| 具扩散的单种群阶段结构模型的周期解 |
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| 引用本文： | 杜明银,成军祥.具扩散的单种群阶段结构模型的周期解[J].北华大学学报(自然科学版),2012,13(5):497-502. |
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| 作者姓名： | 杜明银 成军祥 |
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| 作者单位： | 河南理工大学万方科技学院,河南郑州,454100;河南理工大学数学与信息科学学院,河南焦作,454000 |
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| 基金项目： | 河南省教育厅科学技术研究重点项目(12B110012) |
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| 摘 要： | 利用重合度理论中的延拓定理讨论了一类具有扩散和阶段结构的非自治单种群模型正周期解的存在性,其中幼年和成年种群均具有扩散因素,得到了周期解存在的充分条件.
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| 关 键 词： | 扩散 阶段结构 周期解 |
Periodic Solution for the Single Species Model with Stage Structures and Diffusion |
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| DU Ming-yin,CHENG Jun-xiang.Periodic Solution for the Single Species Model with Stage Structures and Diffusion[J].Journal of Beihua University(Natural Science),2012,13(5):497-502. |
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| Authors: | DU Ming-yin CHENG Jun-xiang |
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| Institution: | 1.Wanfang College of Science & Technology of Henan Polytechnic University,Zhengzhou 454100,China; 2.School of Mathematics and Information Science,Henan Polytechnic University,Jiaozuo 454000,China) |
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| Abstract: | By using a continuation theorem based on Ganies and Mawhin’s coincidence degree,the authors study the global existence of positive periodic solution for a single species model with stage structure and diffusion,where immature and mature species both have diffusion ability.Also the sufficient conditions of the positive periodic solution are obtained. |
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| Keywords: | diffusion stage structure periodic solution |
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