Periodic dynamics of a general switching dynamical system
Seasonal changes and cyclical human activities (such as periodic fishing bans, Wolbachia-based mosquito population control, and school term breaks) have significant impacts on population dynamics. We propose a general switching dynamical model to describe these periodic changes. The existence, uniqu...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Cambridge University Press
|
| Series: | European Journal of Applied Mathematics |
| Subjects: | |
| Online Access: | https://www.cambridge.org/core/product/identifier/S0956792525100065/type/journal_article |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849397586646007808 |
|---|---|
| author | Qian Ding Jianshe Yu Zhiming Guo Yuming Chen Yunfeng Liu |
| author_facet | Qian Ding Jianshe Yu Zhiming Guo Yuming Chen Yunfeng Liu |
| author_sort | Qian Ding |
| collection | DOAJ |
| description | Seasonal changes and cyclical human activities (such as periodic fishing bans, Wolbachia-based mosquito population control, and school term breaks) have significant impacts on population dynamics. We propose a general switching dynamical model to describe these periodic changes. The existence, uniqueness and stability of positive periodic solutions are thoroughly investigated. The results are stated in terms of an introduced threshold value. To demonstrate their practicability, the obtained results are applied to two biological situations. |
| format | Article |
| id | doaj-art-e5fc2e906cca44749bd0d1ebfa3a8620 |
| institution | Kabale University |
| issn | 0956-7925 1469-4425 |
| language | English |
| publisher | Cambridge University Press |
| record_format | Article |
| series | European Journal of Applied Mathematics |
| spelling | doaj-art-e5fc2e906cca44749bd0d1ebfa3a86202025-08-20T03:38:55ZengCambridge University PressEuropean Journal of Applied Mathematics0956-79251469-442511510.1017/S0956792525100065Periodic dynamics of a general switching dynamical systemQian Ding0Jianshe Yu1Zhiming Guo2Yuming Chen3Yunfeng Liu4Center for Applied Mathematics, Guangzhou University, Guangzhou, Guangdong, China College of Science, Hunan City University, Yiyang, ChinaCenter for Applied Mathematics, Guangzhou University, Guangzhou, Guangdong, ChinaSchool of Mathematics and Information Sciences, Guangzhou University, Guangzhou, Guangdong, ChinaDepartment of Mathematics, Wilfrid Laurier University, Waterloo, ON, CanadaCenter for Applied Mathematics, Guangzhou University, Guangzhou, Guangdong, China School of Mathematics and Information Sciences, Guangzhou University, Guangzhou, Guangdong, ChinaSeasonal changes and cyclical human activities (such as periodic fishing bans, Wolbachia-based mosquito population control, and school term breaks) have significant impacts on population dynamics. We propose a general switching dynamical model to describe these periodic changes. The existence, uniqueness and stability of positive periodic solutions are thoroughly investigated. The results are stated in terms of an introduced threshold value. To demonstrate their practicability, the obtained results are applied to two biological situations.https://www.cambridge.org/core/product/identifier/S0956792525100065/type/journal_articleseasonal changecyclical human activityswitching dynamical systemperiodic solution34K1392D2534K0934K2092D3092D40 |
| spellingShingle | Qian Ding Jianshe Yu Zhiming Guo Yuming Chen Yunfeng Liu Periodic dynamics of a general switching dynamical system European Journal of Applied Mathematics seasonal change cyclical human activity switching dynamical system periodic solution 34K13 92D25 34K09 34K20 92D30 92D40 |
| title | Periodic dynamics of a general switching dynamical system |
| title_full | Periodic dynamics of a general switching dynamical system |
| title_fullStr | Periodic dynamics of a general switching dynamical system |
| title_full_unstemmed | Periodic dynamics of a general switching dynamical system |
| title_short | Periodic dynamics of a general switching dynamical system |
| title_sort | periodic dynamics of a general switching dynamical system |
| topic | seasonal change cyclical human activity switching dynamical system periodic solution 34K13 92D25 34K09 34K20 92D30 92D40 |
| url | https://www.cambridge.org/core/product/identifier/S0956792525100065/type/journal_article |
| work_keys_str_mv | AT qianding periodicdynamicsofageneralswitchingdynamicalsystem AT jiansheyu periodicdynamicsofageneralswitchingdynamicalsystem AT zhimingguo periodicdynamicsofageneralswitchingdynamicalsystem AT yumingchen periodicdynamicsofageneralswitchingdynamicalsystem AT yunfengliu periodicdynamicsofageneralswitchingdynamicalsystem |