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# Table 1 Properties of \((x_{4},y_{4})\)

From: Identifying weak focus of order 3 in a Leslie–Gower prey–predator model with prey harvesting

Parameter conditions | Properties | ||
---|---|---|---|

\(0<\beta <\frac{1}{2}\) | \(0<\delta <\frac{1}{2}-\beta \) | \(0<\varepsilon <\varepsilon _{1}\) | stable node or focus |

\(\varepsilon =\varepsilon _{1}\) | center type | ||

\(\varepsilon _{1}<\varepsilon <\frac{\beta }{4(\beta +\delta )}\) | unstable node or focus | ||

\(0<\beta <\frac{1}{2}\) | \(\delta \geq \frac{1}{2}-\beta \) | \(0<\varepsilon <\frac{\beta }{4(\beta +\delta )}\) | stable node or focus |

\(\beta \geq \frac{1}{2}\) |
δ>0
| \(0<\varepsilon <\frac{\beta }{4(\beta +\delta )}\) | stable node or focus |