Bifurcation Behavior Analysis in a Predator-Prey Model

Figure 1

Bifurcation diagram of model (4a) and (4b) in plane constructed for , , , (a), and (b, c). Red perpendicular dashed lines represent the critical value for different bifurcation occurrence. Three horizontal lines stand for three boundary equilibria: (golden), (gray), and (black). Two interior equilibria and are presented by blue and green curves, respectively. The solid lines indicate equilibrium in stable state and dotted line indicates unstable state, where, according to the stability theorem, these results are calculated and drawn based on Maple 14 platform.

(a)

(b)

(c)