A Lyapunov Function For Logistic Equation On Time Scales
In this study we focus on the stability of dynamic logistic equation which is used in single species population dynamics. Here we have introduced a quadratic Lyapunov function for generalized dynamic logistic equation on time scales. By using proposed Lyapunov function, asymptotic stability conditio...
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| Format: | Article |
| Language: | English |
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Sakarya University
2018-12-01
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| Series: | Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi |
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| Online Access: | https://dergipark.org.tr/tr/download/article-file/454604 |
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| _version_ | 1850099668209369088 |
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| author | Veysel Fuat Hatipoğlu |
| author_facet | Veysel Fuat Hatipoğlu |
| author_sort | Veysel Fuat Hatipoğlu |
| collection | DOAJ |
| description | In this study we focus on the stability of dynamic logistic equation which is used in single species population dynamics. Here we have introduced a quadratic Lyapunov function for generalized dynamic logistic equation on time scales. By using proposed Lyapunov function, asymptotic stability conditions for the equilibrium solution of dynamic logistic equation have been investigated. |
| format | Article |
| id | doaj-art-d831544f4cd741fb99c8ce88362ad22e |
| institution | DOAJ |
| issn | 2147-835X |
| language | English |
| publishDate | 2018-12-01 |
| publisher | Sakarya University |
| record_format | Article |
| series | Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi |
| spelling | doaj-art-d831544f4cd741fb99c8ce88362ad22e2025-08-20T02:40:27ZengSakarya UniversitySakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi2147-835X2018-12-012261628163010.16984/saufenbilder.39561528A Lyapunov Function For Logistic Equation On Time ScalesVeysel Fuat Hatipoğluhttps://orcid.org/0000-0003-2156-8781In this study we focus on the stability of dynamic logistic equation which is used in single species population dynamics. Here we have introduced a quadratic Lyapunov function for generalized dynamic logistic equation on time scales. By using proposed Lyapunov function, asymptotic stability conditions for the equilibrium solution of dynamic logistic equation have been investigated.https://dergipark.org.tr/tr/download/article-file/454604dynamic logistic equationlyapunov functionstabilitytime scales |
| spellingShingle | Veysel Fuat Hatipoğlu A Lyapunov Function For Logistic Equation On Time Scales Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi dynamic logistic equation lyapunov function stability time scales |
| title | A Lyapunov Function For Logistic Equation On Time Scales |
| title_full | A Lyapunov Function For Logistic Equation On Time Scales |
| title_fullStr | A Lyapunov Function For Logistic Equation On Time Scales |
| title_full_unstemmed | A Lyapunov Function For Logistic Equation On Time Scales |
| title_short | A Lyapunov Function For Logistic Equation On Time Scales |
| title_sort | lyapunov function for logistic equation on time scales |
| topic | dynamic logistic equation lyapunov function stability time scales |
| url | https://dergipark.org.tr/tr/download/article-file/454604 |
| work_keys_str_mv | AT veyselfuathatipoglu alyapunovfunctionforlogisticequationontimescales AT veyselfuathatipoglu lyapunovfunctionforlogisticequationontimescales |