Lotka-Volterra System with Volterra Multiplier
文献类型：期刊论文
| 作者 | Guerlebeck, Klaus2; Ji, Xihhua1 |
| 刊名 | SOFTWARE TOOLS AND ALGORITHMS FOR BIOLOGICAL SYSTEMS
 |
| 出版日期 | 2011 |
| 卷号 | 696页码:647-655 |
| 关键词 | Volterra Multiplier Ecological Equations Lotka-Volterra Tree Systems 3D Predator-Prey Cycle System |
| ISSN号 | 0065-2598 |
| DOI | 10.1007/978-1-4419-7046-6_66 |
| 英文摘要 | With the aid of Volterra multiplier, we study ecological equations for both tree system and cycle system. We obtain a set of sufficient conditions for the ultimate boundedness to nonautonomous n-dimensional Lotka-Volterra tree systems with continuous time delay. The criteria are applicable to cooperative model, competition model, and predator prey model. As to cycle system, we consider a three-dimensional predator prey Lotka-Volterra system. In order to get a condition under which the system is globally asymptotic stable, we obtain a Volterra multiplier,. so that in a parameter region the system is with the Volterra multiplier it is globally stable. We have also proved that in regions in which the condition is not satisfied, the system is unstable or at least it is not globally stable. Therefore, we say that the three-dimensional cycle system is with global bifurcation. |
| WOS研究方向 | Life Sciences & Biomedicine - Other Topics ; Mathematical & Computational Biology ; Research & Experimental Medicine |
| 语种 | 英语 |
| WOS记录号 | WOS:000289694000066 |
| 出版者 | SPRINGER-VERLAG BERLIN |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/12987]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Ji, Xihhua |
| 作者单位 | 1.Chinese Acad Sci, Inst Math, AMSS, Beijing 100190, Peoples R China 2.Bauhaus Univ Weimar, D-99421 Weimar, Germany |
| 推荐引用方式 GB/T 7714 | Guerlebeck, Klaus,Ji, Xihhua. Lotka-Volterra System with Volterra Multiplier[J]. SOFTWARE TOOLS AND ALGORITHMS FOR BIOLOGICAL SYSTEMS,2011,696:647-655. |
| APA | Guerlebeck, Klaus,&Ji, Xihhua.(2011).Lotka-Volterra System with Volterra Multiplier.SOFTWARE TOOLS AND ALGORITHMS FOR BIOLOGICAL SYSTEMS,696,647-655. |
| MLA | Guerlebeck, Klaus,et al."Lotka-Volterra System with Volterra Multiplier".SOFTWARE TOOLS AND ALGORITHMS FOR BIOLOGICAL SYSTEMS 696(2011):647-655. |
入库方式： OAI收割
来源：数学与系统科学研究院
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