• 2017 5th ITCDM
    2017 5th ITCDM

    2017/07/18~2017/07/21 5th ITCDM

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      人:Prof. Bapan Ghosh, Department of Mathematics(National Institute of Technology Meghalaya, India)

      講    題:Biological conservation through marine protected areas in the presence of alternative stable states

    期:105621日(週二)

    間:1400開始

    點:S433

摘要Abstract

This article addresses how depleted stock can be restored because of marine reserve and species mobility when alternative stable states persist in a marine ecosystem. To understand the role of marine protected area, we develop a two-patch version of a single-patch model. In the two-patch model, we prove that some of the locally stable equilibria are not stable equilibria in ecological viewpoint. Similarly, some unstable equilibria determined classically from the mathematical model are no longer equlibria. It is shown that increasing reserve size may produce three alternative stable states in the presence of harvesting. Dynamic solutions have a tendency to reach an upper stable state from a lower stable state when reserve size is increased, but the opposite phenomenon (i.e., shifting to a lower stable state from an upper one) never occurs. This suggests that MPAs always have a positive effect in stock conservation even when alternative stable states inherently persist in marine ecosystems.

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數學中的一些美麗定理具有這樣的特性:它們極易從事實中歸納出來,但證明卻隱藏的極深。—— 高斯