Table 2.
Stability analysis of equilibrium point in case 1,case 2and case 3.
Case 1 |
Case 2 |
Case 3 |
|||||||
---|---|---|---|---|---|---|---|---|---|
Equilibrium point | Stability | Stability | Stability | ||||||
(0,0) | – | + | ESS | + | + | Instability | + | + | Instability |
(0,1) | – | Instability | – | + | ESS | – | Instability | ||
(1,0) | – | Instability | – | + | ESS | – | Instability | ||
(1,1) | + | + | Instability | + | + | Instability | – | + | ESS |
(xD,yD) | 0 | Saddle point | 0 | Saddle point | 0 | Saddle point |