Stability Analysis of a Ratio-Dependent Predator-Prey Model
In this study, a ratio-dependent predator-prey model is investigated. The local stability and global stability of the nonnegative boundary equilibrium and positive equilibrium of the model are discussed, respectively. Sufficient condition is obtained for the existence of Hopf bifurcation at the posi...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/4605267 |
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| _version_ | 1849435188653719552 |
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| author | Pei Yao Zuocheng Wang Lingshu Wang |
| author_facet | Pei Yao Zuocheng Wang Lingshu Wang |
| author_sort | Pei Yao |
| collection | DOAJ |
| description | In this study, a ratio-dependent predator-prey model is investigated. The local stability and global stability of the nonnegative boundary equilibrium and positive equilibrium of the model are discussed, respectively. Sufficient condition is obtained for the existence of Hopf bifurcation at the positive equilibrium. |
| format | Article |
| id | doaj-art-ddcd4109bd174b168a4306fa03fb403a |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-ddcd4109bd174b168a4306fa03fb403a2025-08-20T03:26:21ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/4605267Stability Analysis of a Ratio-Dependent Predator-Prey ModelPei Yao0Zuocheng Wang1Lingshu Wang2Shijiazhuang Information Engineering Vocational CollegeThe Architecture of Hebei UniversityHebei University of Economics and BusinessIn this study, a ratio-dependent predator-prey model is investigated. The local stability and global stability of the nonnegative boundary equilibrium and positive equilibrium of the model are discussed, respectively. Sufficient condition is obtained for the existence of Hopf bifurcation at the positive equilibrium.http://dx.doi.org/10.1155/2022/4605267 |
| spellingShingle | Pei Yao Zuocheng Wang Lingshu Wang Stability Analysis of a Ratio-Dependent Predator-Prey Model Journal of Mathematics |
| title | Stability Analysis of a Ratio-Dependent Predator-Prey Model |
| title_full | Stability Analysis of a Ratio-Dependent Predator-Prey Model |
| title_fullStr | Stability Analysis of a Ratio-Dependent Predator-Prey Model |
| title_full_unstemmed | Stability Analysis of a Ratio-Dependent Predator-Prey Model |
| title_short | Stability Analysis of a Ratio-Dependent Predator-Prey Model |
| title_sort | stability analysis of a ratio dependent predator prey model |
| url | http://dx.doi.org/10.1155/2022/4605267 |
| work_keys_str_mv | AT peiyao stabilityanalysisofaratiodependentpredatorpreymodel AT zuochengwang stabilityanalysisofaratiodependentpredatorpreymodel AT lingshuwang stabilityanalysisofaratiodependentpredatorpreymodel |