The Focal Value Formula Of The Three-dimensional Competitive Leslie-gower System And The Existence Of Multiple Limit Cycles

This paper uses the center manifold approximation to give the first-order focal value formula of the three-dimensional competitive Leslie-Gower system.By the Hopf bifurcation theorem and the Poincaré-Bendixson theorem,it is proved that Jiang-Niu's 27-28 th classes of the three-dimensional competitive Leslie-Gower system admit at least two limit cycles.