Global dynamics of a modified Leslie-Gower predator-prey model with Beddington-DeAngelis functional response and prey-taxis
In this paper, our purpose is to discuss the global dynamics of a modified Leslie-Gower predator-prey model with Beddington-DeAngelis functional response and prey-taxis under homogeneous Neumann boundary conditions. First, we derive that the global classical solutions of the system are globally boun...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-03-01
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| Series: | Electronic Research Archive |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/era.2022048?viewType=HTML |
| _version_ | 1811341457393451008 |
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| author | Jialu Tian Ping Liu |
| author_facet | Jialu Tian Ping Liu |
| author_sort | Jialu Tian |
| collection | DOAJ |
| description | In this paper, our purpose is to discuss the global dynamics of a modified Leslie-Gower predator-prey model with Beddington-DeAngelis functional response and prey-taxis under homogeneous Neumann boundary conditions. First, we derive that the global classical solutions of the system are globally bounded by taking advantage of the Morse's iteration of the parabolic equation, which further arrives at the global existence of classical solutions with a uniform-in-time bound. In addition, we establish the global stability of the spatially homogeneous coexistence steady states under certain conditions on parameters by constructing Lyapunov functionals. |
| first_indexed | 2024-04-13T18:56:37Z |
| format | Article |
| id | doaj.art-aad6bb10ec8a47a181e0cc64b53fd27e |
| institution | Directory Open Access Journal |
| issn | 2688-1594 |
| language | English |
| last_indexed | 2024-04-13T18:56:37Z |
| publishDate | 2022-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Electronic Research Archive |
| spelling | doaj.art-aad6bb10ec8a47a181e0cc64b53fd27e2022-12-22T02:34:14ZengAIMS PressElectronic Research Archive2688-15942022-03-0130392994210.3934/era.2022048Global dynamics of a modified Leslie-Gower predator-prey model with Beddington-DeAngelis functional response and prey-taxisJialu Tian0Ping Liu1Y.Y.Tseng Functional Analysis Research Center and School of Mathematical Sciences, Harbin Normal University, Harbin, Heilongjiang, 150025, ChinaY.Y.Tseng Functional Analysis Research Center and School of Mathematical Sciences, Harbin Normal University, Harbin, Heilongjiang, 150025, ChinaIn this paper, our purpose is to discuss the global dynamics of a modified Leslie-Gower predator-prey model with Beddington-DeAngelis functional response and prey-taxis under homogeneous Neumann boundary conditions. First, we derive that the global classical solutions of the system are globally bounded by taking advantage of the Morse's iteration of the parabolic equation, which further arrives at the global existence of classical solutions with a uniform-in-time bound. In addition, we establish the global stability of the spatially homogeneous coexistence steady states under certain conditions on parameters by constructing Lyapunov functionals.https://www.aimspress.com/article/doi/10.3934/era.2022048?viewType=HTMLleslie-gower predator-preybeddington-deangelis responseglobal stabilityboundednessprey-taxis |
| spellingShingle | Jialu Tian Ping Liu Global dynamics of a modified Leslie-Gower predator-prey model with Beddington-DeAngelis functional response and prey-taxis Electronic Research Archive leslie-gower predator-prey beddington-deangelis response global stability boundedness prey-taxis |
| title | Global dynamics of a modified Leslie-Gower predator-prey model with Beddington-DeAngelis functional response and prey-taxis |
| title_full | Global dynamics of a modified Leslie-Gower predator-prey model with Beddington-DeAngelis functional response and prey-taxis |
| title_fullStr | Global dynamics of a modified Leslie-Gower predator-prey model with Beddington-DeAngelis functional response and prey-taxis |
| title_full_unstemmed | Global dynamics of a modified Leslie-Gower predator-prey model with Beddington-DeAngelis functional response and prey-taxis |
| title_short | Global dynamics of a modified Leslie-Gower predator-prey model with Beddington-DeAngelis functional response and prey-taxis |
| title_sort | global dynamics of a modified leslie gower predator prey model with beddington deangelis functional response and prey taxis |
| topic | leslie-gower predator-prey beddington-deangelis response global stability boundedness prey-taxis |
| url | https://www.aimspress.com/article/doi/10.3934/era.2022048?viewType=HTML |
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