Asymmetrical Impact of Allee Effect on a Discrete-Time Predator-Prey System

Figure 1

Compare the parameter regions of coexistence when the predator and prey are with Allee effect (shaded area) with those when they are without Allee effect, respectively. The area between lines a and b is the regions of coexistence when the predator-prey system is without Allee effect. (a) The situation of the predator with Allee effect. Parameter values are 𝑟=10, 𝐾=100, and 𝑢₁=6; (b) the situation of the prey with Allee effect. Parameter values are 𝑟=0.1, 𝐾=100, and 𝑢₂=6.

(a)

(b)