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Table 1 Equilibrium solution stability conditions

From: A dynamical systems model of progesterone receptor interactions with inflammation in human parturition

Equilibrium Trivial: (0,0) Quiescent: (1,0) Laboring: (0,1) Intermediate: \(\left (\frac {i(1-b)}{k-ib},\frac {b(k-i)}{k-ib}\right)\)
Eigenvalues (λ 1, λ 2) (b,i) (ik,−b) (b−1,−i) \(\left (\frac {-\beta + \sqrt {(\beta ^{2} - 4\gamma)}}{2}, \frac {-\beta - \sqrt {(\beta ^{2} - 4\gamma)}}{2}\right)\)
Stability Unstable Stable Stable Unstable
Condition b>0 and i>0 (i<k,b>0) (b<1,i>0) b>0 and i>0