Spatial synchronization and extinction of species under external forcing

Details Spatial synchronization and extinction of species under external forcing Spatial synchronization and extinction of species under external forcing

2006-02-20

arxiv.org/abs/nlin/0602041v1

Physical Review Letters, v. 96, 258102 (2006)

Nonlinear Sciences

Chaotic Dynamics

4 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.96.258102

We study the interplay between synchronization and extinction of a species. Using a general model we show that under a common external forcing, the species with a quadratic saturation term in the population dynamics first undergoes spatial synchronization and then extinction, thereby avoiding the rescue effect. This is because the saturation term reduces the synchronization time scale but not the extinction time scale. The effect can be observed even when the external forcing acts only on some locations provided there is a synchronizing term in the dynamics. Absence of the quadratic saturation term can help the species to avoid extinction.

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