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| 具有避难所的非自治捕食系统的周期解 |
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王惠程1, 夏永辉1, 邹长武2
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1.浙江师范大学;2.福州大学
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| 摘要: |
| 考虑了一类具有避难所的非自治捕食系统, 得到了该模型存在正周期解的新颖充分条件.所使用的方法是把Mawhin重合度理论和算子方程先验界的一些新估计技巧相结合. |
| 关键词: 捕食模型 避难所 周期解 |
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| Periodic solutions of a nonautonomous predator-prey model with a constant refuge |
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WANG Huicheng1, XIA Yonghui1, ZOU Changwu2
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1.Department of Mathematics, Zhejiang Normal University;2.College of Mathematics and Computer Science, Fuzhou University
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| Abstract: |
| We consider the nonautonomous predator-preymodel with a constant refuge. Some new and interesting sufficient conditions are obtained for the global existence of the positive periodic solutions of such a model. Our method is based on Mawhin’s coincidence degree and novel estimation techniques for the a priori bounds of unknown solutions to Lx = λNx. |
| Key words: predator-prey model refuge periodic solution |
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