Theory and Modern Applications
From: Stability and bifurcation in a Holling type II predator–prey model with Allee effect and time delay
\(0< a< a_{1}\) | \(E_{0}\) GAS, \(E_{1}\) and \(E_{2}\) do not exist | ||
\(Q_{0}\leq 0\) | \(a>a_{1}\) | \(E_{0}\) LAS, \(E_{1}\) LAS, \(E_{2}\) unstable | |
\(Q_{0}>0\) | \(A\geq \frac{b(x^{*})^{2}}{d}\) | \(a>a_{1}\) | \(E_{0}\) LAS, \(E_{1}\) unstable, \(E_{2}\) unstable |
\(A<\frac{b(x^{*})^{2}}{d}\) | \(a_{1}< a< a_{2}\) | \(E_{0}\) LAS, \(E_{1}\) LAS, \(E_{2}\) unstable | |
\(a>a_{2}\) | \(E_{0}\) LAS, \(E_{1}\) unstable, \(E_{2}\) unstable |