Basins of attraction: Population dynamics with two stable 4-cycles

Shandelle M. Henson, R. F. Costantino, Robert A. Desharnais, J. M. Cushing, Brian Dennis

Research output: Contribution to journalArticlepeer-review

18 Scopus citations


We use the concepts of composite maps, basins of attraction, basin switching, and saddle fly-by's to make the ecological hypothesis of the existence of multiple attractors more accessible to experimental scrutiny. Specifically, in a periodically forced insect population growth model we identify multiple attractors, namely, two locally stable 4-cycles. Using the model-predicted basins of attraction, we examine data time series from a Tribolium experiment for evidence of the multiple attractors. We conclude that the multiple attractor hypothesis together with demographic stochasticity accounts for the experimental observations.

Original languageEnglish (US)
Pages (from-to)17-24
Number of pages8
Issue number1
StatePublished - 2002

ASJC Scopus subject areas

  • Ecology, Evolution, Behavior and Systematics


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