| ε | Equilibrium points (G, I, β) | Stability |
| 1 | (600, 0, 0) | Stable |
| (100, 50, 1500) | Stable | |
| (250, 24.5, 323.4) | Unstable | |
| 0 | (600, 0, 0) | Unstable |
| (130, 41.43, 900) | Stable | |
| 0.5 | (600, 0, 0) | Stable |
| (111, 46.5, 1224) | Stable | |
| (267, 23, 293) | Unstable |