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Theory and Modern Applications

Table 3 Model with Gompertz growth law: \(G(x)=\log \frac{K}{x}\), \(F(y)=\log \frac{L}{y}\)

From: Optimal harvesting of an abstract population model with interval biological parameters

\(l_{1}=l_{2}\)

Optimal equilibrium points \((x_{\delta },y_{\delta })\)

Optimal harvesting effort \(E_{\delta }\)

Net profit π

0

x = 3.443537327, y = 7.560265684

8.374675319

8.281462788

0.3

x = 3.445559288, y = 7.558177313

8.550819930

8.466799805

0.5

x = 3.446887949, y = 7.556795592

8.670232950

8.592458344

0.8

x = 3.448852456, y = 7.554738527

8.852381065

8.784153493

1

x = 3.450143413, y = 7.553377337

8.975864014

8.914122016