淡江大學機構典藏:Item 987654321/109372
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    题名: REGIME SHIFT IN A PHYTOPLANKTON–PHOSPHORUS MODEL WITH VERTICAL STRUCTURE AND SEASONALITY
    作者: Ikeda, Kota;Miki, Takeshi
    关键词: Ecology;Periodic solutions;Stability;Bifurcations
    日期: 2016-03
    上传时间: 2017-01-17 10:22:54 (UTC+8)
    出版者: 淡江大學出版中心
    摘要: Many ecological systems are influenced by positive feedbacks between organisms and abiotic environments, which generates multiple stable equilibria of a mathematical model with a hysteresis structure. In addition, discontinuous shifts of system at equilibrium is predicted, which is often called regime shift in ecosystem sciences. This hysteresis structure is unfavorable from environmental management point of view, because the reconstruction of original equilibrium state requests much lower levels of external forcing. Mathematical models proposed in previous works are simple and mathematically tractable ([7],[2]).However, it is difficult to extrapolate from such simple models the occurrence likelihood of regime shift in natural environments since temporally dynamic features in ecology and physico-chemical environments, and spatial dimension are less explored in those models. In this study, we construct a realistic but mathematically tractable model of interaction between phytoplankton and phosphorus, which incorporates (1) 1-dimensional vertical structure of lake ecosystem and (2) seasonal periodic cycle of water mixing. We aim to understand the impact of changes in seasonality in various types of lakes on the occurrence of multiple attractors (periodic solution) and hysteresis structure.
    關聯: Tamkang Journal of Mathematics 47(1), pp.109-125
    DOI: 10.5556/j.tkjm.47.2016.1977
    显示于类别:[淡江數學期刊] 第47卷第1期

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