Dynamical behavior of Predator-Prey with Allee Effect on Both Populations and Disease in Predator

TL;DR

This paper models complex predator-prey dynamics incorporating Allee effects and disease, using fuzzy impulsive control to analyze stability and behavior through numerical simulations.

Contribution

It introduces a novel predator-prey model with Allee effects and disease, applying fuzzy impulsive control for stability analysis.

Findings

Model demonstrates stability under certain conditions

Fuzzy impulsive control effectively stabilizes the system

Numerical simulations confirm theoretical results

Abstract

In the current study, we took into account a model of nonlinear ``predator-prey'' interactions including the ``Allee effect'' on both populations and disease in the predator population. The population as a whole is split into three: the prey population, susceptible predator, and diseased predator. The ``Takagi-Sugeno (T-S) impulsive control model'' and the Fuzzy impulsive control model have been used to test the stability of the three-dimensional ``Lotka-Volterra predator-prey system'' model. Following the model's formulation, the global-stability and the fuzzy solution are examined using numerical simulations and graphical displays, together with the necessary consultation, to help comprehend the effectiveness of our suggested model.