On multi-periodicity in a delayed model of hematopoiesis
Abstract In this paper, we study a periodic model of hematopoiesis with a time-varying delay. Some new criteria are established to ensure that there are at least two positive periodic solutions by applying Krasnoselskii’s fixed point theorem, which are essentially new and complement some existing on...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2019-01-01
|
| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-019-1949-z |
| _version_ | 1828374775570890752 |
|---|---|
| author | Lian Duan Shimin Chen Hang Xiao Xianwen Fang |
| author_facet | Lian Duan Shimin Chen Hang Xiao Xianwen Fang |
| author_sort | Lian Duan |
| collection | DOAJ |
| description | Abstract In this paper, we study a periodic model of hematopoiesis with a time-varying delay. Some new criteria are established to ensure that there are at least two positive periodic solutions by applying Krasnoselskii’s fixed point theorem, which are essentially new and complement some existing ones. Moreover, numerical simulations are performed to substantiate the effectiveness of the theoretical analysis. |
| first_indexed | 2024-04-14T07:37:44Z |
| format | Article |
| id | doaj.art-90aa5a282adb4d7db08b6bc197b8bb8e |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-04-14T07:37:44Z |
| publishDate | 2019-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-90aa5a282adb4d7db08b6bc197b8bb8e2022-12-22T02:05:38ZengSpringerOpenAdvances in Difference Equations1687-18472019-01-01201911910.1186/s13662-019-1949-zOn multi-periodicity in a delayed model of hematopoiesisLian Duan0Shimin Chen1Hang Xiao2Xianwen Fang3School of Mathematics and Big Data, Anhui University of Science and TechnologySchool of Mathematics and Big Data, Anhui University of Science and TechnologySchool of Mathematics and Big Data, Anhui University of Science and TechnologySchool of Mathematics and Big Data, Anhui University of Science and TechnologyAbstract In this paper, we study a periodic model of hematopoiesis with a time-varying delay. Some new criteria are established to ensure that there are at least two positive periodic solutions by applying Krasnoselskii’s fixed point theorem, which are essentially new and complement some existing ones. Moreover, numerical simulations are performed to substantiate the effectiveness of the theoretical analysis.http://link.springer.com/article/10.1186/s13662-019-1949-zHematopoiesisMulti-periodicityKrasnoselskii’s fixed point theorem |
| spellingShingle | Lian Duan Shimin Chen Hang Xiao Xianwen Fang On multi-periodicity in a delayed model of hematopoiesis Advances in Difference Equations Hematopoiesis Multi-periodicity Krasnoselskii’s fixed point theorem |
| title | On multi-periodicity in a delayed model of hematopoiesis |
| title_full | On multi-periodicity in a delayed model of hematopoiesis |
| title_fullStr | On multi-periodicity in a delayed model of hematopoiesis |
| title_full_unstemmed | On multi-periodicity in a delayed model of hematopoiesis |
| title_short | On multi-periodicity in a delayed model of hematopoiesis |
| title_sort | on multi periodicity in a delayed model of hematopoiesis |
| topic | Hematopoiesis Multi-periodicity Krasnoselskii’s fixed point theorem |
| url | http://link.springer.com/article/10.1186/s13662-019-1949-z |
| work_keys_str_mv | AT lianduan onmultiperiodicityinadelayedmodelofhematopoiesis AT shiminchen onmultiperiodicityinadelayedmodelofhematopoiesis AT hangxiao onmultiperiodicityinadelayedmodelofhematopoiesis AT xianwenfang onmultiperiodicityinadelayedmodelofhematopoiesis |