On Waves and Distributions in Population Dynamics

Authors

  • Nikolay Kolev Vitanov Institute of Mechanics Bulgarian Academy of Sciences
  • Zlatinka Ivanova Dimitrova "G. Nadjakov" Institute of Solid State Physics Bulgarian Academy of Sciences

DOI:

https://doi.org/10.11145/j.biomath.2012.09.253

Keywords:

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

Abstract

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

Author Biographies

Nikolay Kolev Vitanov, Institute of Mechanics Bulgarian Academy of Sciences

Full Professor

Department of Fluid Mechanics

В 

Zlatinka Ivanova Dimitrova, "G. Nadjakov" Institute of Solid State Physics Bulgarian Academy of Sciences

Associated Professor

Department of Crystal Growth

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Published

2012-09-28

Issue

Vol. 1 No. 1 (2012)

Section

Original Articles

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