| 具有饱和与竞争项的捕食模型共存解的惟一性 |
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| 引用本文： | 冯孝周,马晓丽.具有饱和与竞争项的捕食模型共存解的惟一性[J].西安工业大学学报,2014(1):11-15. |
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| 作者姓名： | 冯孝周 马晓丽 |
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| 作者单位： | [1]西安工业大学理学院,西安710021 [2]陕西师范大学数学与信息科学学院,西安710062 |
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| 基金项目： | 陕西省教育厅科学计划项目（12JK0865）;西安工业大学校长基金项目（XAGDJJ1136） |
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| 摘 要： | 文中考察了具有饱和与竞争项的捕食模型在齐次Dirichlet边界条件下正解的性质.利用锥不动点指标理论研究了正解的共存的充分必要条件.特别的利用数学分析的方法得到了该模型的正解存在的惟一性.
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| 关 键 词： | 捕食模型 正解 惟一性 存在性 |
Uniqueness of Coexistence on the Prey-predator Model with Predator Saturation and Competition |
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| Authors: | FENG Xiao-zhou MA Xiao-li |
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| Affiliation: | 1. School of Science, Xi＇ an Technological University, Xi＇ an 710021, China 2. Institute of Math and Infor Sci, Shaanxi Normal University, XV an 710062, China) |
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| Abstract: | The paper discusses the positive solutions of a prey-predator model with predator saturation and competition under the homogeneous Dirichlet boundary conditions .T he sufficient and necessary conditions for the coexistence of positive solutions are studied by using the standard fixed point index theory in cone .T he uniqueness of the coexistence of positive solutions is obtained by means of mathematics analysis . |
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| Keywords: | prey-predator model positive solutions uniqueness coexistence |
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