Abstract:
Fishery is one of the main environmental factors affecting fish population. In this paper we study the dynamics of population’s dimensional distribution under the influence of environmental variations with and without a fishery impact. The characteristics of population under consideration correspond to pelagic or semi-pelagic population, such as the populations of pollack (Theragra chalcogramma) inhabiting the northern seas of Pacific Ocean. To study the effect of fishery upon a population the problem of harvesting optimization with the amount of profit for a given time period as a criterion function is solved. The impact of population replenishment on the population and catch dynamics was studied and the smoothing influence of dimensional structure on the changes of environment and fishery was revealed. The seasonal changes of environment only increase the population stability.
\Bibitem{AbaIzr16}
\by A.~I.~Abakumov, Yu.~G.~Izrailsky
\paper The harvesting effect on a fish population
\jour Mat. Biolog. Bioinform.
\yr 2016
\vol 11
\issue 2
\pages 191--204
\mathnet{http://mi.mathnet.ru/mbb256}
\crossref{https://doi.org/10.17537/2016.11.191}
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This publication is cited in the following 15 articles:
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G. P. Neverova, O. L. Zhdanova, E. Ya. Frisman, “Dinamicheskie rezhimy strukturirovannogo soobschestva “khischnik – zhertva” i ikh izmenenie v rezultate antropogennogo iz'yatiya osobei”, Matem. biologiya i bioinform., 15:1 (2020), 73–92
G. P. Neverova, O. L. Zhdanova, E. Ya. Frisman, “Dynamics of predator-prey community with age structures and its changing due to harvesting”, Matem. biologiya i bioinform., 15, Suppl. (2020), 35–51
E. Ya. Frisman, M. P. Kulakov, O. L. Revutskaya, O. L. Zhdanova, G. P. Neverova, “Osnovnye napravleniya i obzor sovremennogo sostoyaniya issledovanii dinamiki strukturirovannykh i vzaimodeistvuyuschikh populyatsii”, Kompyuternye issledovaniya i modelirovanie, 11:1 (2019), 119–151
O. L. Revutskaya, G. P. Neverova, E. Ya. Frisman, “Vliyanie promyslovogo iz'yatiya na dinamiku populyatsii s vozrastnoi i polovoi strukturoi”, Matem. biologiya i bioinform., 13:1 (2018), 270–289
G. P. Neverova, A. I. Abakumov, I. P. Yarovenko, E. Ya. Frisman, “Mode change in the dynamics of exploited limited population with age structure”, Nonlinear Dyn, 94:2 (2018), 827
O.L. Revutskaya, G.P. Neverova, E.Ya. Frisman, Proceedings of the International Conference “Mathematical Biology and Bioinformatics”, 7, Proceedings of the International Conference “Mathematical Biology and Bioinformatics”, 2018
G.P. Neverova, E.Ya. Frisman, Proceedings of the International Conference “Mathematical Biology and Bioinformatics”, 7, Proceedings of the International Conference “Mathematical Biology and Bioinformatics”, 2018
A. I. Abakumov, Yu. G. Izrailskii, “Stabiliziruyuschaya rol struktury rybnoi populyatsii v usloviyakh promysla pri sluchainykh vozdeistviyakh sredy obitaniya”, Kompyuternye issledovaniya i modelirovanie, 9:4 (2017), 609–620
G. P. Neverova, A. I. Abakumov, E. Ya. Frisman, “Rezhimy dinamiki limitirovannoi strukturirovannoi populyatsii pri izbiratelnom promysle”, Matem. biologiya i bioinform., 12:2 (2017), 327–342
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