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

(整期优先)网络出版时间:2009-02-12
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Ithasbeenreportedthattheminimalspatiallyextendedphytoplankton-zooplanktonsystemexhibitsbothtemporalregular/chaoticbehaviour,andspatiotemporalchaosinapatchyenvironment.Asafurtherinvestigationbymeansofcomputersimulationsandtheoreticalanalysis,inthispaperweobservethatthespiralwavesmayexistandthespatiotemporalchaosemergewhentheparametersarewithinthemixedTuring-Hopfbifurcationregion,whicharisesfromthefar-fieldbreakupofthespiralwavesoveralargerangeofdiffusioncoefficientsofphytoplanktonandzooplankton.Moreover,thespatiotemporalchaosarisingfromthefar-fieldbreakupofspiralwavesdoesnotgraduallyinvadethewholespaceofthatregion.Ourresultsareconfirmedbynonlinearbifurcationofwavetrains.Wealsodiscussecologicalimplicationsofthesespatiallystructuredpatterns.