Publication: Stochastic Skellam model
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Coadvisor
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Undergraduate course
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Publisher
Elsevier B.V.
Type
Article
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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 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. (C) 2009 Elsevier B.V. All rights reserved.
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Keywords
Population dynamics, Fisher-Kolmogorov-Petrovski-Piskunov equation, Fragmentation, Spatial stochasticity, Reaction-diffusion
Language
English
Citation
Physica A-statistical Mechanics and Its Applications. Amsterdam: Elsevier B.V., v. 389, n. 1, p. 60-66, 2010.
