Multiple Bifurcations and Chaos in a Discrete Prey-Predator System with Generalized Holling III Functional Response

Figure 1

(a) The bifurcation diagram of system (4) with varying in . The system undergoes a Neimark-Sacker bifurcation when (denoted by red point). (b) A stable fixed point exists when which occurs before the bifurcation. (c) An invariant closed curve around the fixed point created after the bifurcation which exists for . (d) A chaotic attractor occurs when .

(a)

(b)

(c)

(d)