Theory and Modern Applications
Table 2 Equilibria of system (4)
From: Stability and bifurcation in a Holling type II predator–prey model with Allee effect and time delay
a ≤ d | A>0 | \(E_{0}\) exists | ||
a>d | \(Q_{0}\leq 0\) or \(Q_{0}>0, x^{*}\geq \frac{a-d}{b}\) | \(0< A< A_{1}\) | \(E_{0}\), \(E_{1}\), \(E_{2}\) exist | |
\(Q_{0}>0, x^{*}<\frac{a-d}{b}\) | \(x^{*}\neq x^{*}_{0}\) | \(A_{2}\leq A< A_{1}\) | \(E_{0}\), \(E_{1}\), \(E_{2}\) exist | |
\(0< A< A_{2}\) | \(E_{0}\), \(E_{1}\), \(E_{2}\), \(E^{*}\) exist | |||
\(x^{*}=x^{*}_{0}\) | \(0< A< A_{1}\) | \(E_{0}\), \(E_{1}\), \(E_{2}\), \(E^{*}\) exist | ||
\(A> A_{1}\) | \(E_{0}\) exists | |||