STABILITY AND HOPF BIFURCATION ANALYSIS OF A PLANT-PEST-NATURAL ENEMY SYSTEM WITH DUAL GESTATION DELAY AS A BIOLOGICAL CONTROL STRATEGY

Abstract

In this study, a food chain system with gestation delay for both pest and the natural enemy is proposed. Here the boundedness of the system is studied. Stability analysis for all possible equilibrium states is carried out. The thresholds for Hopf bifurcation at interior and the natural enemy free equilibrium states are studied and analyzed. The sensitivity analysis is performed to nd the respective sensitive indices of the variables of the proposed system. Further, simulations have been carried out to support our analytic results.