STABILITY ANALYSIS OF TWO PREDATORS-ONE PREY MODEL WITH FEEDBACK CONTROL AND TIME FRACTIONAL DERIVATIVE

Abstract

The interaction between prey and predator is one of the most fundamental processes in ecology. In this paper, we first consider the system incorporating a feedback control and we discuss the dynamic behavior of preypredator interaction model that includes two competitive predators and one prey with a generalized interaction functional. The primary resumption in the model construction is the effects of feedback control and the competition between two predators on the only prey which gives a strong implication of the real-world situation. By analyzing characteristic equations, we carry out detailed discussion with respect to stability of equilibrium points of the considered model. Further, we investigate the impact of the memory measured by fractional time derivative on the temporal behavior.