On the chaotic dynamics in one variant of the diffusive predator-prey systems
- 作者: Evstigneev N.M.1, Karamysheva T.V.1,2
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隶属关系:
- Federal Research Center ’’Computer Science and Control’’ of the Russian Academy of Sciences
- Joint Institute for Nuclear Research
- 期: 卷 74, 编号 2 (2024)
- 页面: 11-18
- 栏目: 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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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.
作者简介
N. Evstigneev
Federal Research Center ’’Computer Science and Control’’ of the Russian Academy of Sciences
编辑信件的主要联系方式.
Email: evstigneevnm@yandex.ru
PhD, Lead staff scientist
俄罗斯联邦, 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
俄罗斯联邦, Moscow; Dubna参考
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