Monotone-iterative method for finding periodic solutions of an impulsive competition system on tumor-normal cell interaction

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	Monotone-iterative method for finding periodic solutions of an impulsive competition system on tumor-normal cell interaction
	Dou, JW ; Chen, LS ; Li, KT
	2004-08-01
发表期刊	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
ISSN	1531-3492
卷号	4 期号:3 页码:555-562
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.
关键词	impulsive periodic solution monotone-iterative method competition system tumor-normal cell interaction
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000221965100006
出版者	AMER INST MATHEMATICAL SCIENCES
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19197
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.