| 具有放牧率及扩散的概周期竞争模型 |
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| 引用本文： | 王长有,王术,李林锐.具有放牧率及扩散的概周期竞争模型[J].北京工业大学学报,2012,38(11):1749-1755,1760. |
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| 作者姓名： | 王长有 王术 李林锐 |
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| 作者单位： | 北京工业大学应用数理学院,北京100124 重庆邮电大学工业物联网与网络化控制教育部重点实验室,重庆400065 重庆邮电大学应用数学研究所,重庆400065;北京工业大学应用数理学院,北京,100124 |
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| 基金项目： | 国家自然科学基金资助项目，重庆市教育委员会科学技术研究项目 |
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| 摘 要： | 研究了一类具有放牧率及扩散的3种群概周期竞争模型,利用上、下解方法,Schauder不动点定理以及Lyapunov稳定性理论,得到了确保该模型空间齐次概周期解的存在性及稳定性的充分条件,推广了已有的相应结果.
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| 关 键 词： | 概周期解 稳定性 竞争模型 放牧率 上、下解方法 |
Almost Periodic Competition Models With Grazing Rates and Diffusions |
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| Abstract: | Almost periodic solution of a three-species competition system with grazing rates and diffusions were investigated by using the method of upper and lower solutions,the Schauder fixed point theorem as well as Lyapunov stability theory.Sufficient conditions guaranteeing the existence and stability of the strictly positive space homogenous almost periodic solution of the system were obtained,and some known results were improved. |
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| Keywords: | almost periodic solution stability competition model grazing rates method of upper andlower solutions |
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