Literature DB >> 7708678

Ecological chaos in the wake of invasion.

J A Sherratt1, M A Lewis, A C Fowler.   

Abstract

Irregularities in observed population densities have traditionally been attributed to discretization of the underlying dynamics. We propose an alternative explanation by demonstrating the evolution of spatiotemporal chaos in reaction-diffusion models for predator-prey interactions. The chaos is generated naturally in the wake of invasive waves of predators. We discuss in detail the mechanism by which the chaos is generated. By considering a mathematical caricature of the predator-prey models, we go on to explain the dynamical origin of the irregular behavior and to justify our assertion that the behavior we present is a genuine example of spatiotemporal chaos.

Mesh：

Year:  1995        PMID： 7708678      PMCID： PMC42250          DOI： 10.1073/pnas.92.7.2524

Source DB:  PubMed          Journal:  Proc Natl Acad Sci U S A        ISSN： 0027-8424            Impact factor:   11.205


  3 in total

1.  Discrete-time travelling waves: ecological examples.

Authors:  M Kot
Journal:  J Math Biol       Date:  1992       Impact factor: 2.259

2.  A massively parallel computer model of propagation through a two-dimensional cardiac syncytium.

Authors:  M G Fishler; N V Thakor
Journal:  Pacing Clin Electrophysiol       Date:  1991-11       Impact factor: 1.976

3.  Can nonlinear dynamics elucidate mechanisms in ecology and epidemiology?

Authors:  W M Schaffer
Journal:  IMA J Math Appl Med Biol       Date:  1985
  3 in total
  16 in total

Review 1.  Biological factors underlying regularity and chaos in aquatic ecosystems: simple models of complex dynamics.

Authors:  A B Medvinsky; S V Petrovskii; D A Tikhonov; I A Tikhonova; G R Ivanitsky; H Malchow
Journal:  J Biosci       Date:  2001-03       Impact factor: 1.826

2.  Bifurcations and chaos in a predator-prey system with the Allee effect.

Authors:  Andrew Morozov; Sergei Petrovskii; Bai-Lian Li
Journal:  Proc Biol Sci       Date:  2004-07-07       Impact factor: 5.349

3.  Disease induced dynamics in host-parasitoid systems: chaos and coexistence.

Authors:  Katharine F Preedy; Pietà G Schofield; Mark A J Chaplain; Stephen F Hubbard
Journal:  J R Soc Interface       Date:  2007-06-22       Impact factor: 4.118

4.  Chemotaxis-induced spatio-temporal heterogeneity in multi-species host-parasitoid systems.

Authors:  Ian G Pearce; Mark A J Chaplain; Pietà G Schofield; Alexander R A Anderson; Stephen F Hubbard
Journal:  J Math Biol       Date:  2007-04-14       Impact factor: 2.259

Review 5.  Periodic travelling waves in cyclic populations: field studies and reaction-diffusion models.

Authors:  Jonathan A Sherratt; Matthew J Smith
Journal:  J R Soc Interface       Date:  2008-05-06       Impact factor: 4.118

6.  Locating the transition from periodic oscillations to spatiotemporal chaos in the wake of invasion.

Authors:  Jonathan A Sherratt; Matthew J Smith; Jens D M Rademacher
Journal:  Proc Natl Acad Sci U S A       Date:  2009-06-24       Impact factor: 11.205

7.  Pattern formation in a spatial plant-wrack model with tide effect on the wrack.

Authors:  Gui-Quan Sun; Li Li; Zhen Jin; Bai-Lian Li
Journal:  J Biol Phys       Date:  2009-06-30       Impact factor: 1.365

8.  The role of noise in a predator-prey model with Allee effect.

Authors:  Gui-Quan Sun; Zhen Jin; Li Li; Quan-Xing Liu
Journal:  J Biol Phys       Date:  2009-03-04       Impact factor: 1.365

9.  Challenges of ecological monitoring: estimating population abundance from sparse trap counts.

Authors:  Natalia Petrovskaya; Sergei Petrovskii; Archie K Murchie
Journal:  J R Soc Interface       Date:  2011-08-10       Impact factor: 4.118

10.  Cyclic competition of mobile species on continuous space: pattern formation and coexistence.

Authors:  Xuan Ni; Wen-Xu Wang; Ying-Cheng Lai; Celso Grebogi
Journal:  Phys Rev E Stat Nonlin Soft Matter Phys       Date:  2010-12-23
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