Matvey P. Kulakov, Galina P. Neverova, Efim Ya. Frisman, “Multistability in dynamic models of migration coupled populations with an age structure”, Nelin. Dinam., 10:4 (2014), 407

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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]

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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2014, Volume 10, Number 4, Pages 407–425 (Mi nd453)

This article is cited in 9 scientific papers (total in 9 papers)

Multistability in dynamic models of migration coupled populations with an age structure

Matvey P. Kulakov, Galina P. Neverova, Efim Ya. Frisman

Institute for Complex Analysis of Regional Problems, Far Eastern Branch of RAS, Sholom-Aleikhem 4, Birobidzhan, 679016, Russia

Full-text PDF (975 kB) Citations (9)

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Abstract: This article researches model of two coupled an age structured populations. The model consists of two identical two-dimensional maps demonstrating the Neimark–Sacker and period-doubling bifurcations. The “bistability” of dynamic modes is found which is expressed in a co-existence the nontrivial fixed point and periodic points (stable 3-cycle). The mechanism of loss stability and formation of complex hierarchy for multistable states are investigated.

Keywords: metapopulation, multistability, maps, synchronization, basin of attraction.

Received: 29.04.2014
Revised: 23.10.2014

Document Type: Article

UDC: 517.9, 574.34

MSC: 37G35

Language: Russian

Citation: Matvey P. Kulakov, Galina P. Neverova, Efim Ya. Frisman, “Multistability in dynamic models of migration coupled populations with an age structure”, Nelin. Dinam., 10:4 (2014), 407–425

Citation in format AMSBIB

\Bibitem{KulNevFri14}

\by Matvey~P.~Kulakov, Galina~P.~Neverova, Efim~Ya.~Frisman

\paper Multistability in dynamic models of migration coupled populations with an age structure

\jour Nelin. Dinam.

\yr 2014

\vol 10

\issue 4

\pages 407--425

\mathnet{http://mi.mathnet.ru/nd453}

Linking options:

https://www.mathnet.ru/eng/nd453

https://www.mathnet.ru/eng/nd/v10/i4/p407

This publication is cited in the following 9 articles:

Frisman E.Ya. Zhdanova O.L. Kulakov M.P. Neverova G.P. Revutskaya O.L., “Mathematical Modeling of Population Dynamics Based on Recurrent Equations: Results and Prospects. Part II”, Biol. Bull, 48:3 (2021), 239–250
Kulakov M.P. Frisman E.Ya., “Approaches to Study of Multistability in Spatio-Temporal Dynamics of Two-Age Population”, Izv. Vyss. Uchebn. Zaved.-Prikl. Nelineynaya Din., 28:6 (2020), 653–678
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
M. P. Kulakov, E. Ya. Frisman, “Modelirovanie prostranstvenno-vremennoi dinamiki populyatsii s vozrastnoi strukturoi i dalnodeistvuyuschimi vzaimodeistviyami: sinkhronizatsiya i klasterizatsiya”, Matem. biologiya i bioinform., 14:1 (2019), 1–18
M. P. Kulakov, E. Ya. Frisman, “Klasterizatsiya i khimery v modeli prostranstvenno-vremennoi dinamiki populyatsii s vozrastnoi strukturoi”, Nelineinaya dinam., 14:1 (2018), 13–31
K. V. Shlyufman, G. P. Neverova, E. Ya. Frisman, “Fazovaya multistabilnost kolebatelnykh rezhimov dinamiki modeli Rikera s periodicheski izmenyayuschimsya maltuzianskim parametrom”, Matem. biologiya i bioinform., 13:1 (2018), 68–83
M. Yu. Khavinson, M. P. Kulakov, “Gravitational model of population dynamics”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 10:3 (2017), 80–93
M. Yu. Khavinson, M. P. Kulakov, E. Ya. Frisman, “Matematicheskoe modelirovanie dinamiki chislennosti vozrastnykh grupp zanyatykh na primere yuzhnykh regionov Dalnego Vostoka Rossii”, Kompyuternye issledovaniya i modelirovanie, 8:5 (2016), 787–801
G. P. Neverova, E. Ya. Frisman, “Matematicheskoe modelirovanie dinamiki lokalnykh odnorodnykh populyatsii s uchetom effektov zapazdyvaniya”, Matem. biologiya i bioinform., 10:2 (2015), 309–324

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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