Positive Almost Periodic Solution for a Model of Hematopoiesis with Infinite Time Delays and a Nonlinear Harvesting Term
A generalized model of Hematopoiesis with infinite time delays and a nonlinear harvesting term is investigated. By utilizing a fixed point theorem of the differential equations and constructing a suitable Lyapunov functional, we establish some conditions which guarantee the existence of a unique pos...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/146729 |
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| _version_ | 1849401038064320512 |
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| author | Hui Zhou Wen Wang Zongfu Zhou |
| author_facet | Hui Zhou Wen Wang Zongfu Zhou |
| author_sort | Hui Zhou |
| collection | DOAJ |
| description | A generalized model of Hematopoiesis with infinite time delays and a nonlinear harvesting term is investigated. By utilizing a fixed point theorem of the differential equations and constructing a suitable Lyapunov functional, we establish some conditions which guarantee the existence of a unique positive almost periodic solution and the exponential convergence of the system. Finally, we give an example to illustrate the effectiveness of our results. |
| format | Article |
| id | doaj-art-8a77f4481dc24614a5c1d08de17e035a |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-8a77f4481dc24614a5c1d08de17e035a2025-08-20T03:37:51ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/146729146729Positive Almost Periodic Solution for a Model of Hematopoiesis with Infinite Time Delays and a Nonlinear Harvesting TermHui Zhou0Wen Wang1Zongfu Zhou2Department of Mathematics, Hefei Normal University, Hefei 230601, ChinaDepartment of Mathematics, Hefei Normal University, Hefei 230601, ChinaSchool of Mathematical Science, Anhui University, Hefei 230039, ChinaA generalized model of Hematopoiesis with infinite time delays and a nonlinear harvesting term is investigated. By utilizing a fixed point theorem of the differential equations and constructing a suitable Lyapunov functional, we establish some conditions which guarantee the existence of a unique positive almost periodic solution and the exponential convergence of the system. Finally, we give an example to illustrate the effectiveness of our results.http://dx.doi.org/10.1155/2013/146729 |
| spellingShingle | Hui Zhou Wen Wang Zongfu Zhou Positive Almost Periodic Solution for a Model of Hematopoiesis with Infinite Time Delays and a Nonlinear Harvesting Term Abstract and Applied Analysis |
| title | Positive Almost Periodic Solution for a Model of Hematopoiesis with Infinite Time Delays and a Nonlinear Harvesting Term |
| title_full | Positive Almost Periodic Solution for a Model of Hematopoiesis with Infinite Time Delays and a Nonlinear Harvesting Term |
| title_fullStr | Positive Almost Periodic Solution for a Model of Hematopoiesis with Infinite Time Delays and a Nonlinear Harvesting Term |
| title_full_unstemmed | Positive Almost Periodic Solution for a Model of Hematopoiesis with Infinite Time Delays and a Nonlinear Harvesting Term |
| title_short | Positive Almost Periodic Solution for a Model of Hematopoiesis with Infinite Time Delays and a Nonlinear Harvesting Term |
| title_sort | positive almost periodic solution for a model of hematopoiesis with infinite time delays and a nonlinear harvesting term |
| url | http://dx.doi.org/10.1155/2013/146729 |
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