| 带有扩散和Beddington-DeAngelis响应函数的捕食模型的正平衡态 |
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| 引用本文： | 陈滨,王明新. 带有扩散和Beddington-DeAngelis响应函数的捕食模型的正平衡态[J]. 数学年刊A辑(中文版), 2007, 0(4) |
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| 作者姓名： | 陈滨 王明新 |
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| 作者单位： | 东南大学数学系，东南大学数学系 南京210096 盐城师范学院数学系，江苏 盐城224002，南京210096 |
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| 基金项目： | 国家自然科学基金(No．10471022)，江苏省高等学校自然科学研究计划(No．05KJB110144，No．07KJD110233)资助的项目。 |
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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齐次Dirichlet边界条件下的正平衡态,给出了正平衡态存在的一个充要条件,当猎物种群相互干扰强的时候,得到正平衡态的稳定性与唯一性。
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| 关 键 词： | Beddington-DeAngelis响应函数 捕食模型 正平衡态 存在性 唯一性 稳定性 |
Positive Steady States to a Diffusive Prey-Predator Model with Beddington-DeAngelis Functional Response |
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| CHEN Bin WANG Mingxin. Positive Steady States to a Diffusive Prey-Predator Model with Beddington-DeAngelis Functional Response[J]. Chinese Annals of Mathematics, 2007, 0(4) |
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| Authors: | CHEN Bin WANG Mingxin |
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| Abstract: | This paper discusses the positive steady states of a diffusive prey-predator with Beddington-DeAngelis functional response under the homogeneous Dirichlet boundary con- dition.The authors obtain a necessary and sufficient condition for the existence of positive steady states.The stability and uniqueness of positive steady states are also discussed when interference of the predator species is strong. |
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| Keywords: | Beddington-DeAngelis functional response Positive steady states Prey-predator model Existence Uniqueness Stability |
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