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JOURNALS // Matematicheskaya Biologiya i Bioinformatika // Archive

Mat. Biolog. Bioinform., 2016 Volume 11, Issue 1, Pages 1–13 (Mi mbb247)

This article is cited in 13 papers

Mathematical Modeling

Dynamic modes of exploited limited population: results of modeling and numerical study

G. P. Neverovaa, A. I. Abakumovbc, E. Ya. Frismana

a Institute for complex analysis of regional problems of the Russian Academy of Sciences, Far Eastern branch (ICARP FEB RAS), Birobidzhan, Russia
b Institute of Automation and Control Processes of the Russian Academy of Sciences, Far Eastern branch (IAÑP FEB RAS), Vladivostok, Russia
c Far Eastern Federal University, Vladivostok, Russia

Abstract: The paper investigates the model of population dynamics with age structure and density dependence of birth rate. We consider two situations: 1) the population develops freely and 2) the population is exploited. It was shown that harvesting leads to the stabilization of the dynamics. There is multiregimism, i.e. different dynamic regimes are possible with the same values of demographic parameters. It is shown that even a single harvesting in the current population size could lead to a change of the observed dynamic regime.

Key words: population dynamics, density dependence, harvesting, mathematical modeling, multiregimism, basins of attraction.

UDC: 51-7: 574.34

Received 18.09.2015, Published 27.01.2016

DOI: 10.17537/2016.11.1



© Steklov Math. Inst. of RAS, 2024