Analysis of an Impulsive One-Predator and Two-Prey System with Stage-Structure and Generalized Functional Response

Figure 4

Dynamical behavior of system (3) with initial values , , and . (a) Time series of , , and with , , which imply that overcatching of will drive it to die out. (b) Time series of , , and with , , which imply that overcatching of will also drive it to die out. (c) Time series of , , and with , . Figures show that the three species die out because of overcapturing of the two preys. (d) Time series of , , and with , the remaining parameters are as fixed as those in Figure 3. Comparing Figure 4 with Figure 3, one can find that the delay large enough can lead to die out.

(a)

(b)

(c)

(d)