The stability of bifurcating solutions for a prey-predator model with population flux by attractive transition
This paper investigates the stability of bifurcating solutions for a prey-predator model with population flux by attractive transition. Applying spectral analysis and the principle of exchange of stability, we obtain that the bifurcating solutions are stable/unstable under some certain conditions.
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AIMS Press
2021-04-01
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| Series: | AIMS Mathematics |
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| Online Access: | http://www.aimspress.com/article/doi/10.3934/math.2021407?viewType=HTML |
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doaj-314893b6743544658979aed3b4de40ce2021-04-27T01:15:36ZengAIMS PressAIMS Mathematics2473-69882021-04-01676948696010.3934/math.2021407The stability of bifurcating solutions for a prey-predator model with population flux by attractive transitionQian Xu0Chunfeng Xing1Institute of Mathematics and Physics, Beijing Union University, Beijing 100101, ChinaInstitute of Mathematics and Physics, Beijing Union University, Beijing 100101, ChinaThis paper investigates the stability of bifurcating solutions for a prey-predator model with population flux by attractive transition. Applying spectral analysis and the principle of exchange of stability, we obtain that the bifurcating solutions are stable/unstable under some certain conditions.http://www.aimspress.com/article/doi/10.3934/math.2021407?viewType=HTMLspectral analysisstability |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Qian Xu Chunfeng Xing |
| spellingShingle |
Qian Xu Chunfeng Xing The stability of bifurcating solutions for a prey-predator model with population flux by attractive transition AIMS Mathematics spectral analysis stability |
| author_facet |
Qian Xu Chunfeng Xing |
| author_sort |
Qian Xu |
| title |
The stability of bifurcating solutions for a prey-predator model with population flux by attractive transition |
| title_short |
The stability of bifurcating solutions for a prey-predator model with population flux by attractive transition |
| title_full |
The stability of bifurcating solutions for a prey-predator model with population flux by attractive transition |
| title_fullStr |
The stability of bifurcating solutions for a prey-predator model with population flux by attractive transition |
| title_full_unstemmed |
The stability of bifurcating solutions for a prey-predator model with population flux by attractive transition |
| title_sort |
stability of bifurcating solutions for a prey-predator model with population flux by attractive transition |
| publisher |
AIMS Press |
| series |
AIMS Mathematics |
| issn |
2473-6988 |
| publishDate |
2021-04-01 |
| description |
This paper investigates the stability of bifurcating solutions for a prey-predator model with population flux by attractive transition. Applying spectral analysis and the principle of exchange of stability, we obtain that the bifurcating solutions are stable/unstable under some certain conditions. |
| topic |
spectral analysis stability |
| url |
http://www.aimspress.com/article/doi/10.3934/math.2021407?viewType=HTML |
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AT qianxu thestabilityofbifurcatingsolutionsforapreypredatormodelwithpopulationfluxbyattractivetransition AT chunfengxing thestabilityofbifurcatingsolutionsforapreypredatormodelwithpopulationfluxbyattractivetransition AT qianxu stabilityofbifurcatingsolutionsforapreypredatormodelwithpopulationfluxbyattractivetransition AT chunfengxing stabilityofbifurcatingsolutionsforapreypredatormodelwithpopulationfluxbyattractivetransition |
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1721507107679764480 |