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

Table 2

The local stability of the equilibrium points.

Case	The local stability	Parameter region
(i)	Saddle: ; LAS: ; repeller:	, , ,
(ii)	Saddle: ; LAS: ; nonhyperbolic: ; repeller:	, , ,
(iii)	Saddle: ; LAS: ; repeller:	, ,
(iv)	Saddle: ; LAS: ; repeller:	, , or , , ,
(v)	Saddle: ; LAS:	, , ,
(vi)	Saddle: ; LAS: ; repeller: Nonhyperbolic: ;	, , ,
(vii)	Saddle: ; LAS: ; repeller: Nonhyperbolic: ;	, , ,
(viii)	Saddle: ; LAS: ; repeller: Nonhyperbolic:	, , ,
(ix)	Saddle: ; LAS: ; nonhyperbolic:	, , ,
(x)	Saddle: ; LAS: ; nonhyperbolic:	, , ,
(xi)	Saddle: ; LAS: ; nonhyperbolic:	, ,
(xii)	Saddle: ; LAS:	,
(xiii)	Saddle: ; LAS: ; nonhyperbolic:	,
(xiv)	Nonhyperbolic: ,	,
(xv)	Nonhyperbolic:	,
(xvi)	Saddle: ; LAS: ;	,
(xvii)	LAS: ; nonhyperbolic:	,
(xviii)	LAS:	,