ANALYSIS OF ECOLOGICAL MODEL WITH DIFFUSION REACTION AND HOLLING TYPE FUNCTIONAL RESPONSE

Abstract

The paper presents a comprehensive study of the complex dynamics of plant-Herbivores animal-carnivore model. This study established the behavior; dynamics of the 3-participating species along with the Holling Type-II & Type-IV functional responses. The local, global stability and Hopf-bifurction analysis of the system are discussed. Further, we incorporated diffusion in to the P-H-C model and evaluated it’s stability and then derived the effect of diffusion and instability conditions and also discussed the global stability of diffusion version of the model system. The study has presented numerical illustrations to scientifically support the findings of the analysis.