一类捕食食饵模型正解的性质  

The property of the positive solution for a predator-prey model

作　　者：姜洪领[1] 王利娟[1] 

机构地区：[1]宝鸡文理学院数学系,陕西宝鸡721013

出　　处：《宝鸡文理学院学报（自然科学版）》2012年第4期12-15,20,共5页Journal of Baoji University of Arts and Sciences(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10971124);陕西省自然科学基础研究计划资助项目(2011JQ1015);宝鸡文理学院重点资助项目(Zk10116;Zk11137)

摘　　要：目的讨论一类具有Beddington-DeAngelis功能反应函数的交叉扩散捕食模型正解的性质。方法利用最大值原理,Harnack不等式,ε-Young不等式和Poincaré不等式研究该模型。结果给出了模型正解的上下界和非常数正解的不存在性。结论在适当条件下该模型不存在非常数正解。Aim To discuss the property of the positive solution prey model with Beddington-DeAngelis functional response. Methods for a cross-diffusion predator- The model is investigated by means Of maximum principle, Harnack inequality, ε-Young inequality and Poincare inequality. Results A priori estimate of the positive solution and the nonexistence of the non-constant positive solutions for the model are given. Conclusion Under the appropriate conditions, the model has no non-constant positive solution.

关 键 词：捕食食饵 上下界 非常数正解 

分 类 号：O175.26[理学—数学]