中山大学学报（自然科学版）2017，Vol.56Issue(5)：51-59,9.DOI:10.13471/j.cnki.acta.snus.2017.05.007
一类扩散食物链模型正解的多重性和唯一性
Multiplicity and uniqueness of positive solutions to a diffusive food-chain model
摘要
Abstract
A food-chain system with Crowley-Martin functional response is studied.By making use of the global bifurcation theory and degree theory,the existence and multiplicity of positive solutions are discussed and the basic shape of bifurcation curve of positive solutions is obtained.Moreover,the conditions of the uniqueness and stability of positive solutions are given by means of perturbation theory.It turns out that there exists a unique asymptotically stable positive solution under certain conditions when d is sufficiently large.关键词
Crowley-Martin反应函数/分歧/扰动/多重性/唯一性Key words
Crowley-Martin functional response/bifurcation/perturbation/multiplicity/uniqueness分类
数理科学引用本文复制引用
李海侠..一类扩散食物链模型正解的多重性和唯一性[J].中山大学学报（自然科学版）,2017,56(5):51-59,9.基金项目
国家自然科学基金(11501496,11401356) （11501496,11401356）
陕西省教育厅专项科研计划(16JK1046) （16JK1046）
陕西省自然科学基础研究计划(2014JQ2-1003) （2014JQ2-1003）
