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. 2013 Aug 26;8(8):e72086. doi: 10.1371/journal.pone.0072086

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© 2013 Lavine et al

This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are properly credited.

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(A) The basins of attraction were computed using the maximum-likelihood estimates of parameters, but with a low birth rate of /yr. Blue corresponds to a 5-yr cycle, green to a 4-yr cycle, and pink to the annual attractor. (B) Simulations from the same model and parameters but with a realistic birth rate of /yr. Initial conditions that lead to oscillations with transiently increasing amplitude are indicated in yellow; blue indicates oscillations of steadily decreasing amplitude. Two example time series (from points labeled `a’ and `b’ are shown at right.

Inline graphic — (A) The basins of attraction were computed using the maximum-likelihood estimates of parameters, but with a low birth rate of /yr. Blue corresponds to a 5-yr cycle, green to a 4-yr cycle, and pink to the annual attractor. (B) Simulations from the same model and parameters but with a realistic birth rate of /yr. Initial conditions that lead to oscillations with transiently increasing amplitude are indicated in yellow; blue indicates oscillations of steadily decreasing amplitude. Two example time series (from points labeled `a’ and `b’ are shown at right.