Bifurcation Analysis of a Discrete-Time Two-Species Model

Table 1

Number of equilibria along their qualitative behavior of (8).

E.P	Corresponding behavior
	Sink if ; never source; saddle if ; nonhyperbolic if .
	Sink if ; never source; saddle if ; nonhyperbolic if .
	Locally asymptotically node if
	Unstable node if
	Nonhyperbolic (for real eigenvalues) if
	Locally asymptotically focus if
	Unstable focus if
	Nonhyperbolic (for complex eigenvalues) if