| 一类具有时空时滞的单种群模型行波解的存在性 |
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| 引用本文： | 付景超,刘洋,刘春丽.一类具有时空时滞的单种群模型行波解的存在性[J].生物数学学报,2011(3):509-516. |
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| 作者姓名： | 付景超 刘洋 刘春丽 |
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| 作者单位： | 东北电力大学理学院; |
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| 基金项目： | 东北电力大学博士科研启动基金项目(BSJXM-200816); 国家自然科学基金(62074009) |
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| 摘 要： | 通过单调迭代和上下解技术,研究了一类具有时空时滞的单物种种群模型行波解的存在性,证明了当时滞充分小时,方程具有连接两个平衡点的波前解,并得到了一些新的结果.
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| 关 键 词： | 时空时滞 行波解 上下解 反应扩散方程 单种群模型 单调迭代 |
Existence of Traveling Waves for a Single Species Model with Spatio-temporal Delay |
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| FU Jing-chao LIU Yang LIU Chun-li.Existence of Traveling Waves for a Single Species Model with Spatio-temporal Delay[J].Journal of Biomathematics,2011(3):509-516. |
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| Authors: | FU Jing-chao LIU Yang LIU Chun-li |
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| Institution: | FU Jing-chao LIU Yang LIU Chun-li (College of Science,Northeast Dianli University,Jilin Jilin 132012 China) |
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| Abstract: | The existence of wave front for a single species model with spatio-temporal delay is concerned by employing the monotone iteration technique as well as the upper and lower solution method.It is showed for sufficient small delay,equation admits a monotonic traveling wave solution which connects the two equillibria.And some new results are obtained. |
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| Keywords: | spatio-temporal traveling wave solution upper-lower solution reaction-diffusion single species model iteration technique |
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