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| 摘要: |
| 本文研究了一类离散Leslie-Gower三维食物链模型动力学行为.利用差分不等式，获得了在一定的条件下种群x1，x3持久而x2绝灭，然后构造适当的差分Lyapunov函数，得到了该系统全局吸引性的充分性条件，推广了Huo在文[2]中的结果. |
| 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 Qian-qian
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| Abstract: |
| In this paper, we study the dynamics behavior of a discrete Leslie-Gower three-dimensional food chain model. By using differential inequality, we get the conclusion 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 function, sufficient conditions are obtained to ensure the global attractivity of the system, which promotes the resluts of Huo in text[2]. |
| Key words: discrete food chain persistence extinction global attractivity |
