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    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/156447


    Title: 非單調系統之漸近傳播速度
    Asymptotic Speed of Spread for Non-Monotone Systems
    Authors: 符聖珍
    Contributors: 應數系
    Date: 2018-10
    Issue Date: 2025-03-31 11:55:45 (UTC+8)
    Abstract: 在本計畫中，我們將探討以下的捕食者-被捕食者系統的漸近傳播速度其中d, K, , ,m 均為正的常數，u(x,t)及v(x,t)分別表示在位置x 及時刻t 時捕食者及被捕食者的數 量密度，我們假設初始條件和為非負且均勻連續的函數使得且是compact supported。此系統是一個非單調系統，我們想藉由此系統提供一個研究非單調系統之漸近傳播速度 的方法。
    In this project, we will study the asymptotic speed of spread for the following predator-prey systemwhere d, K, , ,m are positive constants, u(x,t) and v(x,t) are the dimensionless population densities of prey and predator, respectively;. the initial data and are assumed to be nonnegative and uniformly continuous functions on such that and is compact supported. Such system is a non-monotone system. We intend to provide a way to the study of the asymptotic speed of spread for the non-monotone system.
    Relation: 科技部, MOST106-2115-M004-002, 106.08-107.07
    Data Type: report
    Appears in Collections:[應用數學系] 國科會研究計畫

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