STUDY OF CONDITIONS FOR COMPLEX DYNAMIC REGIMES IN THE FAST-SLOW MODEL OF COMMUNITIES COUPLED BY MIGRATION

E.V. Kurilova, M.P. Kulakov

Аннотация


The paper deals with the study of dynamics of fast-slow system consisting of two non-identical communities «predator – prey» coupled by migration. We study the mechanisms that lead to the complex space-time structures in the case of a weak coupling between very different communities. The community dynamics in this case is non-synchronous or partially synchronous.


Литература


Kulakov M.P., Kurilova E.V., Frisman E.Ya. Synchronization, tonic and burst dynamics in the model of two «predator-prey» communities connected by predator migrations. Mathematical biology and bioinformatics, 2019, vol. 14, no. 2, pp. 588–611. DOI: 10.17537/2019.14.588 (In Russ.).

Kurilova E.V., Kulakov M.P. Quasi-periodic regimes of dynamics in the «predator-prey» model of migration-related communities. Regional’nye problemy, 2020, vol. 23, no. 2, pp. 3–11. DOI: 10.31433/2618-9593-2020-23-2-3-11 (In Russ.).

Ghosh S., Bhattacharyya S. A two-patch prey-predator model with food-gathering activity. J. Appl. Math. Comput., 2011, vol. 37, pp. 497–521. DOI: 10.1007/s12190-010-0446-z

Kang Y., Sasmal S.K., Messan K. A two-patch prey-predator model with predator dispersal driven by the predation strength. Mathematical Biosciences and Engineering, 2017, vol. 14, no. 4. pp. 843–880. DOI:10.3934/mbe.2017046


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