浮游植物在均質水域中吸收陽光及養分的競爭數學模型

Competition of Phytoplankton Species for Light and Nutrient in a Well-mixed Water Column

林秋如

指導教授 ： 許世壁

國立清華大學/理學院/數學系/博士(2013年)

摘要

本文探討均質水域中浮游植物競爭系統，考慮何種機制能促進物種的多樣性。
第一個模型在浮游生物動態行為中考慮光抑制的效應，其結果展現多重的穩定平衡解，物種在此模型中不會達到共存。第二個模型中兩物種同時競爭陽光及單一養分，其競爭結果有下列的可能性，只有單一物種存活，兩物種共存，或者是雙穩定現象。第三個模型對於物種競爭陽光時，考慮物種在吸收不同的光波有相對的喜好程度，兩物種競爭結果與第二個模型類似。第四個模型考慮在周期變化的環境中兩物種對單一養分的競爭，其結果可能達到兩物種共存，甚至可能逆轉競爭結果，然而卻不可能達到雙穩定的現象

關鍵字

化學恆化器 ； 浮游植物 ； 競爭排除 ； 雙穩定 ； 共存

並列摘要

We consider several phytoplankton competition models in a well-mixed water column to explore which mechanisms promote bio-diversity. The dynamics of phytoplankton communities under photo-inhibition shows that alternative stable states exist, and coexistence does not occur. The dynamics of two
microbial species competing for nutrient and light exhibits competitive exclusion, coexistence, and bi-stability. The competition of phytoplankton species for light with wavelength can also promote bio-diversity. The competition of two microorganisms for nutrient with seasonal succession in chemostat can exhibit coexistence, reversing competition outcomes, but not bi-stability.

並列關鍵字

chemostat ； phytoplankton ； competitive exclusion ； bistability ； coexistence

參考文獻

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