Border Collision Bifurcations in a Generalized Model of Population Dynamics

Figure 4

(a) . Before the flip bifurcation at , (white point) is locally stable and it coexists with a stable 2-period cycle (black points): their basins are depicted in green and orange, respectively. (b) . Immediately before the flip bifurcation the two coexisting attractors are depicted together with their own basins. (c) . A generic trajectory may converge to the extinction equilibrium or to . The stable set of is depicted in blue while the basin of attraction of is depicted in orange.

(a)

(b)

(c)