The Dynamics of Prey–Predator Model With Global Warming on Carrying Capacity and Wind Flow on Predation

Abstract

This work presents the development of a twospecies prey and predator model in the context of global warming. Studies indicate prey’s growth rate and predator anxiety are inversely correlated. Furthermore, evidence supports as global warming increases, prey’s carrying capacity may decline. Predators are thought to be able to work together to pursue prey. Furthermore, current thinking holds that the direction of the wind may affect how much prey the predator consumes. Scholars propose that when global warming increases, predator growth rates may decline. Additionally, experts argue that the intraspecies competition among predators, which is reliant on the density of the current prey, may result in a decline in the number of predators. It is widely accepted that the rate of global warming is constant. Furthermore, the prevailing view is that both predator and prey species may be involved in the rise in global warming. It is commonly understood that several industrial and ecological measures could reduce global warming. The model’s solution’s positivity and boundedness have been examined. Various equilibrium points are assessed, and the system’s stability is examined around these places. The Hopf bifurcation around the positive equilibrium point is investigated. Via numerical simulation and testing on a virtual data set, all theoretical results are experimentally validated.