Dynamical behavior of Predator-Prey with Allee Effect on Both Populations and Disease in Predator (2405.15448v1)

Abstract: In the current study, we took into account a model of nonlinear predator-prey'' interactions including theAllee 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-dimensionalLotka-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.