Theory and Modern Applications
Table 1 Local stability result of the coexistence equilibrium of ring-structured system (2.2) with \(\alpha=0\) and \(n=4\)
From: Stability switches in a ring-structured predator–prey metapopulation model with dispersal delay
A<0 | A>0 | |
|---|---|---|
\(0< d<\frac{A}{4}\) | Stable | Unstable |
\(\frac{A}{4}< d<\frac{A}{2}\) | Stable | Unstable |
\(d>\frac{A}{2}\) | Stable | Unstable if \(\tau ^{(2)}_{0,8}<\tau^{(0)}_{0,5}\); \(\mathcal{N}\geq1\) stability intervals exist if \(\tau^{(0)}_{0,5}<\tau^{(2)}_{0,8}\) |