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Universal properties of population dynamics with fluctuating resources

Author

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  • Mukherjee, Sayak
  • Janssen, H.K.
  • Schmittmann, B.

Abstract

Starting from the well-known field theory for directed percolation (DP), we describe an evolving population, near extinction, in an environment with its own nontrivial spatio-temporal dynamics. Here, we consider the special case where the environment follows a simple relaxational (Model A) dynamics. Two new operators emerge, with upper critical dimension of four, which couple the two theories in a nontrivial way. While the Wilson–Fisher fixed point remains completely unaffected, a mismatch of time scales destabilizes the usual DP fixed point, suggesting a crossover to a first-order transition from the active (surviving) to the inactive (extinct) state.

Suggested Citation

  • Mukherjee, Sayak & Janssen, H.K. & Schmittmann, B., 2007. "Universal properties of population dynamics with fluctuating resources," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 384(1), pages 80-82.
    • Handle: RePEc:eee:phsmap:v:384:y:2007:i:1:p:80-82
    DOI: 10.1016/j.physa.2007.04.071
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    Cited by:

    1. Ponosov, Arcady & Idels, Lev & Kadiev, Ramazan, 2020. "Stochastic McKendrick–Von Foerster models with applications," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 537(C).

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