带有扩散和Beddington-DeAngelis响应函数的捕食模型的正平衡态  

Positive Steady States to a Diffusive Prey-Predator Model with Beddington-DeAngelis Functional Response

作　　者：陈滨[1] 王明新[1] 

机构地区：[1]东南大学数学系

出　　处：《数学年刊（A辑）》2007年第4期495-506,共12页Chinese Annals of Mathematics

基　　金：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。

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。This paper discusses the positive steady states of a diffusive prey-predator with Beddington-DeAngelis functional response under the homogeneous Dirichlet boundary condition. 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.

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 

分 类 号：O175.2[理学—数学]