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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/110899

    Title: Dynamics of tumor models and immunotherapy
    Other Titles: 腫瘤模型的動態行為及其免疫治療
    Authors: 陳柏宇;Chen, Po-Yu
    Contributors: 淡江大學數學學系碩士班
    楊定揮;Yang, Ting-Hui
    Keywords: 腫瘤模型;免疫療法;Tumor model;Immunotherapy
    Date: 2016
    Issue Date: 2017-08-24 23:38:51 (UTC+8)
    Abstract: 在這工作中,我們考慮KP腫瘤模型的動態系統。
    In this work, we consider the dynamics of KP tumor model [12]. First, the non-negativity of solutions are showed and sufficient conditions to guarantee the unboundedness and boundedness of solution are established, respectively. Then we present the explicit form of tumor-free equilibrium with or without treatment. By applying local analysis to the linearized system, local stability of the tumor free equilibrium are verified. Moreover, a global dynamical result is also investigated. Next, we find the sufficient condition of the existence of positive equilibria. Unfortunately, there maybe have other positive equilibria. Finally, some biological implications and numerical simulations are presented in the last section.
    Appears in Collections:[數學學系暨研究所] 學位論文

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