Global phase portraits of a predator–prey system
We classify the global dynamics of a family of Kolmogorov systems depending on three parameters which has ecological meaning as it modelizes a predator–prey system. We obtain all their topologically distinct global phase portraits in the positive quadrant of the Poincaré disc, so we provide all the...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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University of Szeged
2022-04-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=9688 |
| _version_ | 1797830446021607424 |
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| author | Érika Diz-Pita Jaume Llibre M. Victoria Otero-Espinar |
| author_facet | Érika Diz-Pita Jaume Llibre M. Victoria Otero-Espinar |
| author_sort | Érika Diz-Pita |
| collection | DOAJ |
| description | We classify the global dynamics of a family of Kolmogorov systems depending on three parameters which has ecological meaning as it modelizes a predator–prey system. We obtain all their topologically distinct global phase portraits in the positive quadrant of the Poincaré disc, so we provide all the possible distinct dynamics of these systems. |
| first_indexed | 2024-04-09T13:37:25Z |
| format | Article |
| id | doaj.art-873192f6865f4aa1920f02c737a55732 |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:37:25Z |
| publishDate | 2022-04-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-873192f6865f4aa1920f02c737a557322023-05-09T07:53:11ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752022-04-0120221611310.14232/ejqtde.2022.1.169688Global phase portraits of a predator–prey systemÉrika Diz-Pita0Jaume Llibre1M. Victoria Otero-Espinar2Departamento de Estatísica, Análise Matemática e Optimización, Universidade de Santiago de Compostela, SpainDepartament de Matemàtiques, Universitat Autònoma de Barcelona, 08193, SpainDepartamento de Estatísica, Análise Matemática e Optimización, Universidade de Santiago de Compostela. Santiago de Compostela, SpainWe classify the global dynamics of a family of Kolmogorov systems depending on three parameters which has ecological meaning as it modelizes a predator–prey system. We obtain all their topologically distinct global phase portraits in the positive quadrant of the Poincaré disc, so we provide all the possible distinct dynamics of these systems.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=9688predator–prey systemkolmogorov systemglobal phase portraitpoincaré disc |
| spellingShingle | Érika Diz-Pita Jaume Llibre M. Victoria Otero-Espinar Global phase portraits of a predator–prey system Electronic Journal of Qualitative Theory of Differential Equations predator–prey system kolmogorov system global phase portrait poincaré disc |
| title | Global phase portraits of a predator–prey system |
| title_full | Global phase portraits of a predator–prey system |
| title_fullStr | Global phase portraits of a predator–prey system |
| title_full_unstemmed | Global phase portraits of a predator–prey system |
| title_short | Global phase portraits of a predator–prey system |
| title_sort | global phase portraits of a predator prey system |
| topic | predator–prey system kolmogorov system global phase portrait poincaré disc |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=9688 |
| work_keys_str_mv | AT erikadizpita globalphaseportraitsofapredatorpreysystem AT jaumellibre globalphaseportraitsofapredatorpreysystem AT mvictoriaoteroespinar globalphaseportraitsofapredatorpreysystem |