Dynamics of a two-species model with transitions in population interactions

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...

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Main Authors: Wang Yaping, Xiao Jingyu
Format: Article
Language:English
Published: EDP Sciences 2017-01-01
Series:MATEC Web of Conferences
Online Access:https://doi.org/10.1051/matecconf/201713900089
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spelling doaj-6ae05877cfa8442f9231d3fab1651f182021-02-02T07:24:03ZengEDP 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
collection DOAJ
language English
format Article
sources DOAJ
author Wang Yaping
Xiao Jingyu
spellingShingle Wang Yaping
Xiao Jingyu
Dynamics of a two-species model with transitions in population interactions
MATEC Web of Conferences
author_facet Wang Yaping
Xiao Jingyu
author_sort Wang Yaping
title 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_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_sort dynamics of a two-species model with transitions in population interactions
publisher EDP Sciences
series MATEC Web of Conferences
issn 2261-236X
publishDate 2017-01-01
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.
url https://doi.org/10.1051/matecconf/201713900089
work_keys_str_mv AT wangyaping dynamicsofatwospeciesmodelwithtransitionsinpopulationinteractions
AT xiaojingyu dynamicsofatwospeciesmodelwithtransitionsinpopulationinteractions
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