Permanence and global stability of a May cooperative system with strong and weak cooperative partners
Abstract In this paper, a May cooperative system with strong and weak cooperative partners is proposed. First, by using differential inequality theory, we obtain the permanence and non-permanence of the system. Second, we discuss the existence of the positive equilibrium point and boundary equilibri...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-05-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-018-1628-5 |
| _version_ | 1828431523352674304 |
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| author | Liang Zhao Bin Qin Fengde Chen |
| author_facet | Liang Zhao Bin Qin Fengde Chen |
| author_sort | Liang Zhao |
| collection | DOAJ |
| description | Abstract In this paper, a May cooperative system with strong and weak cooperative partners is proposed. First, by using differential inequality theory, we obtain the permanence and non-permanence of the system. Second, we discuss the existence of the positive equilibrium point and boundary equilibrium point, after that, by constructing suitable Lyapunov functions, it is shown that the equilibrium points are globally asymptotically stable in the positive octant. Finally, examples together with their numerical simulations show the feasibility of the main results. |
| first_indexed | 2024-12-10T18:04:31Z |
| format | Article |
| id | doaj.art-e53f76fb89174fb083d73b75bf00b7a3 |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-10T18:04:31Z |
| publishDate | 2018-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-e53f76fb89174fb083d73b75bf00b7a32022-12-22T01:38:39ZengSpringerOpenAdvances in Difference Equations1687-18472018-05-012018111310.1186/s13662-018-1628-5Permanence and global stability of a May cooperative system with strong and weak cooperative partnersLiang Zhao0Bin Qin1Fengde Chen2College of Information and Statistics, Guangxi University of Finance and EconomicsCollege of Information and Statistics, Guangxi University of Finance and EconomicsCollege of Mathematics and Computer Science, Fuzhou UniversityAbstract In this paper, a May cooperative system with strong and weak cooperative partners is proposed. First, by using differential inequality theory, we obtain the permanence and non-permanence of the system. Second, we discuss the existence of the positive equilibrium point and boundary equilibrium point, after that, by constructing suitable Lyapunov functions, it is shown that the equilibrium points are globally asymptotically stable in the positive octant. Finally, examples together with their numerical simulations show the feasibility of the main results.http://link.springer.com/article/10.1186/s13662-018-1628-5Cooperative systemStrongWeakGlobal stability |
| spellingShingle | Liang Zhao Bin Qin Fengde Chen Permanence and global stability of a May cooperative system with strong and weak cooperative partners Advances in Difference Equations Cooperative system Strong Weak Global stability |
| title | Permanence and global stability of a May cooperative system with strong and weak cooperative partners |
| title_full | Permanence and global stability of a May cooperative system with strong and weak cooperative partners |
| title_fullStr | Permanence and global stability of a May cooperative system with strong and weak cooperative partners |
| title_full_unstemmed | Permanence and global stability of a May cooperative system with strong and weak cooperative partners |
| title_short | Permanence and global stability of a May cooperative system with strong and weak cooperative partners |
| title_sort | permanence and global stability of a may cooperative system with strong and weak cooperative partners |
| topic | Cooperative system Strong Weak Global stability |
| url | http://link.springer.com/article/10.1186/s13662-018-1628-5 |
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