Theory and Modern Applications
Table 1 Notations used to denote parameters
Parameters | Description |
|---|---|
\(x_{i} ( t ) \) | The population of species of the ith prey at t. |
\(y_{j} ( t ) \) | The population of species of the ith predator at t. |
\(r_{i} ( t ) \) | The population growth of prey without predators. |
\(r_{j} ( t ) \) | The decay rate of predator population without prey. |
α | The mutual interference of predator and 0<α<1. |
\(b_{ik} ( t ) \) | The number of prey decreased due to inter-specific competition. |
\(p_{jk} ( t ) \) | The number of predator decreased due to inter-specific competition. |
\(c_{ik} ( t ) \) | The amount of prey eaten by predator. |
\(q_{kj} ( t ) \) | Conversion of energy from prey to predators. |