Desynchronization and sustainability of noisy metapopulation cycles

Details Desynchronization and sustainability of noisy metapopulation cycles Desynchronization and sustainability of noisy metapopulation cycles

2007-01-20

arxiv.org/abs/q-bio/0701032v1

Biology

Quantitative Biology

Populations and Evolution

Scientific paper

The apparent stability of population oscillations in ecological systems is a long-standing puzzle. A generic solution for this problem is suggested here. The stabilizing mechanism involves the combined effect of spatial migration, amplitude-dependent frequency, and noise: small differences between spatial patches, induced by the noise, are amplified by the frequency gradient. Migration among desynchronized regions then stabilizes the oscillations in the vicinity of the homogenous manifold. A simple model of diffusively coupled oscillators allows the derivation of quantitative results, like the dependence of the desynchronization upon diffusion strength and frequency differences. For an unstable system, a noise-induced transition is demonstrated, from extinction for small noise to stability if the noise exceeds some threshold. The coupled oscillator model is shown to reproduce all previously suggested stabilizing mechanisms. Accordingly, we suggest using this model as a standard tool for identification and classification of population oscillations on spatial domains.

Affiliated with

Also associated with

No associations

Rating

Desynchronization and sustainability of noisy metapopulation cycles does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Desynchronization and sustainability of noisy metapopulation cycles, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Desynchronization and sustainability of noisy metapopulation cycles will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-651998