 On an impulsive faecal-oral model in a periodically evolving environmentQi Zhou, Zhigui Lin and Carlos Alberto Santos Chaos, Solitons & Fractals, 2025, vol. 191, issue C Abstract: To understand how impulsive intervention and regional evolution jointly influence the spread of faecal-oral diseases, this paper develops an impulsive faecal-oral model in a periodically evolving environment. The well-posedness of the model is first checked. Then, the existence of the principal eigenvalue which depends on impulse intensity and evolving rate is proved based on the celebrated Krein–Rutman theorem. With the help of this value, the threshold dynamical behaviours of the model is investigated. More importantly, this paper also derives the monotonicity of the principal eigenvalue with respect to initial region and impulse intensity, and estimates the principal eigenvalue in some special cases. Finally, numerical simulations are used to verify the correctness of the theoretical results and understand the impact of regional evolution rate on the spread of the diseases. Our research shows that large impulsive intensity 1−g′(0) and small evolving rate ρ(t) play a positive role in the prevention and control of the diseases. Keywords: Faecal-oral model; Impulsive intervention; Evolving environment; Dynamical behaviours; Principal eigenvalue (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:191:y:2025:i:c:s0960077924013778 DOI: 10.1016/j.chaos.2024.115825 Access Statistics for this article Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros More articles in Chaos, Solitons & Fractals from Elsevier |
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