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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 PublicationDISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
ISSN1531-3492
Volume4Issue:3Pages:555-562
AbstractIn 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.
Keywordimpulsive periodic solution monotone-iterative method competition system tumor-normal cell interaction
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000221965100006
PublisherAMER INST MATHEMATICAL SCIENCES
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/19197
Collection中国科学院数学与系统科学研究院
Corresponding AuthorDou, JW
Affiliation1.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
Recommended Citation
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.
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