| 竞争Lotka-Volterra扩散系统的全局稳定性和周期解 |
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| 引用本文： | 柳合龙,戴启学. 竞争Lotka-Volterra扩散系统的全局稳定性和周期解[J]. 信阳师范学院学报(自然科学版), 1999, 12(3): 259-263 |
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| 作者姓名： | 柳合龙 戴启学 |
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| 作者单位： | 信阳师范学院,数学系,河南,信阳,464000 |
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| 基金项目： | 国家自然科学基金，974050600， |
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| 摘 要： | 本文讨论一类竞争扩散系统，此系统有两种种群ｎ 个斑块，其中一种种群可以在ｎ 个斑块中自由扩散，而另一种种群被限制在一个斑块中不能扩散，当系数满足一定的积分不等式时，得到系统的全局稳定性和周期解．
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| 关 键 词： | 正周期解 全局渐近稳定 扩散 |
Global asymptotical stability and periodic orbits for competitive Lotka-Volterra diffusion system |
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| Abstract. Global asymptotical stability and periodic orbits for competitive Lotka-Volterra diffusion system[J]. Journal of Xinyang Teachers College(Natural Science Edition), 1999, 12(3): 259-263 |
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| Authors: | Abstract |
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| Abstract: | This paper considers a competing system consisting of two species, one of which can diffuse among n - pathes, while the other is confined to one path and can not diffuse. It is proved that if tbe coefficients satisfy certain inequalities, then the system can have a strictly positive periodic orbit which is globally asymptotically stable. |
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| Keywords: | positive periodic orbit global asymptotical stability diffusion |
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