Monotone-iterative method for finding periodic solutions of an impulsive competition system on tumor-normal cell interaction
文献类型：期刊论文
| 作者 | Dou, JW; Chen, LS; Li, KT |
| 刊名 | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
 |
| 出版日期 | 2004-08-01 |
| 卷号 | 4期号:3页码:555-562 |
| 关键词 | impulsive periodic solution monotone-iterative method competition system tumor-normal cell interaction |
| ISSN号 | 1531-3492 |
| 英文摘要 | In this paper, a monotone-iterative scheme is established for finding positive periodic solutions of a competition model of tumor-normal cell interaction. The model describes the evolution of a population with normal and tumor cells in a periodically changing environment. This population is under periodical chemotherapeutic treatment. Competition among the two kinds of cells is considered. The mathematical problem involves a coupled system of Lotka-Volterra together with periodically pulsed conditions. The existence of positive periodic solutions is proved by the monotone iterative technique and in a special case, the uniqueness of a periodic solution is obtained by proving that any two periodic solutions have the same average. Moreover, we also show that the system is permanent under the conditions which guarantee the existence of the periodic solution. Some computer simulations are carried out to demonstrate the main results. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000221965100006 |
| 出版者 | AMER INST MATHEMATICAL SCIENCES |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/19196]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Dou, JW |
| 作者单位 | 1.Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China 2.Acad Sinica, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China 3.Xian Jiaotong Univ, Fac Sci, Xian 710049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Dou, JW,Chen, LS,Li, KT. Monotone-iterative method for finding periodic solutions of an impulsive competition system on tumor-normal cell interaction[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B,2004,4(3):555-562. |
| APA | Dou, JW,Chen, LS,&Li, KT.(2004).Monotone-iterative method for finding periodic solutions of an impulsive competition system on tumor-normal cell interaction.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B,4(3),555-562. |
| MLA | Dou, JW,et al."Monotone-iterative method for finding periodic solutions of an impulsive competition system on tumor-normal cell interaction".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 4.3(2004):555-562. |
入库方式： OAI收割
来源：数学与系统科学研究院
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