Phase switching in population cycles
TLDR
In this paper, 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, which accounts for two-cycle phase shifts and the occurrence of asynchronous replicates in experimental cultures of Tribolium.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 .read more
Citations
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Dynamics of measles epidemics: scaling noise, determinism, and predictability with the tsir model
TL;DR: In this paper, the authors used the TSIR model to predict the long-term dynamics of measles and the balance between noise and determinism, as a function of population size.
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1200 years of regular outbreaks in alpine insects
TL;DR: The long-term history of Zeiraphera diniana Gn.
Journal ArticleDOI
Estimating chaos and complex dynamics in an insect population
TL;DR: In this article, a model- predicted sequence of transitions (bifurcations) in the dynamic behavior of a population from stable equilibria to quasiperiodic and periodic cycles to chaos to three-cycles using cultures of the flour beetle Tribolium.
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Analysing multiple time series and extending significance testing in wavelet analysis
TL;DR: This work used 1/ƒ β models to test cycles in the wavelet spectrum against a null hypothesis that takes into account the highly autocorrelated nature of ecological time series and used the maximum covariance analysis to compare the time-frequency patterns of numerous time series.
Book ChapterDOI
Metapopulation Dynamics of Infectious Diseases
TL;DR: Two main topics are explored: the analogies between the disciplines of ecology and epidemiology at the metapopulation level, and how the metAPopulation theory can help understand the epidemiological dynamics.
References
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Density dependence in time series observations of natural populations: estimation and testing'
Brian Dennis,Mark L. Taper +1 more
TL;DR: In this article, a new statistical test for detecting density dependence in uni-varying time series observations of population abundances is proposed, which is a likelihood ratio test based on a discrete time stochastic logistic model.
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Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
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Chaotic Dynamics in an Insect Population
TL;DR: A nonlinear demographic model was used to predict the population dynamics of the flour beetle Tribolium under laboratory conditions and to establish the experimental protocol that would reveal chaotic behavior.
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The Struggle for Existence
TL;DR: For three-quarters of a century past more has been written about natural selection and the struggle for existence that underlies the selective process, than perhaps about any other single idea in the whole realm of Biology as discussed by the authors.