Qualitative Analysis for a Predator Prey System with Holling Type III Functional Response and Prey Refuge

Figure 3

The dynamical behaviors of system (2.1) when 𝛼=0.5, 𝑘=0.2, 𝛽=0.5, 𝑎=1, 𝑏=0.1, 𝑐=0.09, 𝑚=1. (a) The existence of unique limit cycle. (b) The global stability of the limit cycle.

(a)

(b)