Emergence of spatiotemporal chaos arising from far-field breakup of spiral waves in the plankton ecological systems

作者：Liu Quan-Xing; Sun Gui-Quan; Jin Zhen^*; Li Bai-Lian

来源：Chinese Physics B, 2009, 18(2): 506-515.

DOI：10.1088/1674-1056/18/2/021

• reaction-diffusion systems
• travelling wave
• bifurcation

It has been reported that the minimal spatially extended phytoplankton-zooplankton system exhibits both temporal regular/chaotic behaviour, and spatiotemporal chaos in a patchy environment. As a further investigation by means of computer simulations and theoretical analysis, in this paper we observe that the spiral waves may exist and the spatiotemporal chaos emerge when the parameters are within the mixed Turing Hopf bifurcation region, which arises from the far-field breakup of the spiral waves over a large range of diffusion coefficients of phytoplankton and zooplankton. Moreover, the spatiotemporal chaos arising from the far-field breakup of spiral waves does not gradually invade the whole space of that region. Our results are confirmed by nonlinear bifurcation of wave trains. We also discuss ecological implications of these spatially structured patterns.

• 出版日期2009-2
• 单位中北大学