Mathematical Modeling of the Biological Pest Control of Rice Stem Borer using Logistic Model and its Equilibrium Points

P. Sujatha, Dr. S. Udayakumar

Abstract: Many agricultural problems have important ecological dimensions. Diseases, pests and epidemics are often treated more ?ecologically? it implies more ?holistically? and less mechanistically. The models are Ecological models often use more ?holistic? concepts. The differential equations and difference equations are considered. In this model can be age- Structured logistical model is presented. A simple mathematical model of interaction between rice stems borer (Scirpophaga Incertulas) and its egg parasitoid Trichogramma Japanicam. In this model the rice stem borer is represented by egg and larval stages. The parasitoid is considered in terms of parasitized eggs. Linear feedback control strategy is proposed to indicate how many natural enemies introduced into the environment. Using this control strategy directs the system to the stable equilibrium point.

Keywords: Mathematical model, rice stems borer, Trichogramma Japanicam, equilibrium point