Bifurcation and Global Dynamics of a Leslie-Gower Type Competitive System of Rational Difference Equations with Quadratic Terms

Table 1

The criteria for the existence of the equilibrium points.

Case	Equilibria	Region	The criteria for the existence
(i)			, , ,
(ii)			, , ,
(iii)			, ,
(iv)			, , or; , , ,
(v)			, , ,
(vi)			, , ,
(vii)			, , ,
(viii)			, , ,
(ix)			, , ,
(x)			, , ,
(xi)			, ,
(xii)			,
(xiii)			,
(xiv)			,
(xv)			,
(xvi)			,
(xvii)			,
(xviii)			,