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.
Journal ArticleDOI
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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Nonlinear demographic dynamics: mathematical models, statistical methods, and biological experiments'
TL;DR: This study documents the nonlinear prediction of periodic 2-cycles in laboratory cultures of Tribolium and represents a new interdisciplinary approach to un- derstanding nonlinear ecological dynamics.
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Experimentally induced transitions in the dynamic behaviour of insect populations
TL;DR: A simple model describing population growth in the flour beetle Tribolium was developed and it was predicted that changes in adult mortality would produce substantial shifts in population dynamic behaviour, and changes in the dynamics from stable fixed points to periodic cycles to aperiodic oscillations were observed.
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Transitions in population dynamics: Equilibria to periodic cycles to aperiodic cycles
TL;DR: The rigorous statistical verification of the predicted shifts in dynamical behaviour provides convincing evidence for the relevance of nonlinear mathematics in population biology.
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The effect of periodic habitat fluctuations on a nonlinear insect population model
TL;DR: These integrated theoretical and experimental results provide the first convincing example illustrating the possibility of increased population numbers in a periodically fluctuating environment.