Global stability in a diffusive predator–prey model of Leslie–Gower type
We consider a diffusive predator–prey model of Leslie–Gower type, and obtain a new global stability result by combining the Lyapunov function method and the transformation technique used in Qi and Zhu, (2016). Our result partially answers the question proposed in [Y. H. Du and S. B. Hsu, J. Differen...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-06-01
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| Series: | Partial Differential Equations in Applied Mathematics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666818122001206 |
| _version_ | 1797797105472897024 |
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| author | Wenshu Zhou Xiaodan Wei |
| author_facet | Wenshu Zhou Xiaodan Wei |
| author_sort | Wenshu Zhou |
| collection | DOAJ |
| description | We consider a diffusive predator–prey model of Leslie–Gower type, and obtain a new global stability result by combining the Lyapunov function method and the transformation technique used in Qi and Zhu, (2016). Our result partially answers the question proposed in [Y. H. Du and S. B. Hsu, J. Differential Equations 203(2004) 331–364]. In addition, we extend the result to a class of diffusive systems with a more general type of reaction-terms. |
| first_indexed | 2024-03-13T03:43:09Z |
| format | Article |
| id | doaj.art-0186ed6d0bce4563ad162425cb4cceaf |
| institution | Directory Open Access Journal |
| issn | 2666-8181 |
| language | English |
| last_indexed | 2024-03-13T03:43:09Z |
| publishDate | 2023-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Partial Differential Equations in Applied Mathematics |
| spelling | doaj.art-0186ed6d0bce4563ad162425cb4cceaf2023-06-23T04:44:43ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812023-06-017100472Global stability in a diffusive predator–prey model of Leslie–Gower typeWenshu Zhou0Xiaodan Wei1Department of Mathematics, Dalian Minzu University, Dalian 116600, PR ChinaCollege of Computer Science, Dalian Minzu University, Dalian 116600, PR China; Corresponding author.We consider a diffusive predator–prey model of Leslie–Gower type, and obtain a new global stability result by combining the Lyapunov function method and the transformation technique used in Qi and Zhu, (2016). Our result partially answers the question proposed in [Y. H. Du and S. B. Hsu, J. Differential Equations 203(2004) 331–364]. In addition, we extend the result to a class of diffusive systems with a more general type of reaction-terms.http://www.sciencedirect.com/science/article/pii/S2666818122001206Diffusive predator–prey modelLesile–Gower typeGlobal stabilityLyapunov function method |
| spellingShingle | Wenshu Zhou Xiaodan Wei Global stability in a diffusive predator–prey model of Leslie–Gower type Partial Differential Equations in Applied Mathematics Diffusive predator–prey model Lesile–Gower type Global stability Lyapunov function method |
| title | Global stability in a diffusive predator–prey model of Leslie–Gower type |
| title_full | Global stability in a diffusive predator–prey model of Leslie–Gower type |
| title_fullStr | Global stability in a diffusive predator–prey model of Leslie–Gower type |
| title_full_unstemmed | Global stability in a diffusive predator–prey model of Leslie–Gower type |
| title_short | Global stability in a diffusive predator–prey model of Leslie–Gower type |
| title_sort | global stability in a diffusive predator prey model of leslie gower type |
| topic | Diffusive predator–prey model Lesile–Gower type Global stability Lyapunov function method |
| url | http://www.sciencedirect.com/science/article/pii/S2666818122001206 |
| work_keys_str_mv | AT wenshuzhou globalstabilityinadiffusivepredatorpreymodeloflesliegowertype AT xiaodanwei globalstabilityinadiffusivepredatorpreymodeloflesliegowertype |