| 一类具有相互干扰的两种群捕食系统 |
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| 引用本文： | 郭红建. 一类具有相互干扰的两种群捕食系统[J]. 信阳师范学院学报(自然科学版), 2006, 19(3): 255-257 |
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| 作者姓名： | 郭红建 |
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| 作者单位： | 信阳师范学院,河南,信阳,464000 |
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| 基金项目： | 国家自然科学基金资助项目(10471117) |
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| 摘 要： | 首先给出一类具有相互干扰的两种群捕食系统,分析了其解的有界性及正平衡点的存在性,证明了正平衡点是全局渐近稳定的,且系统在R2 内不存在极限环,并通过数值模拟验证了结论的正确性,最后简单地讨论了连续收获效应对系统的影响.
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| 关 键 词： | 捕食系统 平衡点 稳定性 极限环 |
| 文章编号： | 1003-0972（2006）03-0255-03 |
| 收稿时间： | 2005-12-27 |
| 修稿时间： | 2005-12-27 |
A Kind of Predator-Prey System with Mutual Interference |
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| GUO Hong-jian. A Kind of Predator-Prey System with Mutual Interference[J]. Journal of Xinyang Teachers College(Natural Science Edition), 2006, 19(3): 255-257 |
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| Authors: | GUO Hong-jian |
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| Affiliation: | Xinyang Normal University, Xinyang 464000, China |
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| Abstract: | A kind of predator-prey system with mutual interference is presented firstly,then the boundedness of the solution and the existence of positive equilibrium are analysized.It is proved that positive equilibrium is globally aympotically stable and that the system has no limit cycle in R_ ~2.Furthermore numerical stimulation verifes the results obtained in this paper.Finally,the effects of continuous harvest on the system is discussed tersely. |
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| Keywords: | predator-prey system equilibrium stability limit cycle |
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