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.
Citation:
G. P. Neverova, A. I. Abakumov, E. Ya. Frisman, “Dynamic modes of exploited limited population: results of modeling and numerical study”, Mat. Biolog. Bioinform., 11:1 (2016), 1–13
\Bibitem{NevAbaFri16}
\by G.~P.~Neverova, A.~I.~Abakumov, E.~Ya.~Frisman
\paper Dynamic modes of exploited limited population: results of modeling and numerical study
\jour Mat. Biolog. Bioinform.
\yr 2016
\vol 11
\issue 1
\pages 1--13
\mathnet{http://mi.mathnet.ru/mbb247}
\crossref{https://doi.org/10.17537/2016.11.1}
Linking options:
https://www.mathnet.ru/eng/mbb247
https://www.mathnet.ru/eng/mbb/v11/i1/p1
This publication is cited in the following 13 articles:
L. I. Rodina, A. V. Chernikova, “Ob optimalnoi dobyche vozobnovlyaemogo resursa na beskonechnom promezhutke vremeni”, Tr. IMM UrO RAN, 29, no. 1, 2023, 167–179
A. A. Bazulkina, “Otsenka summarnogo dokhoda s uchetom diskontirovaniya dlya veroyatnostnykh modelei dinamiki populyatsii”, Vestnik rossiiskikh universitetov. Matematika, 28:143 (2023), 217–226
M. S. Woldeab, L. I. Rodina, “About the methods of biological resourse extraction, that provide the maximum average time benefit”, Russian Math. (Iz. VUZ), 66:1 (2022), 8–18
M. S. Voldeab, L. I. Rodina, “O sposobakh dobychi vozobnovlyaemogo resursa iz strukturirovannoi populyatsii”, Vestnik rossiiskikh universitetov. Matematika, 27:137 (2022), 16–26
O. L. Revutskaya, E. Ya. Frisman, “Promyslovoe vozdeistvie na dinamiku populyatsii s vozrastnoi i polovoi strukturoi: optimalnyi ravnovesnyi promysel i effekt gidry”, Kompyuternye issledovaniya i modelirovanie, 14:5 (2022), 1107–1130
A. V. Egorova, “Optimizatsiya diskontirovannogo dokhoda dlya strukturirovannoi populyatsii, podverzhennoi promyslu”, Vestnik rossiiskikh universitetov. Matematika, 26:133 (2021), 15–25
E. Ya. Frisman, O. L. Zhdanova, M. P. Kulakov, G. P. Neverova, O. L. Revutskaya, “Mathematical modeling of population dynamics based on recurrent equations: results and prospects. Part I”, Biol. Bull, 48:1 (2021), 1–15
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
A. V. Egorova, L. I. Rodina, “Ob optimalnoi dobyche vozobnovlyaemogo resursa iz strukturirovannoi populyatsii”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 29:4 (2019), 501–517
E. Ya. Frisman, O. L. Zhdanova, A. E. Kuzin, “The outcome of northern fur seal harvesting: the results of calibration of mathematical models based on observation data (the example of tyulenii island population)”, Russ. J. Ecol., 50:2 (2019), 161–171
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
Oksana L. Zhdanova, Alexey E. Kuzin, Elena I. Skaletskaya, Efim Ya. Frisman, “Why the population of the northern fur seals ( Callorhinus ursinus ) of Tyuleniy Island does not recover following the harvest ban: Analysis of 56 years of observation data”, Ecological Modelling, 363 (2017), 57
A. I. Abakumov, Yu. G. Izrailskii, “Effekty promyslovogo vozdeistviya na rybnuyu populyatsiyu”, Matem. biologiya i bioinform., 11:2 (2016), 191–204
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