Population dynamics in a random environment

Irene Giardina, Jean-Philippe Bouchaud and Marc Mezard
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Jean-Philippe Bouchaud: Science & Finance, Capital Fund Management
Marc Mezard: Universite Paris Sud (Orsay)

No 500025, Science & Finance (CFM) working paper archive from Science & Finance, Capital Fund Management

Abstract: We investigate the competition between barrier slowing down and proliferation induced superdiffusion in a model of population dynamics in a random force field. A one-loop RG analysis close to the critical dimension d_c=2 predicts a second order phase transition between a subdiffusive regime and a superdiffusive regime, at variance with our numerical results in d=1 which suggest that a new stable mixed fixed point appears. We introduce the idea of proliferation assisted barrier crossing and give a Flory like argument to understand qualitatively the observed diffusive behaviour at this mixed fixed point.

JEL-codes: G10 (search for similar items in EconPapers)
Date: 2000-05
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Forthcoming in Physical Review Letters

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Persistent link: http://EconPapers.repec.org/RePEc:sfi:sfiwpa:500025

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