Stability of Certain Non-Autonomous Cooperative Systems of Difference Equations with the Application to Evolutionary Dynamics
This paper investigates the dynamics of non-autonomous cooperative systems of difference equations with asymptotically constant coefficients. We are mainly interested in global attractivity results for such systems and the application of such results to evolutionary population cooperation models. We...
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| Language: | English |
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MDPI AG
2024-10-01
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| Online Access: | https://www.mdpi.com/2075-1680/13/11/730 |
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| author | Mustafa R. S. Kulenović Mehmed Nurkanović Zehra Nurkanović Susan Trolle |
| author_facet | Mustafa R. S. Kulenović Mehmed Nurkanović Zehra Nurkanović Susan Trolle |
| author_sort | Mustafa R. S. Kulenović |
| collection | DOAJ |
| description | This paper investigates the dynamics of non-autonomous cooperative systems of difference equations with asymptotically constant coefficients. We are mainly interested in global attractivity results for such systems and the application of such results to evolutionary population cooperation models. We use two methods to extend the global attractivity results for autonomous cooperative systems to related non-autonomous cooperative systems which appear in recent problems in evolutionary dynamics. |
| format | Article |
| id | doaj-art-de96a5c579914b27ba1d22b9cfa59d39 |
| institution | OA Journals |
| issn | 2075-1680 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj-art-de96a5c579914b27ba1d22b9cfa59d392025-08-20T01:53:40ZengMDPI AGAxioms2075-16802024-10-01131173010.3390/axioms13110730Stability of Certain Non-Autonomous Cooperative Systems of Difference Equations with the Application to Evolutionary DynamicsMustafa R. S. Kulenović0Mehmed Nurkanović1Zehra Nurkanović2Susan Trolle3Department of Mathematics, University of Rhode Island, Kingston, RI 02881, USADepartment of Mathematics, University of Tuzla, 75000 Tuzla, Bosnia and HerzegovinaDepartment of Mathematics, University of Tuzla, 75000 Tuzla, Bosnia and HerzegovinaDepartment of Mathematics, University of Rhode Island, Kingston, RI 02881, USAThis paper investigates the dynamics of non-autonomous cooperative systems of difference equations with asymptotically constant coefficients. We are mainly interested in global attractivity results for such systems and the application of such results to evolutionary population cooperation models. We use two methods to extend the global attractivity results for autonomous cooperative systems to related non-autonomous cooperative systems which appear in recent problems in evolutionary dynamics.https://www.mdpi.com/2075-1680/13/11/730cooperativedifference equationsdiscrete dynamical systemsevolutionary dynamicsnon-autonomous systemsstability |
| spellingShingle | Mustafa R. S. Kulenović Mehmed Nurkanović Zehra Nurkanović Susan Trolle Stability of Certain Non-Autonomous Cooperative Systems of Difference Equations with the Application to Evolutionary Dynamics Axioms cooperative difference equations discrete dynamical systems evolutionary dynamics non-autonomous systems stability |
| title | Stability of Certain Non-Autonomous Cooperative Systems of Difference Equations with the Application to Evolutionary Dynamics |
| title_full | Stability of Certain Non-Autonomous Cooperative Systems of Difference Equations with the Application to Evolutionary Dynamics |
| title_fullStr | Stability of Certain Non-Autonomous Cooperative Systems of Difference Equations with the Application to Evolutionary Dynamics |
| title_full_unstemmed | Stability of Certain Non-Autonomous Cooperative Systems of Difference Equations with the Application to Evolutionary Dynamics |
| title_short | Stability of Certain Non-Autonomous Cooperative Systems of Difference Equations with the Application to Evolutionary Dynamics |
| title_sort | stability of certain non autonomous cooperative systems of difference equations with the application to evolutionary dynamics |
| topic | cooperative difference equations discrete dynamical systems evolutionary dynamics non-autonomous systems stability |
| url | https://www.mdpi.com/2075-1680/13/11/730 |
| work_keys_str_mv | AT mustafarskulenovic stabilityofcertainnonautonomouscooperativesystemsofdifferenceequationswiththeapplicationtoevolutionarydynamics AT mehmednurkanovic stabilityofcertainnonautonomouscooperativesystemsofdifferenceequationswiththeapplicationtoevolutionarydynamics AT zehranurkanovic stabilityofcertainnonautonomouscooperativesystemsofdifferenceequationswiththeapplicationtoevolutionarydynamics AT susantrolle stabilityofcertainnonautonomouscooperativesystemsofdifferenceequationswiththeapplicationtoevolutionarydynamics |