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    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/156427


    Title: 具反應擴散項之耦合生物系統的動態研究
    The Dynamics in Coupled Biological Systems with Reaction-Diffusion Terms
    Authors: 曾睿彬
    Contributors: 應數系
    Keywords: 反應擴散項;耦合系統;同步化;時間延遲
    Reaction-diffusion term;coupled systems;synchronization;time-delay
    Date: 2020-01
    Issue Date: 2025-03-31 11:55:19 (UTC+8)
    Abstract: 在過去的幾十年裡, 具有反應擴散項與時間延遲之耦合偏微分方程式已經吸了許多的研究興趣，其中所涉及的研究問題包含了系統的同步化、耗散性、穩定性與收斂性。在目前的文獻中，常微分方程式或時間延遲微分方程的同步化已被廣泛地研究。然而，對於偏微分方程的同步化研究相對少了許多。 在這個研究計劃，我們計畫研究具反應擴散項與時間延遲之耦合偏微分方程式之同步化行為，以及其它動態行為，包含耗散性、穩定性與收斂性。特別地，我們希望可將所發展的理論運用於較真實的生物模型上。本計劃申請人本年度提出二件研究計畫，而此計劃為第一優先。
    There have been increasingly intensive studies on coupled partial differential equations with reaction-diffusion terms and time delays in the past few decades. The research questions involved in these studies include the synchronization, dissipation, stability and convergence of the systems. In the existing literature, the synchronization of ordinary differential equations or time-delay differential equations has been extensively studied. However, there is relatively fewer studies on the synchronization of coupled partial differential equations. In this research project, we plan to investigate the synchronization of coupled partial differential equations with reaction-diffusion terms and time delays, as well as other dynamic behaviors, including dissipation, stability and convergence. In particular, we hope that the theory developed in this project can be applied to more realistic biological models.
    Relation: 科技部, MOST107-2115-M004-003, 107.08-108.07
    Data Type: report
    Appears in Collections:[Department of Mathematical Sciences] NSC Projects

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