| 非均匀Chemostat中非单食物链模型稳态正解的存在性 |
| |
| 引用本文： | 刘婧,郑斯宁.非均匀Chemostat中非单食物链模型稳态正解的存在性[J].高校应用数学学报(A辑),2005,20(1):37-46. |
| |
| 作者姓名： | 刘婧 郑斯宁 |
| |
| 作者单位： | 1. 大连海事大学,数理系,辽宁大连,116024
2. 大连理工大学,应用数学系,辽宁大连,116023 |
| |
| 摘 要： | 研究一类由反应扩散方程组描述的非均匀Chemostat中微生物之间既表现竞争关系又表现捕食被捕食关系的模型．用特征值理论确定了系统正稳态解存在的必要条件，用锥映射不动点指数方法给出了系统正稳态解存在的充分条件．
|
| 关 键 词： | Chemostat 竞争 捕食被捕食 稳态解 特征值 不动点指数 |
| 文章编号： | 1000-4424(2005)01-0037-10 |
Coexistence of steady states to a multiple food chain model in an unstirred Chemostat |
| |
| LIU Jing,ZHENG Si-ning.Coexistence of steady states to a multiple food chain model in an unstirred Chemostat[J].Applied Mathematics A Journal of Chinese Universities,2005,20(1):37-46. |
| |
| Authors: | LIU Jing ZHENG Si-ning |
| |
| Institution: | LIU Jing~1,ZHENG Si-ning~2 |
| |
| Abstract: | This paper deals with a reaction-diffusion system of a single food chain model of microbial continuous culture in oscillating Chemostat.The necessary conditions for the coexistence of steady states are determined by the bifurcation theory from simple eigenvalues.The sufficient conditions for it are established via the fixed point index theory in cones. |
| |
| Keywords: | Chemostat competition food chain steady states principal eigenvalue fixed point index |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
