SYNCHRONIZATION OF SLOW-FAST DYNAMICS OF COMMUNITIES COUPLED BY MIGRATION

E.V. Kurilova, M.P. Kulakov

Аннотация


The article is devoted to the study of periodic and quasiperiodic dynamic regimes in the population model of two “predator-prey” communities coupled by migration. The non-identity of the considered communities leads to the formation of space-time regimes that include alternating periods of burst and tonic dynamics with different degrees of synchronization at certain intervals.


Ключевые слова


predator-prey; migration; synchronization; burst and tonic dynamics.

Литература


Kulakov M.P., Kurilova E.V. Frisman E.Ya. Synchronization and Bursting Activity in the Model for Two Predator-Prey Systems Coupled By Predator Migration. Matematicheskaya biologiya i bioinformatika, 2019, vol. 14, no. 2, pp. 588–611. DOI: 10.17537/2019.14.588. (In Russ.).

Kurilova E.V., Kulakov M.P. Quasi-Periodic Dynamics in a Model of “Predator-Prey” Communities Coupled By Migration. Regional’nye problemy, 2020, vol. 23, no. 2, pp.3–11. DOI: 10.31433/2618-9593-2020-23-2-3-11. (In Russ.)

Frisman E.Ya., Kulakov M.P., Revutskaya O. L., Zhdanova O.L., Neverova G.P. The Key Approaches and Review of Current Researches on Dynamics of Structured and Interacting Populations. Komp’yuternye issledovaniya i modelirovanie, 2019, vol. 11, no. 1, pp. 119–151. DOI: 10.20537/2076-7633-2019-11-1-119-151. (In Russ.).

Bazykin A.D. Nonlinear Dynamics of Interacting Populations, ed. by Alexander I. Khibnik and Bernd Krauskopf. Singapure: World Scientific Publishing Co. Pte. Ltd., 1998. 216 p. DOI: 10.1142/2284.

Rinaldi S., Muratori S. Slow-fast limit cycles in predator-prey models. Ecological Modelling, 1992, vol. 61, pp. 287–308. DOI:10.1016/0304-3800(92)90023-8.


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