CAN GLOBAL WARMING CHANGE PREDATOR–PREY DYNAMICS: A MODELLING STUDY

Abstract

In this paper, a two-species predator–prey interaction model has been developed. It is assumed that prey grows logistically in the absence of global warming and predator species. The harvesting of predator has been considered to study the model. It is considered that global warming in the environment increased gradually due to different natural processes and human activities. Also, it is considered that global warming may decrease due to increase of prey. Again, it is assumed that global warming may decrease due to natural decay rate. Different equilibrium points are determined and the stability of the model has been investigated around these equilibrium points. Existence condition of Hopf bifurcation has been studied with respect to the growth rate of prey [Formula: see text]. It is observed that the increase of intrinsic growth rate prey may stabilize the model. It is also observed that the increase of consumption rate of prey in the presence of global warming may show some interesting dynamics. It is found that the harvesting rate decreases due to the increase of global warming.