| 基于比率的三种群捕食者-食饵扩散系统的周期解 |
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| 引用本文： | 张正球,王志成.基于比率的三种群捕食者-食饵扩散系统的周期解[J].数学学报,2004,47(3):531-540. |
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| 作者姓名： | 张正球 王志成 |
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| 作者单位： | 湖南大学数学与计量经济学院,长沙,410082 |
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| 基金项目： | 国家自然科学基金(19971026，10271044) |
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| 摘 要： | 本文研究一类基于比率的三种群捕食者-食饵扩散系统,利用重合度理论建立了这类系统正周期解的存在性结果。
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| 关 键 词： | 捕食者-食饵扩散系统 正周期解 重合度理论 |
| 文章编号： | 0583-1431(2004)03-0531-10 |
Periodic Solution of Predator-Prey Diffusive System of Three Species with Ratio-Dependence |
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| Zheng Qiu ZHANG,Zhi Cheng WANG College of Mathematics and Econometrics,Hunan University,Changsha ,P. R. China.Periodic Solution of Predator-Prey Diffusive System of Three Species with Ratio-Dependence[J].Acta Mathematica Sinica,2004,47(3):531-540. |
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| Authors: | Zheng Qiu ZHANG Zhi Cheng WANG College of Mathematics and Econometrics Hunan University Changsha P R China |
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| Institution: | Zheng Qiu ZHANG;Zhi Cheng WANG College of Mathematics and Econometrics, Hunan University, Changsha 410082, P. R. China |
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| Abstract: | In this paper, a class of predator-prey diffusive system of three species with
ratio-dependence is studied. By using coincidence degree theory,we establish the exis-
tence result of positive periodic solution for the predator-prey diffusive system. |
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| Keywords: | Predator-prey diffusive system Positive periodic solution Coincidence degree theory |
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