Stochastic Analysis of a Hassell-Varley Type Predation Model

Figure 1

Phase portrait of model (4). Other parameters are taken as 𝑟=2, 𝐾=0.15, 𝑏=0.8, 𝑐=0.5, 𝑑=0.1, 𝑚=0.1, 𝛼=0.2, and ℎ=0.1. The horizontal axis is prey population 𝑁 and the vertical axis is predator population 𝑃. 𝐸₀=(0,0) and 𝐸₁=(0.15,0) are two saddle points; 𝐸^∗=(0.023,0.2025) is stable.