MATHEMATICAL MODELING OF DYNAMICAL BEHAVIOR OF ONE PREY AND TWO PREDATOR SYSTEM WITH ALEE EFFECT IN THE PREY

Abstract

In this study an effort has been made to identify the reasons how Allee effect in the prey population of dynamical behavior of one prey and two predator system. The general objective of this research is to find out the qualitative properties of Alee effect in the competing predators in a single prey model. The local stability analysis of biologically feasible equilibrium points has been discussed and it is found that the coexistence equilibrium point is locally asymptotically stable under a certain sufficient condition. The stability (local and global stability) of the equilibrium points would be discussed by using linearization techniques. Numerical simulations are carried out to support the analytical results by using Matlab software.