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Phys. Rev. Lett. 96, 258102 (2006) [4 pages]

Spatially Synchronous Extinction of Species under External Forcing

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R. E. Amritkar*
Physical Research Laboratory, Navrangapura, Ahmedabad - 380009, India

Govindan Rangarajan
Department of Mathematics, Indian Institute of Science, Bangalore - 560 012, India

Received 5 July 2005; revised 21 February 2006; published 29 June 2006

More than 99% of the species that ever existed on the surface of the Earth are now extinct and their extinction on a global scale has been a puzzle. One may think that a species under an external threat may survive in some isolated locations leading to the revival of the species. Using a general model we show that, under a common external forcing, the species with a quadratic saturation term first undergoes spatial synchronization and then extinction. The effect can be observed even when the external forcing acts only on some locations provided the dynamics contains a synchronizing term. Absence of the quadratic saturation term can help the species to avoid extinction.

© 2006 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.96.258102
DOI:
10.1103/PhysRevLett.96.258102
PACS:
87.23.Cc, 05.45.Xt

*Electronic address: amritkar@prl.ernet.in

Electronic address: rangaraj@math.iisc.ernet.in