The Study of a Predator-Prey Model with Fear Effect Based on State-Dependent Harvesting Strategy

Figure 8

Illustration of the Poincaré maps and of system (4) for and and different values of with parameters given in numerical section. For , system (4) admits a unique orbitally asymptotically stable order-1 periodic solution; for , there is and ; in this case, system (4) admits a stable order-2 periodic solution; (c) for , there is , and system (4) admits a stable order-2 periodic solution.

(a)

(b)

(c)