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, uniq...
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| Published in | European journal of applied mathematics pp. 1 - 15 |
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| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
| Published |
Cambridge University Press
08.08.2025
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0956-7925 1469-4425 |
| DOI | 10.1017/S0956792525100065 |
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| Abstract | 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. |
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| AbstractList | 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. |
| Author | Ding, Qian Yu, Jianshe Guo, Zhiming Chen, Yuming Liu, Yunfeng |
| Author_xml | – sequence: 1 givenname: Qian surname: Ding fullname: Ding, Qian – sequence: 2 givenname: Jianshe surname: Yu fullname: Yu, Jianshe – sequence: 3 givenname: Zhiming surname: Guo fullname: Guo, Zhiming – sequence: 4 givenname: Yuming surname: Chen fullname: Chen, Yuming – sequence: 5 givenname: Yunfeng surname: Liu fullname: Liu, Yunfeng |
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| Cites_doi | 10.1137/23M1600852 10.1056/NEJMe1213392 10.1007/1-4020-4051-2 10.1099/ijs.0.65248-0 10.1016/j.jde.2020.04.036 10.1007/s00285-011-0408-6 10.1007/s00285-013-0645-y 10.3934/dcds.2024159 10.1007/s00285-025-02198-w 10.3934/dcdsb.2016.21.699 10.3934/mbe.2017073 10.1016/j.jde.2024.09.032 10.2217/cer-2016-0045 10.1007/s00285-017-1130-9 10.1126/science.1117607 10.1038/353440a0 10.1093/jmedent/37.3.340 10.1016/j.jde.2023.11.024 10.1016/j.vaccine.2015.05.010 10.1111/j.1574-6968.2008.01110.x 10.3201/eid1206.051210 10.1016/j.jde.2023.01.014 10.1007/s00285-019-01342-7 10.1016/j.jde.2024.01.004 10.1146/annurev.micro.62.081307.163005 |
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| Title | Periodic dynamics of a general switching dynamical system |
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