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| 摘要: |
| 本文研究一类离散Leslie-Gower三维食物链模型,运用差分不等式的有关结论,得到了种群 持久而 绝灭的充分性条件,然后构造适当的差分Lyapunov泛函,得到了该系统全局吸引的充分性条件,最后,数值模拟说明我们结论是可行的. |
| 关键词: 离散 食物链 持久性 绝灭性 全局吸引性. |
| DOI： |
| 分类号:O175.12 |
| 基金项目:福建省自然科学基金(2015J01012, 2015J01019) |
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| Dynamical behavior of a discrete Leslie-Gower-type Food Chain model |
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Su Qianqian
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| Abstract: |
| In this paper, we consider a class of discrete three-dimensional Leslie-Gower system. By using differential inequality of the relevant conclusions, we show that under some conditions, the species x1 and x3 are permanent and the species x2 will be driven to extionction. Then, by constructing a suitable Lyapunov functional, sufficient conditions are obtained to ensure the global attractivity of the system. Finally, An example together with its numerical simulations show the feasibility of our results. |
| Key words: Discrete Food chain Persistence Extinction Global attractivity. |
