On Waves and Distributions in Population Dynamics

Nikolay Kolev Vitanov, Zlatinka Ivanova Dimitrova

Abstract


We discuss dynamics of spatially distributed interacting populations. The following two cases are discussed: (I.) migration waves for the case or negligible random fluctuations of the populations densities and (II.) probability distributions of the spatially averaged populations densities for the case of
significant random fluctuations of these densities. For each of the cases we obtain in general a system of differential equations that is treated analytically (when possible) or numerically. The obtained results are discussed from the point of view of
population dynamics.

Keywords


population dynamics; interacting populations; nonlinear partial differential equations; fluctuations; Fokker-Planck equation

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DOI: http://dx.doi.org/10.11145/j.biomath.2012.09.253

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ISSN 1314-7218 (online)
ISSN 1314-684X (print)

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