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On waves and distributions in population dynamics. (English) Zbl 1368.92158

Summary: 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.

MSC:

92D25 Population dynamics (general)
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