The Stability Analysis on a Predator-Prey Model with Allee Effect

This paper mainly focuses on the stability of predatorprey model, in which Allee effect is exerted on preys, people's capture of predators and preys in the system, and the demonstration of positive equilibrium point's existence and stability with the help of Routh-Hurwitz stability discriminance. Combining with numerical modeling, the stability of each population's evolutionary process is also analyzed through choosing Allee effect coefficient and capture coefficient as key parameters, which proves that the two coefficients plays a distinct influence on the change of condition of the system. This paper has particular enlightening significance to the analysis of any condition.