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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 Source Publication DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B ISSN 1531-3492 Volume 4Issue:3Pages:555-562 Abstract 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. Keyword impulsive periodic solution monotone-iterative method competition system tumor-normal cell interaction Language 英语 WOS Research Area Mathematics WOS Subject Mathematics, Applied WOS ID WOS:000221965100006 Publisher AMER INST MATHEMATICAL SCIENCES Citation statistics Document Type 期刊论文 Identifier http://ir.amss.ac.cn/handle/2S8OKBNM/19197 Collection 中国科学院数学与系统科学研究院 Corresponding Author Dou, JW Affiliation 1.Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China2.Acad Sinica, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China3.Xian Jiaotong Univ, Fac Sci, Xian 710049, Peoples R China Recommended CitationGB/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.
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