Wave of chaos in a diffusive system: Generating realistic patterns of patchiness in plankton–fish dynamics

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• 作者：Ranjit Kumar Upadhyay ; Nitu Kumari ; Vikas Rai
• 刊名：Chaos, Solitons and Fractals
• 出版年：2009
• 出版时间：15 April 2009
• 年：2009
• 卷：40
• 期：1
• 页码：262-276
• 全文大小：3893 K

文摘

We show that wave of chaos (WOC) can generate two-dimensional time-independent spatial patterns which can be a potential candidate for understanding planktonic patchiness observed in marine environments. These spatio-temporal patterns were obtained in computer simulations of a minimal model of phytoplankton–zooplankton dynamics driven by forces of diffusion. We also attempt to figure out the average lifetimes of these non-linear non-equilibrium patterns. These spatial patterns serve as a realistic model for patchiness found in aquatic systems (e.g., marine and oceanic). Additionally, spatio-temporal chaos produced by bi-directional WOCs is robust to changes in key parameters of the system; e.g., intra-specific competition among individuals of phytoplankton and the rate of fish predation. The ideas contained in the present paper may find applications in diverse fields of human endeavor.