Rich Dynamics of a Predator-Prey System with Different Kinds of Functional Responses

Figure 4

The phase portrait diagram of (4) around the coexisting singular point (green filled circle) with initial values . Black vertical line represents the predator isocline, and the red curve represents the prey isocline. The subplot (a) shows the phase portrait diagram is stable asymptotically at for , and (b) the phase portrait diagram shows the limit cycle oscillation around for ; the other parameter values are , , , , , and .

(a)

(b)