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題名 非單調系統之漸近傳播速度
Asymptotic Speed of Spread for Non-Monotone Systems
作者 符聖珍
貢獻者 應數系
日期 2018-10
上傳時間 31-Mar-2025 11:55:45 (UTC+8)
摘要 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.
關聯 科技部, MOST106-2115-M004-002, 106.08-107.07
資料類型 report
dc.contributor 應數系
dc.creator (作者) 符聖珍
dc.date (日期) 2018-10
dc.date.accessioned 31-Mar-2025 11:55:45 (UTC+8)-
dc.date.available 31-Mar-2025 11:55:45 (UTC+8)-
dc.date.issued (上傳時間) 31-Mar-2025 11:55:45 (UTC+8)-
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/156447-
dc.description.abstract (摘要) 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。
dc.description.abstract (摘要) 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.
dc.format.extent 116 bytes-
dc.format.mimetype text/html-
dc.relation (關聯) 科技部, MOST106-2115-M004-002, 106.08-107.07
dc.title (題名) 非單調系統之漸近傳播速度
dc.title (題名) Asymptotic Speed of Spread for Non-Monotone Systems
dc.type (資料類型) report