| 带有扩散和Beddington-DeAngelis响应函数的捕食模型的定性分析 |
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| 引用本文： | 刘佳,潘红燕.带有扩散和Beddington-DeAngelis响应函数的捕食模型的定性分析[J].江苏石油化工学院学报,2010(1):65-68. |
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| 作者姓名： | 刘佳 潘红燕 |
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| 作者单位： | [1]江苏工业学院数理学院,江苏常州213164 [2]常州机电职业技术学院人文系,江苏常州213016 |
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| 基金项目： | 江苏省自然基金项目资助（BK2006064） |
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| 摘 要： | 讨论了带有扩散和Beddington-DeAngelis响应函数的捕食模型在非均匀环境下的正平衡态,给出了正平衡态存在性的充分条件,特别地当空间维数是一维时,给出了正平衡态唯一性的充分条件。
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| 关 键 词： | 捕食模型 正平衡态 存在性 唯一性 |
Qualitative Analysis of a Diffusive Predator-Prey Model with Beddington-DeAngelis Functional Response |
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| LIU Jia,PAN Hong-yan.Qualitative Analysis of a Diffusive Predator-Prey Model with Beddington-DeAngelis Functional Response[J].Journal of Jiangsu Institute of Petrochemical Technology,2010(1):65-68. |
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| Authors: | LIU Jia PAN Hong-yan |
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| Affiliation: | 1.School of Physics and Mathematics,Jiangsu Polytechnic University,Changzhou 213164,China;2.Department of Humanities,Changzhou Institute of Mechatronic Technology,Changzhou 213016,China) |
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| Abstract: | This paper discusses the positive steady states of a diffusive predator-prey model with Beddington-DeAngelis functional response under the heterogeneous environment.The sufficient conditions for the existence of positive steady states and the uniqueness of positive steady states under the space dimension are obtained. |
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| Keywords: | predator-prey model positive steady states existence uniqueness |
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