Dynamics Of Apparent Competition Model With Allee Effect

We formulate and study an three-species model consisting of one predator and two prey,of which subject to Allee effect.Our model introduces Allee effect to the classical apparent competition model for the first time,and generates rich,reasonable and realistic dynamics.By means of theoretical analysis and numerical simulation,we verify that when the prey population subject to Allee effect apparent competition will still occur.We confirm that Allee effect may have an impact to the strength of competition,and even change the outcome of the competition.In addition,low initial level will directly lead to the collapse of the system when the two prey population subject to Allee effect at the same time.