European Journal of Molecular & Clinical Medicine

Abstract

Pest management is a matter of great concern nowadays. To achieve the same, a three tropic level food chain model is proposed considering plant, pest and natural enemies. Two different type of functional responses are taken for mid level and top level predator. Threshold value of the impulsive period is calculated for extinction of mid level predator using Floquet theory of impulsive differential equations, Lyapnuov functions and stroboscopic map. Mid level predator plays the role of pest. Permanence of system is also established. Some complex dynamics is also observed at higher value of impulsive period greater than threshold value. Further, validation of theoretical findings is done using MATLAB. Food chain Impulsive control strategy pest management Permanence mixed functional response