Analysis of a class of Lotka--Volterra systems
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913298793889792 |
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| author | Moza, G. Constantinescu, D. Efrem, R. Bucur, L. Constantinescu, R. |
| author_facet | Moza, G. Constantinescu, D. Efrem, R. Bucur, L. Constantinescu, R. |
| contents | A generalized two-dimensional cubic Lotka-Volterra model with infinitesimal parameters is studied. Three different cases have been considered, one non-degenerate and two degenerate. The local behavior of the model has been studied in the three cases. Six bifurcation diagrams with thirty different regions have been obtained in the non-degenerate case, respectively, sixteen diagrams with forty regions in the two degenerate cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_03316 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Analysis of a class of Lotka--Volterra systems Moza, G. Constantinescu, D. Efrem, R. Bucur, L. Constantinescu, R. Dynamical Systems A generalized two-dimensional cubic Lotka-Volterra model with infinitesimal parameters is studied. Three different cases have been considered, one non-degenerate and two degenerate. The local behavior of the model has been studied in the three cases. Six bifurcation diagrams with thirty different regions have been obtained in the non-degenerate case, respectively, sixteen diagrams with forty regions in the two degenerate cases. |
| title | Analysis of a class of Lotka--Volterra systems |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2404.03316 |