Table 1 Physical description of the parameters in the stochastic model (1)–(4).
Parameters | Description of the parameters | Values |
|---|---|---|
\(\sigma_{1}\) | Migration rate from patch-1 to patch-2 | 1.8 |
\(\sigma_{2}\) | Migration rate from patch-2 to patch-1 | 1.6 |
\(\alpha_{1}\) | Inherent growth rate of predator-1 | 0.5 |
\(\alpha_{1}\) | Inherent growth rate of predator-2 | 0.8 |
\(r\) | Intrinsic growth rate of prey in patch-1 | 3 |
\(s\) | Intrinsic growth rate of prey in patch-2 | 2.8 |
\(q_{1}\) | Catch ability coefficient of prey in patch-1 | 0.5 |
\(q_{2}\) | Catch ability coefficient of prey in patch-2 | 0.7 |
\(m_{1}\) | Interaction rate of prey and predator in patch-1 | 1.2 |
\(m_{2}\) | Interaction rate of prey and predator in patch-2 | 1.8 |
\(\gamma_{1}\) | Equilibrium ratio of prey to predator in patch-1 | 0.5 |
\(\gamma_{2}\) | Equilibrium ratio of prey to predator in patch-2 | 0.3 |
\(E_{1}\) | Effort applied to harvest the prey in patch-1 | 2.5 |
\(E_{2}\) | Effort applied to harvest the prey in patch-2 | 3.5 |
\(K\) | Carrying capacity of prey in patch-1 | 10 |
\(L\) | Carrying capacity of prey in patch-2 | 15 |
\(\beta_{i}\) | Intensities of each individual population | Variable |
\(\xi_{i}\) | Gaussian white noise of each individual population | Variable |
