Stochastic Skellam model

R.A. Kraenkel and D.J. Pamplona da Silva

Physica A: Statistical Mechanics and its Applications, 2010, vol. 389, issue 1, 60-66

Abstract: We consider the dynamics of a biological population described by the Fisher–Kolmogorov–Petrovskii–Piskunov (FKPP) equation in the case where the spatial domain consists of alternating favorable and adverse patches whose sizes are distributed randomly. For the one-dimensional case we define a stochastic analogue of the classical critical patch size. We address the issue of persistence of a population and we show that the minimum fraction of the length of favorable segments to the total length is always smaller in the stochastic case than in a periodic arrangement. In this sense, spatial stochasticity favors viability of a population.

Keywords: Population dynamics; Fisher–Kolmogorov–Petrovski–Piskunov equation; Fragmentation; Spatial stochasticity; Reaction–diffusion (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:389:y:2010:i:1:p:60-66

DOI: 10.1016/j.physa.2009.09.023

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