Effect of wind and disease on the dynamical behavior of a prey-predator system

Abstract

Considering the significance of prey-predator models in the environment, these models illustrate the relationship between living things and their interactions. In this paper, a prey-predator model was advanced and studied that included the wind flow and disease in prey. This study aims to understand how these factors affect the behavior of species. The solution properties of the proposed model were examined. Also, all potential equilibrium points and their stability were studied. In addition, the persistence conditions that ensure the continued existence of organisms were calculated. The theoretical results were supported by numerical analysis by using the MATLAB program (version R2018b), which also explained how changing parameter values ​​affected the dynamic behavior of the prey-predator model. Our findings suggest that diseases in prey have different effects on the proposed system, which can both stabilize or destabilize it. On the other hand, the wind flow represents a significant abiotic factor in the environment that affects the predation process. It is found that increasing the wind flow causes the extinction of the predator, which means the effect of wind flow acts as a bar to the search for food and decreases the efficiency of predators.