Dynamics of a two-species model with transitions in population interactions
A two-species model with variable population interactions and harvesting on one of the species is studied. Existence and stability of equilibria and existence of periodic solutions are established, existence of some bifurcation phenomena are analytically and numerically studied, explicit threshold v...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
EDP Sciences
2017-01-01
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| Series: | MATEC Web of Conferences |
| Online Access: | https://doi.org/10.1051/matecconf/201713900089 |
| _version_ | 1818918850962391040 |
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| author | Wang Yaping Xiao Jingyu |
| author_facet | Wang Yaping Xiao Jingyu |
| author_sort | Wang Yaping |
| collection | DOAJ |
| description | A two-species model with variable population interactions and harvesting on one of the species is studied. Existence and stability of equilibria and existence of periodic solutions are established, existence of some bifurcation phenomena are analytically and numerically studied, explicit threshold values are computed to determine the kind of interaction ( mutualism, competition, host-parasite) between the two species. A brief discussion on the influence of the harvesting function on the dynamics of the model is also included. |
| first_indexed | 2024-12-20T00:56:31Z |
| format | Article |
| id | doaj.art-6ae05877cfa8442f9231d3fab1651f18 |
| institution | Directory Open Access Journal |
| issn | 2261-236X |
| language | English |
| last_indexed | 2024-12-20T00:56:31Z |
| publishDate | 2017-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | MATEC Web of Conferences |
| spelling | doaj.art-6ae05877cfa8442f9231d3fab1651f182022-12-21T19:59:05ZengEDP SciencesMATEC Web of Conferences2261-236X2017-01-011390008910.1051/matecconf/201713900089matecconf_icmite2017_00089Dynamics of a two-species model with transitions in population interactionsWang YapingXiao JingyuA two-species model with variable population interactions and harvesting on one of the species is studied. Existence and stability of equilibria and existence of periodic solutions are established, existence of some bifurcation phenomena are analytically and numerically studied, explicit threshold values are computed to determine the kind of interaction ( mutualism, competition, host-parasite) between the two species. A brief discussion on the influence of the harvesting function on the dynamics of the model is also included.https://doi.org/10.1051/matecconf/201713900089 |
| spellingShingle | Wang Yaping Xiao Jingyu Dynamics of a two-species model with transitions in population interactions MATEC Web of Conferences |
| title | Dynamics of a two-species model with transitions in population interactions |
| title_full | Dynamics of a two-species model with transitions in population interactions |
| title_fullStr | Dynamics of a two-species model with transitions in population interactions |
| title_full_unstemmed | Dynamics of a two-species model with transitions in population interactions |
| title_short | Dynamics of a two-species model with transitions in population interactions |
| title_sort | dynamics of a two species model with transitions in population interactions |
| url | https://doi.org/10.1051/matecconf/201713900089 |
| work_keys_str_mv | AT wangyaping dynamicsofatwospeciesmodelwithtransitionsinpopulationinteractions AT xiaojingyu dynamicsofatwospeciesmodelwithtransitionsinpopulationinteractions |