Table 2 Local stability analysis of Case 1 and Case 2.
Balance point | Case 1 | Case 2 | ||||
|---|---|---|---|---|---|---|
\({\text{tr}}J\) | \(\det J\) | Local stability | \({\text{tr}}J\) | \(\det J\) | Local stability | |
\((0,0)\) | \(-\) | \(+\) | ESS | \(\pm\) | \(-\) | Saddle point |
\((0,1)\) | \(\pm\) | \(-\) | Saddle point | \(-\) | \(+\) | ESS |
\((1,0)\) | \(\pm\) | \(-\) | Saddle point | \(+\) | \(+\) | Instability point |
\((1,1)\) | \(+\) | \(+\) | Instability point | \(\pm\) | \(-\) | Saddle point |
