| Equilibrium point | Jacobian matrix determinant (symbol) | Jacobian matrix trace (symbol) | Analysis result | ||||||||
| Matrix determinant | A | B | C | matrix trace | A | B | C | A | B | C | |
| (0,0) | (F − G)(R − C) | − | − | + | F − G + R − C | Not clear | − | + | Unstable | Saddle point | Unstable |
| (0,1) | G(R − C) | − | − | + | −G − (R − C) | Not clear | + | − | Unstable | Saddle point | ESS |
| (1,0) | −(F − G)(R − C + F) | − | + | − | G + R − C | Not clear | − | + | Unstable | ESS | Saddle point |
| (1,1) | −G(R − C + F) | − | + | − | G ? R + C − F | Not clear | + | − | Unstable | Unstable | Saddle point |
| ((C − R)/F, (F − G)/F) | [G(F ? C + R)(C − R)(F − G)]/F2 | + | − | − | 0 | 0 | − | − | Saddle point | − | − |