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Fundamental model equations
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Cycles, Phase Analysis, and Synchronization in Ecological Populations - A Tale of Population Dynamics
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- 1 Intro
- 2 Population oscillations in ecology
- 3 Phase synchronization in the hare-lynx cycle
- 4 Time series of lynx abundance in different Canadian regions
- 5 A simple tri-trophic population model with UPCA
- 6 Extracting phase evolution from time series
- 7 Coupled predator-prey models
- 8 self-sustained oscillations in single population
- 9 Basic mathematical model of a chemostat
- 10 Synchronization experiment
- 11 Modelling a size-structured population
- 12 Population cycle of Antarctic krill
- 13 Fundamental model equations
- 14 Long-term cyclic persistence in a laboratory predator-prey cycle
- 15 Measurement result: extraordinary long time series
- 16 Wavelet power spectrum of prey and predator
- 17 Wavelet cross spectrum of prey and predator
- 18 Wavelet coherence
- 19 Extraction of phase relationships
- 20 A signature for cyclic succession