C-M型反应函数的非均匀恒化器竞争模型的全局分歧  

Global bifurcation for a competition model in the unstirred chemostat with the C-M functional response

作　　者：黄正阳[1] 李艳玲[1] 

机构地区：[1]陕西师范大学数学与信息科学学院,陕西西安710062

出　　处：《纺织高校基础科学学报》2013年第4期450-457,共8页Basic Sciences Journal of Textile Universities

基　　金：国家自然科学基金资助项目(10971124);教育部高等学校博士点专项基金资助项目(200807180004)

摘　　要：研究N维情况下具有C-M型功能反应函数的非均匀恒化器竞争模型.应用局部分歧理论,讨论该模型方程组平衡态非负非平凡局部分歧解的存在性及稳定性;依据全局分歧理论,分析该系统全局分歧解的存在性及其性态.说明当选取适当参数时,2种微生物可共存.A competition model in the unstirred chemostat with the C-M functional response in N-dimen- sional case is studied. The existence and stability of the nonnegative-nontrivial steady-state solution are discussed by the theorem of local bifurcation,and the global structure of the system is analyzed by using the theorem of global bifurcation. These results indicate that the two species of microorganism can coex- ist when suitable parameters are selected.

关 键 词：恒化器 C-M反应函数 全局分歧 

分 类 号：O175.26[理学—数学]