Population dynamic study of interaction between two predators and one prey

Abstract

In the present study, we develop a set of ordinary differential equations that simulate the interactions of an ecological system with two predators and one prey. Here, we have investigated the interaction dynamics between one prey and two predators. The three-dimensional Lotka-Volterra prey-predator system's stability has been investigated using the Takagi-Sugeno (T-S) impulse control model and the fuzzy impulse control model. After the model is created, numerical simulations are used to determine the model’s global stability and fuzzy solution. Graphical representations are provided together with suitable explanations to understand the workings of our proposed model.