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      Analytical Solution of Metapopulation Dynamics in Stochastic Environment

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          Abstract

          We study a stochastic linear discrete metapolulation model to understand the effect of risk spreading by dispersion. We calculate analytically the stable distribution of populations that live in different habitats. The result shows that the simultaneous distribution of the populations has a complicated self-similar structure, but a population at each habitat follows a log-normal distribution.

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          Author and article information

          Journal
          2012-07-19
          2012-09-03
          Article
          10.1103/PhysRevE.86.045102
          1207.4618
          1475a5ca-5611-4488-b8be-1f6ddbbb649f

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

          History
          Custom metadata
          Physical Review E 86, 045102R (2012)
          Latex file, 10 pages, 3 figures
          q-bio.PE physics.soc-ph

          Evolutionary Biology,General physics
          Evolutionary Biology, General physics

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