纺织高校基础科学学报2016，Vol.29Issue(1)：26-34,9.DOI:10.13338/j.issn.1006-8341.2016.01.005
一类非均匀恒化器竞争模型共存态的全局分歧
Global bifurcation of coexistence state for a competition model in the unstirred chemostat
白金成1
作者信息
- 1. 陕西师范大学 数学与信息科学学院，陕西 西安 710119
- 折叠
摘要
Abstract
Global bifurcation of a competition model between plasmid-bearing and plasmid-free organisms in the unstirred chemostat with metabolites is discussed.A priori estimates for posi-tive steady-state solutions was established by the maximum principle.Necessary conditions for the positive steady-state solutions were given by the eigenvalue theory.By using the local bifur-cation theory and regarding the growth rate of the plasmid-bearing organism a as bifurcation parameter,the local bifurcation branch of positive steady-state solutions is constructed,and it can be extended to a global solution branch by using the global bifurcation theory.Moreover, the stability of solutions and the trend of the global bifurcation solutions were analyzed.It is shown that the global solution branch extends to infinity along the parameter a .From a biolog-ical point of view,two competitors can coexist when the maximal growth rate of the plasmid-bearing organism a ∈(λ1/(1-q),+∞).关键词
恒化器/分歧解/最大值原理Key words
chemostat/bifurcation solutions/maximum principle分类
数理科学引用本文复制引用
白金成..一类非均匀恒化器竞争模型共存态的全局分歧[J].纺织高校基础科学学报,2016,29(1):26-34,9.
