On the chaotic dynamics in one variant of the diffusive predator-prey systems
- Autores: Evstigneev N.M.1, Karamysheva T.V.1,2
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Afiliações:
- Federal Research Center ’’Computer Science and Control’’ of the Russian Academy of Sciences
- Joint Institute for Nuclear Research
- Edição: Volume 74, Nº 2 (2024)
- Páginas: 11-18
- Seção: Dynamical Systems
- URL: https://journal-vniispk.ru/2079-0279/article/view/287114
- DOI: https://doi.org/10.14357/20790279240202
- EDN: https://elibrary.ru/EQKPQY
- ID: 287114
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Resumo
In this paper we are considering the generalization of the predator-prey model of the Lotka-Volterra type to the diffusion. The model is different from precious known diffusive Lora-Voterra systems by more complex non-linearity that corresponds to more aggressive interaction between species. This type of systems can be characterized as reaction-diffusion type of systems. In the present research we analyze the base stationary solution, its bifurcations end explore the transition to chaos by means of numerical investigation. It was detected that the series of bifurcation lead to the known cascades of bifurcations over limited cycles that coincide with the ones in Feigenbaum–Sharkovskii–Magnitskii theory. Finally, we summarize the current study and give the future work.
Sobre autores
N. Evstigneev
Federal Research Center ’’Computer Science and Control’’ of the Russian Academy of Sciences
Autor responsável pela correspondência
Email: evstigneevnm@yandex.ru
PhD, Lead staff scientist
Rússia, MoscowT. Karamysheva
Federal Research Center ’’Computer Science and Control’’ of the Russian Academy of Sciences; Joint Institute for Nuclear Research
Email: taisia.karamysheva@gmail.com
PhD, Chief staff engineer (0.5 rate), Senior staff scientist
Rússia, Moscow; DubnaBibliografia
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