Abstract:
It is researched a model of limited homogeneous population size. It is assumed that there is delayed density dependence. It is made the analytical and numerical investigation of the model with different time lag. It is shown there it is the phenomenon of multiregimism. This phenomenon consists in the existence of various dynamic regimes under the same values of parameters. This effect arises in the model that simultaneously possesses several different limit regimes: stable state, regular fluctuations, and chaotic attractor. The research results show if present population dynamics substantially depends on population size of previous years than it is observed quasi-periodic oscillations. Fluctuations with period 2 occur when the growth of population size is regulated by density-dependence in the current year.
Key words:
population dynamics, delayed density dependence, mathematical modeling, multiregimism, basins of attraction, dynamics of larch bud moth (Zeiraphera diniana Gn.).
Citation:
G. P. Neverova, E. Ya. Frisman, “Dynamic regimes of local homogeneous population with delayed density dependence”, Mat. Biolog. Bioinform., 10:2 (2015), 309–324
\Bibitem{NevFri15}
\by G.~P.~Neverova, E.~Ya.~Frisman
\paper Dynamic regimes of local homogeneous population with delayed density dependence
\jour Mat. Biolog. Bioinform.
\yr 2015
\vol 10
\issue 2
\pages 309--324
\mathnet{http://mi.mathnet.ru/mbb228}
\crossref{https://doi.org/10.17537/2015.10.309}
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https://www.mathnet.ru/eng/mbb228
https://www.mathnet.ru/eng/mbb/v10/i2/p309
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Z. Eskandari, J. Alidousti, Z. Avazzadeh, “Rich Dynamics of Discrete Time-Delayed Moran-Ricker Model”, Qual. Theory Dyn. Syst., 22:3 (2023)
G. P. Neverova, E. Ya. Frisman, “Analysis and Forecast of the Zeirapheragriseana Dynamics Using the Delayed Moran-Ricker Model: the Impact of the Training Sample on Forecast Quality”, Lesovedenie, 2023, no. 2, 190
L. S. Ibragimova, M. G. Yumagulov, A. R. Ishbirdin, M. M. Ishmuratova, “Matematicheskoe modelirovanie dinamiki chislennosti biologicheskoi populyatsii pri izmenyayuschikhsya vneshnikh usloviyakh na primere burzyanskoi bortevoi pchely (Apis mellifera L., 1758)”, Matem. biologiya i bioinform., 12:1 (2017), 224–236
Tamara M. Khlebodarova, Vladislav V. Kogai, Stanislav I. Fadeev, Vitaly A. Likhoshvai, “Chaos and hyperchaos in simple gene network with negative feedback and time delays”, J. Bioinform. Comput. Biol., 15:02 (2017), 1650042
Vitaly A. Likhoshvai, Vladislav V. Kogai, Stanislav I. Fadeev, Tamara M. Khlebodarova, “Chaos and Hyperchaos in a Model of Ribosome Autocatalytic Synthesis”, Sci Rep, 6:1 (2016)
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