Universal properties of population dynamics with fluctuating resources

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

Physica A: Statistical Mechanics and its Applications, 2007, vol. 384, issue 1, 80-82

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.

Keywords: Renormalization group; Population dynamics; Directed percolation; Ecology (search for similar items in EconPapers)
Date: 2007
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:384:y:2007:i:1:p:80-82

DOI: 10.1016/j.physa.2007.04.071

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