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

Figure 4

Illustration of the Poincaré map of system (4) for and different harvest level with parameters given in numerical section: (a) ; (b) ; (c) . The dotted line represents and the intersection point is the fixed point of the Poincaré map . For and , the Poincaré map has a unique fixed point; that is, system (4) admits a unique order-1 periodic solution. For , the Poincaré map does not have fixed point; that is, system (4) does not admit order-1 periodic solution.

(a)

(b)

(c)