Impulsive perturbation and bifurcation of solutions for a model of chemostat with variable yield
文献类型：期刊论文
| 作者 | Zhang, Hong1,2; Georgescu, Paul3; Nieto, Juan J.4; Chen, Lan-sun5 |
| 刊名 | APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
 |
| 出版日期 | 2009-07-01 |
| 卷号 | 30期号:7页码:933-944 |
| 关键词 | chemostat impulsive differential equation permanence extinction fixed point approach bifurcation |
| ISSN号 | 0253-4827 |
| DOI | 10.1007/s10483-009-0712-x |
| 英文摘要 | In this paper, we consider a variable yield model of a single-species growth in a well-stirred tank containing fresh medium, assuming the instances of time as triggering factors in which the nutrient refilling process and the removal of microorganisms by the uptake of lethal external antibiotic are initiated. It is also assumed that the periodic nutrient refilling and the periodic antibiotic injection occur with the same periodicity, but not simultaneously. The model is then formulated in terms of autonomous differential equations subject to impulsive perturbations. It is observed that either the population of microorganisms essentially washes out, or more favorably, the system is permanent. To describe this dichotomy, some biologically significant integral conditions are introduced. Further, it is shown that in a certain critical situation, a nontrivial periodic solution emerges via a bifurcation phenomenon. Finally, the dynamics of the model is illustrated with numerical experiments and computer simulations. |
| WOS研究方向 | Mathematics ; Mechanics |
| 语种 | 英语 |
| WOS记录号 | WOS:000268187900012 |
| 出版者 | SHANGHAI UNIV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/7580]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhang, Hong |
| 作者单位 | 1.Jiangsu Univ, Dept Math, Zhenjiang 212013, Jiangsu Prov, Peoples R China 2.Umea Univ, Dept Math & Math Stat, SE-90187 Umea, Sweden 3.Gh Asachi Tech Univ Iasi, Dept Math, Iasi 700506, Romania 4.Univ Santiago de Compostela, Fac Matemat, Dept Anal Matemat, Santiago De Compostela 15782, Spain 5.Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, Hong,Georgescu, Paul,Nieto, Juan J.,et al. Impulsive perturbation and bifurcation of solutions for a model of chemostat with variable yield[J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION,2009,30(7):933-944. |
| APA | Zhang, Hong,Georgescu, Paul,Nieto, Juan J.,&Chen, Lan-sun.(2009).Impulsive perturbation and bifurcation of solutions for a model of chemostat with variable yield.APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION,30(7),933-944. |
| MLA | Zhang, Hong,et al."Impulsive perturbation and bifurcation of solutions for a model of chemostat with variable yield".APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION 30.7(2009):933-944. |
入库方式： OAI收割
来源：数学与系统科学研究院
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