Theory and Modern Applications
Table 1 Model with Smith growth law: \(G(x)=\frac{K-x}{K+Dx}\), \(F(y)=\frac{L-y}{L+Dy}\)
From: Optimal harvesting of an abstract population model with interval biological parameters
\(l_{1}=l_{2}\) | Equilibrium points \((x^{*},y^{*})\) | Eigenvalues \(\mu _{1}\), \(\mu _{2}\) | Nature | Stability |
|---|---|---|---|---|
0 | (0.419172512,0.908562552) | −0.581443562, −0.935736565 | node | stable |
0.2 | (0.580237864,1.106635957) | −0.812364935, −1.154177340 | node | stable |
0.4 | (0.742088030,1.303631499) | −1.038076409, −1.374218715 | node | stable |
0.6 | (0.905409263,1.497837057) | −1.263864492, −1.593796608 | node | stable |
0.8 | (1.069795883,1.688474898) | −1.494873355, −1.812561546 | node | stable |
1 | (1.234382511,1.875292253) | −1.734772227, −2.031045452 | node | stable |