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《College Mathematics》 2018-01
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Dynamics of the Leslie-Gower Predator-Prey Model with the Multiplicative Allee Effect

LEI Xiao-xue;Department of Mathematics,Hefei University of Technology;  
The multiplicative Allee effect is introduced in the Leslie-Gower predator-prey model and the properties of the model are analyzed.First,we study the positive invariant set and the uniformly boundedness of the solution.Second,the existence and stability of equilibria are studied and the sufficient conditions for the global asymptotic stability of the interior equilibria are established using the Liapunov function.Third,we investigate the Hopf bifurcation and the limit cycle emerging through Hopf bifurcation by the Hopf bifurcation theorem.
【CateGory Index】: O175
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