Dynamical analysis of fractional-order Holling type-II food chain model
This paper proposed a fractional-order Holling type-II food chain model. First, we verified the existence, uniqueness, nonnegativity and boundedness of the solution of the model, and some conditions for equilibrium existence and local stability were studied. Second, a controller was proposed, and th...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2021-06-01
|
| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2021265?viewType=HTML |
| _version_ | 1819006724690935808 |
|---|---|
| author | Cuimin Liu Zhen Wang Bo Meng |
| author_facet | Cuimin Liu Zhen Wang Bo Meng |
| author_sort | Cuimin Liu |
| collection | DOAJ |
| description | This paper proposed a fractional-order Holling type-II food chain model. First, we verified the existence, uniqueness, nonnegativity and boundedness of the solution of the model, and some conditions for equilibrium existence and local stability were studied. Second, a controller was proposed, and the Lyapunov method was used to study the global stability of the positive equilibrium point. Finally, numerical simulations were performed to verify the theoretical results. |
| first_indexed | 2024-12-21T00:13:14Z |
| format | Article |
| id | doaj.art-276bfb9f5425432bb42edbdfdaff7a61 |
| institution | Directory Open Access Journal |
| issn | 1551-0018 |
| language | English |
| last_indexed | 2024-12-21T00:13:14Z |
| publishDate | 2021-06-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj.art-276bfb9f5425432bb42edbdfdaff7a612022-12-21T19:22:18ZengAIMS PressMathematical Biosciences and Engineering1551-00182021-06-011855221523510.3934/mbe.2021265Dynamical analysis of fractional-order Holling type-II food chain modelCuimin Liu0Zhen Wang1Bo Meng2College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, ChinaCollege of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, ChinaCollege of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, ChinaThis paper proposed a fractional-order Holling type-II food chain model. First, we verified the existence, uniqueness, nonnegativity and boundedness of the solution of the model, and some conditions for equilibrium existence and local stability were studied. Second, a controller was proposed, and the Lyapunov method was used to study the global stability of the positive equilibrium point. Finally, numerical simulations were performed to verify the theoretical results.https://www.aimspress.com/article/doi/10.3934/mbe.2021265?viewType=HTMLprey-predator modelfractional-order systemglobal stabilityholling ii functional response |
| spellingShingle | Cuimin Liu Zhen Wang Bo Meng Dynamical analysis of fractional-order Holling type-II food chain model Mathematical Biosciences and Engineering prey-predator model fractional-order system global stability holling ii functional response |
| title | Dynamical analysis of fractional-order Holling type-II food chain model |
| title_full | Dynamical analysis of fractional-order Holling type-II food chain model |
| title_fullStr | Dynamical analysis of fractional-order Holling type-II food chain model |
| title_full_unstemmed | Dynamical analysis of fractional-order Holling type-II food chain model |
| title_short | Dynamical analysis of fractional-order Holling type-II food chain model |
| title_sort | dynamical analysis of fractional order holling type ii food chain model |
| topic | prey-predator model fractional-order system global stability holling ii functional response |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2021265?viewType=HTML |
| work_keys_str_mv | AT cuiminliu dynamicalanalysisoffractionalorderhollingtypeiifoodchainmodel AT zhenwang dynamicalanalysisoffractionalorderhollingtypeiifoodchainmodel AT bomeng dynamicalanalysisoffractionalorderhollingtypeiifoodchainmodel |