| 一类生态模型的周期解研究 |
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| 引用本文： | 何烨峰,邢业朋.一类生态模型的周期解研究[J].上海师范大学学报(自然科学版),2012,41(2):111-121. |
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| 作者姓名： | 何烨峰 邢业朋 |
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| 作者单位： | 上海师范大学 数理学院,上海,200234 |
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| 基金项目： | Shanghai Municipal Education Committee(10YZ74) |
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| 摘 要： | 考虑了周期环境中带有非单调功能反应的非自治捕食者食饵模型,得到了不存在周期解、至少存在一个或两个周期解的新的充分条件,所用方法主要基于Mawhin的迭合度理论及估计先验界的新技巧.
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| 关 键 词： | 周期解 适合度 捕食者-食饵模型 非单调功能反应 |
Study on periodic solutions for a class of ecological models |
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| HE Ye-feng
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XING Ye-peng.Study on periodic solutions for a class of ecological models[J].Journal of Shanghai Normal University(Natural Sciences),2012,41(2):111-121. |
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| Authors: | HE Ye-feng XING Ye-peng |
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| Institution: | (College of Mathematics and Sciences,Shanghai Normal University,Shanghai 200234,China) |
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| Abstract: | We consider a non-autonomous predator-prey model with nonmonotonic functional response in a periodic environment.Some new sufficient conditions are obtained for the nonexistence of periodic solutions and the global existence of at least one or two positive periodic solutions.Our method is based on Mawhin′s coincidence degree and novel estimation techniques for the priori bounds of unknown solutions. |
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| Keywords: | periodic solution coincidence degree predator-prey model nonmonotonic functional response |
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