Email this article Manifestation of multimodality in a simple ecological-genetic model of population evolution
- Authors: Zhdanova O.L.1,2, Frisman E.Y.3
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Affiliations:
- Institute for Automation and Control Processes, Far East Branch
- Department of Mathematical Methods in Economics
- Institute of Complex Analysis of Regional Problems, Far East Branch
- Issue: Vol 52, No 8 (2016)
- Pages: 868-876
- Section: Mathematical Models and Methods
- URL: https://journal-vniispk.ru/1022-7954/article/view/187851
- DOI: https://doi.org/10.1134/S1022795416080159
- ID: 187851
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Abstract
An investigation of the nature of dynamics of the population size and genetic structure is carried out for a homogeneous ecologically limited population influenced by density-dependent r-K selection in a single diallelic genetic locus. The detailed study of the results of basic types of natural selection is carried out with additional consideration of the influence of initial conditions. It is shown that coexistence of several different asymptotic dynamic modes (with their own attraction basins) is possible in numerous enough parametric domains which are meaningful biologically.
About the authors
O. L. Zhdanova
Institute for Automation and Control Processes, Far East Branch; Department of Mathematical Methods in Economics
Author for correspondence.
Email: axanka@iacp.dvo.ru
Russian Federation, Vladivostok, 690041; Vladivostok, 690950
E. Ya. Frisman
Institute of Complex Analysis of Regional Problems, Far East Branch
Email: axanka@iacp.dvo.ru
Russian Federation, Birobidzhan, 679016
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