Codimension-Two Bifurcations of Fixed Points in a Class of Discrete Prey-Predator Systems

Figure 1

Stability regions in (𝑑,𝑎)-space. Ω^𝑆_𝐸1, Ω^𝑆_𝐸2 are the stability regions of 𝐸₁ and 𝐸₂, respectively. The stability region Ω^𝑆_𝐸3 of 𝐸₃ is the union of Ω^𝑆1_𝐸3 and Ω^𝑆2_𝐸3 (which correspond to (i) and (iii) in Proposition 2.3, resp.), and the open interval that separates them (and corresponds to (ii) in Proposition 2.3).