| 带混合边界条件的Holling-Ⅱ型捕食模型正稳态解的存在性 |
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| 引用本文： | 张云,曾宪忠.带混合边界条件的Holling-Ⅱ型捕食模型正稳态解的存在性[J].纯粹数学与应用数学,2011,27(4):523-532. |
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| 作者姓名： | 张云 曾宪忠 |
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| 作者单位： | 湖南科技大学数学与计算科学学院,湖南湘潭,411201 |
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| 基金项目： | 国家自然科学基金，湖南省自然科学基金 |
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| 摘 要： | 研究了一个带混合边界条件的Holling-Ⅱ型捕食模型．通过构造一个微分紧算子K，借助锥内不动点指数理论、拓扑度理论、椭圆方程估计理论和极值原理证得了算子K存在正的不动点，此结论表明捕食模型存在正解，即物种共存状态．
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| 关 键 词： | Holling-Ⅱ型捕食模型 正稳态解的存在性 不动点 指数理论 度理论 |
Existence of positive stationary solutions for a prey-predator model with Holling-II type interactions and the mixed b |
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| ZHANG Yun,ZENG Xian-zhong.Existence of positive stationary solutions for a prey-predator model with Holling-II type interactions and the mixed b[J].Pure and Applied Mathematics,2011,27(4):523-532. |
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| Authors: | ZHANG Yun ZENG Xian-zhong |
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| Affiliation: | (School of Mathematics and Computational Science,Hunan University of Science and Technology,Xiangtan 411201,China) |
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| Abstract: | This paper investigates a prey-predator model with Holling-Ⅱ type interactions and mixed boundary conditions. By constructing a compact and Frechet differentiable operator , and by using the theory of the fixed point index in cones, the estimates theory o |
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| Keywords: | prey-predator model with Holling-Ⅱ type interactions existence of positive steady-state solutions fixed point the index |
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