Theory and Modern Applications
From: Optimal control problem arises from illegal poaching of southern white rhino mathematical model
Cases | \(\mathcal{R}_{1}^{*}\) | \(\mathcal{R}_{2}^{*}\) | Stable equilibrium | Type | |||
---|---|---|---|---|---|---|---|
\(N_{1}\) | \(N_{2}\) | \(N_{3}\) | M | ||||
\(\alpha ^{*}=\frac{1}{11}\) | 0.9803 | 0.8911 | 0 | 0 | 0 | 0 | Extinction \((\mathcal{E}_{1})\) |
\(\alpha ^{*}=\frac{1}{7}\) | 1.0638 | 0.9669 | 8.94 | 51.06 | 0 | 0 | Hunter-free \((\mathcal{E}_{2})\) |
\(\alpha ^{*}=\frac{1}{3}\) | 1.1628 | 1.0569 | 6.39 | 80.13 | 0.09 | 2.43 | Coexistence \((\mathcal{E}_{3})\) |