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Population dynamics in a random environment

Author

Listed:
  • Irene Giardina
  • Jean-Philippe Bouchaud

    (Science & Finance, Capital Fund Management
    CEA Saclay;)

  • Marc Mezard

    (Universite Paris Sud (Orsay))

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.

Suggested Citation

  • Irene Giardina & Jean-Philippe Bouchaud & Marc Mezard, 2000. "Population dynamics in a random environment," Science & Finance (CFM) working paper archive 500025, Science & Finance, Capital Fund Management.
    • Handle: RePEc:sfi:sfiwpa:500025
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    Cited by:

    1. Jean-Philippe Bouchaud, 2000. "Power-laws in economics and finance: some ideas from physics," Science & Finance (CFM) working paper archive 500023, Science & Finance, Capital Fund Management.

    More about this item

    JEL classification:

    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)

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