| 摘要: |
| 对具有偏利关系的Lotka Volterra种群系统进行研究，首先提出了具有固定时刻脉冲的偏利关系的Lotka Volterra模型；然后利用周期脉冲微分方程的相关理论，分析了系统的一致持续性，讨论了系统周期解的存在唯一性及其全局吸引性的充分条件；最后通过一个具体实例进行了数值模拟，从而验证了所获得的理论结果的有效性。 |
| 关键词: 偏利关系模型 脉冲 全局吸引性 周期解 |
| DOI： |
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| The Dynamical Analysis of Commensalisms Lotka Volterra Model with Impulsive Effect |
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LI Zi jun, LI Dong
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| Abstract: |
| In the study of the commensalisms Lotka Volterra model, firstly, the Lotka Volterra model of the partial profit relation with fixed time pulse is established.Then, the relevant theories of differential equations with cycle pulse are used to analyze the existence and uniqueness of the periodic solution and the global attractivity. Finally, we give an example to illustrate the validity of our analysis by the numerical simulation. |
| Key words: commensalisms model impulsive global attractivity periodic solution |
