| Equilibrium points | Eigenvalues λ1 | Eigenvalues λ2 | Eigenvalues λ3 | Asymptotic stability condition |
| E1 (0, 0, 0) | b | c | d | b < 0, c < 0, d < 0 | E2 (0, 0, 1) | e | f | −d | e < 0, f < 0, d > 0 | E3 (0, 1, 0) | | −c | a | , c > 0, a < 0 | E4 (1, 0, 0) | −b | h | i | b > 0, h < 0, i < 0 | E5 (1, 1, 0) | | | j | , h > 0, j < 0 | E6 (1, 0, 1) | −e | m | −i | e > 0, m < 0, i > 0 | E7 (0, 1, 1) | n | −f | −a | n < 0, f > 0, a > 0 | E8 (1, 1, 1) | −n | −m | −j | n > 0, m > 0, j > 0 | | A1 | A2 | −A2 | Saddle point | | A3 | A4 | −A4 | Saddle point | | A5 | A6 | −A6 | Saddle point | | A7 | A8 | −A8 | Saddle point |
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