Phase switching in population cycles

1998/11/22 by S. M. Henson, Shandelle M. Henson, J. M. Cushing +5 · 3 citations
Computer Science · Mathematics · Biochemistry, Genetics and Molecular Biology · #Nonlinear Dynamics and Pattern Formation #Stochastic processes and statistical mechanics #Evolution and Genetic Dynamics

paper · doi:10.1098/rspb.1998.0564

Abstract

Oscillatory populations may exhibit a phase change in which, for example, a high–low periodic pattern switches to a low–high pattern. We propose that phase shifts correspond to stochastic jumps between basins of attraction in an appropriate phase space which associates the different phases of a periodic cycle with distinct attractors. This mechanism accounts for two-cycle phase shifts and the occurrence of asynchronous replicates in experimental cultures of Tribolium.

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