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

Ranjit Kumar Upadhyay, Nitu Kumari and Vikas Rai

Chaos, Solitons & Fractals, 2009, vol. 40, issue 1, 262-276

Abstract: 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.

Date: 2009
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:40:y:2009:i:1:p:262-276

DOI: 10.1016/j.chaos.2007.07.078

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