Table 3 Analysis of equilibrium points by the eigenvalues of the Jacobian matrix J.
From: Analysis of long-term strategies of riparian countries in transboundary river basins
Condition | Equilibrium point | Sign of eigenvalues | Stability status |
|---|---|---|---|
1 | (0, 0, 0) | (?, ?, ?) | Uncertain stable point |
2 | (1, 0, 0) | (?, ?, ?) | Uncertain stable point |
3 | (0, 1, 0) | (?, ?, ?) | Uncertain stable point |
4 | (0, 0, 1) | (?, ?, ?) | Uncertain stable point |
5 | (1, 1, 0) | (?, ?, +) | Unstable point |
6 | (1, 0, 1) | (?, + , ?) | Unstable point |
7 | (0, 1, 1) | (?, ?, ?) | Uncertain stable point |
8 | (1, 1, 1) | (?, −, −) | Uncertain stable point |