Table 1 Equilibrium solution stability conditions
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) | (i−k,−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 |