Global Exponential Stability of Positive Pseudo-Almost-Periodic Solutions for a Model of Hematopoiesis
This paper presents a new generalized model of hematopoiesis with multiple time-varying delays. The main purpose of this paper is to study the existence and the global exponential stability of the positive pseudo almost periodic solutions, which are more general and complicated than periodic and alm...
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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/10.1155/2013/463076 |
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| author | Junxia Meng |
| author_facet | Junxia Meng |
| author_sort | Junxia Meng |
| collection | DOAJ |
| description | This paper presents a new generalized model of hematopoiesis with multiple time-varying delays. The main purpose of this paper is to study the existence and the global exponential stability of the positive pseudo almost periodic solutions, which are more general and complicated than periodic and almost periodic solutions. Under suitable assumptions, and by using fixed point theorem, sufficient conditions are given to ensure that all solutions of this model converge exponentially to the positive pseudo almost periodic solution for the considered model. These results improve and extend some known relevant results. |
| format | Article |
| id | doaj-art-ca123ced7d74415ea3cfa323468085b6 |
| 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-ca123ced7d74415ea3cfa323468085b62025-02-03T05:50:50ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/463076463076Global Exponential Stability of Positive Pseudo-Almost-Periodic Solutions for a Model of HematopoiesisJunxia Meng0College of Mathematics, Physics and Information Engineering, Jiaxing University, Jiaxing, Zhejiang 314001, ChinaThis paper presents a new generalized model of hematopoiesis with multiple time-varying delays. The main purpose of this paper is to study the existence and the global exponential stability of the positive pseudo almost periodic solutions, which are more general and complicated than periodic and almost periodic solutions. Under suitable assumptions, and by using fixed point theorem, sufficient conditions are given to ensure that all solutions of this model converge exponentially to the positive pseudo almost periodic solution for the considered model. These results improve and extend some known relevant results.http://dx.doi.org/10.1155/2013/463076 |
| spellingShingle | Junxia Meng Global Exponential Stability of Positive Pseudo-Almost-Periodic Solutions for a Model of Hematopoiesis Abstract and Applied Analysis |
| title | Global Exponential Stability of Positive Pseudo-Almost-Periodic Solutions for a Model of Hematopoiesis |
| title_full | Global Exponential Stability of Positive Pseudo-Almost-Periodic Solutions for a Model of Hematopoiesis |
| title_fullStr | Global Exponential Stability of Positive Pseudo-Almost-Periodic Solutions for a Model of Hematopoiesis |
| title_full_unstemmed | Global Exponential Stability of Positive Pseudo-Almost-Periodic Solutions for a Model of Hematopoiesis |
| title_short | Global Exponential Stability of Positive Pseudo-Almost-Periodic Solutions for a Model of Hematopoiesis |
| title_sort | global exponential stability of positive pseudo almost periodic solutions for a model of hematopoiesis |
| url | http://dx.doi.org/10.1155/2013/463076 |
| work_keys_str_mv | AT junxiameng globalexponentialstabilityofpositivepseudoalmostperiodicsolutionsforamodelofhematopoiesis |