ArticleJournal of mathematical biology2017
Chaotic dynamics in the seasonally forced SIR epidemic model.
Article in Journal of mathematical biology, 2017. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 6 papers.
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Who cites it
6 citing papers in PubMed.
- Double Hopf bifurcation and chaotic dynamics in a periodically-forced SIR model.Scientific reports · 2025Article
- Generation of multi-scrolls in corona virus disease 2019 (COVID-19) chaotic system and its impact on the zero-covid policy.Scientific reports · 2023Article
- The Role of Movement Patterns in Epidemic Models on Complex Networks.Bulletin of mathematical biology · 2021Article
- FPGA Realizations of Chaotic Epidemic and Disease Models Including Covid-19.IEEE access : practical innovations, open solutions · 2021Article
- How can contemporary climate research help understand epidemic dynamics? Ensemble approach and snapshot attractors.Journal of the Royal Society, Interface · 2020Article
- Chaos analysis and explicit series solutions to the seasonally forced SIR epidemic model.Journal of mathematical biology · 2019Article
Corrections and comments
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Authors and funding
3 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
We prove analytically the existence of chaotic dynamics in the forced SIR model. Although numerical experiments have already suggested that this model can exhibit chaotic dynamics, a rigorous proof (without computer-aided) was not given before. Under seasonality in the transmission rate, the coexistence of low birth and mortality rates with high recovery and transmission rates produces infinitely many periodic and aperiodic patterns together with sensitive dependence on the initial conditions.
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