Analysis the model of co-existing of species, which competing on spatially inhomogeneous area
UDC
519.63EDN
TWTYNRAbstract
Modeling of population dynamics on the inhomogeneous area is based on a system of nonlinear parabolic equations with variable coefficients. We apply the theory cosymmetry to analyze different scenario of coexistence of populations consuming a single resource. Appearence of a continuous family of steady states is found under the some conditions on the parameters of diffusion and growth. Theoretical analysis is justified by computer simulations based on the method of lines and staggered grids scheme. The case of two populations on the one-dimensional habitat (ring) is studied numerically. It was found that after destruction of cosymmetry the family of steady states may transform to a stable configuration of coexisting species. The corresponding maps of growth parameters are presented.
Keywords:
population dynamics, nonlinear parabolic equations, cosymmetry, carrying capacity, method of linesFunding information
Исследование проводилось при финансовой поддержке РФФИ (14-01-00470).
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Dates
Submitted
May 22, 2015
Accepted
June 3, 2015
Published
June 25, 2015
How to Cite
[1]
Kruglikov, M.G., Tsybulin, V.G., Analysis the model of co-existing of species, which competing on spatially inhomogeneous area. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2015, № 2, pp. 56–64.
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Copyright (c) 2015 Кругликов М.Г., Цибулин В.Г.
This work is licensed under a Creative Commons Attribution 4.0 International License.
