Dynamic Complexity in a Prey-Predator Model with State-Dependent Impulsive Control Strategy

Figure 6

(a) The order-1 successor function , the order-2 successor function , and the order-3 successor function , where the line denotes line . (b) An order-1 periodic solution corresponding to the root of , an order-2 periodic solution corresponding to roots of , and two order-3 periodic solutions corresponding to roots of , where the dashed curves denote the unstable periodic solutions and the solid curves denote the stable ones. (c) Time-series of population corresponding to the periodic solutions in (b), where .

(a)

(b)

(c)