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Spatio-temporal pattern formation, fractals, and chaos in conceptual ecological models as applied to coupled plankton-fish dynamics

机译:应用于浮游生物-鱼类动力学的概念生态模型中的时空格局形成,分形和混沌

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The current turn-of-the-century period witnesses the intensive use of the bioproducts of the World Ocean while at the same time calling for precautions to preserve its ecological stability. This requires that biophysical processes in aquatic systems be comprehensively explored and new methods for monitoring their dynamics be developed. While aquatic and terrestrial ecosystems have much in common in terms of their mathematical description, there are essential differences between them. For example, the mobility of oceanic plankton is mainly controlled by diffusion processes, whereas terrestrial organisms naturally enough obey totally different laws. This paper is focused on the processes underlying the dynamics of spatially inhomogeneous plankton communities. We demonstrate that conceptual reaction-diffusion mathematical models are an appropriate tool for investigating both complex spatio-temporal plankton dynamics and the fractal properties of planktivorous fish school walks.
机译:当前的世纪之交见证了世界海洋生物产品的大量使用,同时呼吁采取预防措施以维护其生态稳定性。这就要求全面探索水生系统中的生物物理过程,并开发监测其动态的新方法。尽管水生和陆地生态系统在数学描述方面有很多共通之处,但它们之间还是有本质的区别。例如,海洋浮游生物的流动性主要受扩散过程控制,而陆地生物自然自然要遵守完全不同的规律。本文着重于空间非均质浮游生物群落动力学基础的过程。我们证明概念反应扩散数学模型是研究复杂的时空浮游生物动力学和浮游鱼类学步的分形特性的合适工具。

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