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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Bibliographic Details
Published inEuropean journal of applied mathematics pp. 1 - 15
Main Authors Ding, Qian, Yu, Jianshe, Guo, Zhiming, Chen, Yuming, Liu, Yunfeng
Format Journal Article
LanguageEnglish
Published Cambridge University Press 08.08.2025
Subjects
34K09
34K13
34K20
92D25
92D30
92D40
cyclical human activity
periodic solution
seasonal change
switching dynamical system
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ISSN0956-7925
1469-4425
DOI10.1017/S0956792525100065

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Summary: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.
ISSN:0956-7925
1469-4425
DOI:10.1017/S0956792525100065