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| 双营养物的非均匀Chemostat模型解的性质 | |
| 引用本文： | 王利娟,吴建华,姜洪领. 双营养物的非均匀Chemostat模型解的性质[J]. 应用数学学报, 2012, 35(1): 59-72 |
| 作者姓名： | 王利娟 吴建华 姜洪领 |
| 作者单位： | 1. 陕西师范大学数学与信息科学学院,西安710062;宝鸡文理学院数学系,宝鸡721013 2. 陕西师范大学数学与信息科学学院,西安,710062 3. 宝鸡文理学院数学系,宝鸡,721013 |
| 基金项目： | 国家自然科学基金(10971124);教育部高等学校博士点基金项目(200807180004);宝鸡文理学院重点项目(ZK10116) |
| 摘 要： | 本文讨论双营养物的非均匀Chemostat模型解的性质.通过运用极值原理,上下解方法以及分歧理论得到了正平衡解的存在性,运用稳定性理论证明了正平衡解的稳定性. |
| 关 键 词： | 恒化器 分歧 稳定性 |
The Property of Solution for the Unstirred Chemostat Model with TWO Nutrients |
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| WANG LIJUAN , WU JIANHUA , JIANG HONGLING. The Property of Solution for the Unstirred Chemostat Model with TWO Nutrients[J]. Acta Mathematicae Applicatae Sinica, 2012, 35(1): 59-72 | |
| Authors: | WANG LIJUAN WU JIANHUA JIANG HONGLING |
| Affiliation: | (Department of Mathematics,Baoji University of Arts and Sciences,Baoji 721013) |
| Abstract: | The property of solution for the unstirred chemostat model with two nutrients is discussed in this paper.Using the maximum principle,lower-upper solution method and bifurcation theory,the existence of positive steady-state solution is obtained.By the stability theorem,the stability of the positive steady state solution is proved. |
| Keywords: | chemostat bifurcation stability |
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