Theory and Modern Applications
Table 5 Average populations in the cases of constant \((h^{*})\), time-dependent \((h^{*}(t))\), and without control
From: Optimal control problem arises from illegal poaching of southern white rhino mathematical model
Population | \(N_{1}\) | \(N_{2}\) | \(N_{3}\) | M | Cost |
|---|---|---|---|---|---|
Without control | 85.5662 | 562.3740 | 2.7990 | 16.6829 | 1668.2890 |
Constant \(h^{*}=0.6908\) | 85.0596 | 583.7860 | 0.4183 | 1.6842 | 173.1947 |
(↑↓) | ↓0.59% | ↑3.81% | ↓85.06% | ↓89.90% | |
Time-dependent \(h^{*}(t)\) | 85.0038 | 585.3283 | 0.2828 | 1.1182 | 117.8970 |
(↑↓) | ↓0.66% | ↑4.08% | ↓89.89% | ↓93.29% |