一类n维竞争型生态模型周期解的存在性 |
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引用本文: | 徐天华. 一类n维竞争型生态模型周期解的存在性[J]. 达县师范高等专科学校学报, 2012, 0(5): 13-15 |
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作者姓名: | 徐天华 |
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作者单位: | 四川民族学院数学系,四川康定626001 |
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基金项目: | 四川省教育厅科研项目(10ZC024);四川省重点科研项目(11ZA181) |
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摘 要: | 研究了一类含扩散与无限时滞的n维竞争型Lotka—Voherra生态模型,利用对应特征值问题解的性质和比较原理,通过构造适当的上下解得到了模型周期解存在与全局渐近稳定的一个充分条件.
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关 键 词: | 扩散 无限时滞 上下解 全局渐近稳定 周期解 |
Existence of Periodic Solution to n -dimensional Competitive Lotka- Volterra System |
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Affiliation: | XU Tian - hua (Mathematics Department of Siehuan Nationalities University, Kangding Siehuan 626001, China) |
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Abstract: | An n - dimensional competitive Lotka - voherra system with diffusion and infinite distributed delays is investigated. It is shown that under an appropriate condition the periodic solution of the system are globally asymptotically stable by constructing a pair of upper and lower solution and using eignvalue theory and comparison principle: |
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Keywords: | diffusion infinite delays upper and lower solution globally asymptotic stable periodic solution |
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