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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
【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。
【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.
【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;
【Key words】 Beddington-DeAngelis functional response; Positive steady states; Prey-predator model; Existence; Uniqueness; Stability;
【Key words】 Beddington-DeAngelis functional response; Positive steady states; Prey-predator model; Existence; Uniqueness; Stability;
【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。
- 【文献出处】 数学年刊A辑(中文版) ,Chinese Annals of Mathematics , 编辑部邮箱 ,2007年04期
- 【分类号】O175.2
- 【被引频次】19
- 【下载频次】259