Epidemiology of Dengue Fever: A Model with Temporary Cross-Immunity and Possible Secondary Infection Shows Bifurcations and Chaotic Behaviour in Wide Parameter Regions
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Publication:2786674
DOI10.1051/mmnp:2008070zbMath1337.92126OpenAlexW2007477210WikidataQ57635141 ScholiaQ57635141MaRDI QIDQ2786674
Maíra Aguiar, Nico Stollenwerk, Bob W. Kooi
Publication date: 23 February 2016
Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1051/mmnp:2008070
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Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Routes to chaos in high-dimensional dynamical systems: a qualitative numerical study
- Seasonal dynamics and thresholds governing recurrent epidemics
- Singularities and groups in bifurcation theory. Volume I
- IDENTIFICATION OF TRUE AND SPURIOUS LYAPUNOV EXPONENTS FROM TIME SERIES
- Chaos in Dynamical Systems
- Elements of applied bifurcation theory
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