilibrium point were performed. The existence of the equilibrium point, and were obtained which depend on the threshold parameter, while the equilibrium point did not depend on the parameter. The analysis of equilibrium point stability by this model discussed only on the local stability. To facilitate interpretation of the dynamics between predators, pests and the effects of pesticides, numerical simulations perform indicated by the changes in two parameters bifurcation analysis.

 Keywords: Pest predator model, stability, numerical simulation, bifurcation