Low dimensional chaotic models for the plague epidemic in Bombay (1896--1911)

DOI10.1016/j.chaos.2015.09.014zbMath1355.37096OpenAlexW2188408364MaRDI QIDQ508510

Sylvain Mangiarotti

Publication date: 7 February 2017

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2015.09.014

zbMATH Keywords

chaotic systemplagueepizooticfleasglobal modelingrats

Mathematics Subject Classification ID

Epidemiology (92D30) Dynamical systems in biology (37N25) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Time series analysis of dynamical systems (37M10)

Related Items (6)

Simple multi-scale modeling of the transmission dynamics of the 1905 plague epidemic in Bombay ⋮ Control and anticontrol of chaos in fractional-order models of diabetes, HIV, dengue, migraine, Parkinson's and ebola virus diseases ⋮ A chaotic model for the epidemic of Ebola virus disease in West Africa (2013–2016) ⋮ Can the original equations of a dynamical system be retrieved from observational time series? ⋮ Space-time nature of causality ⋮ Uncertain impulsive Lotka-Volterra competitive systems: robust stability of almost periodic solutions

Cites Work

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• The model of Kermack and McKendrick for the plague epidemic in Bombay and the type reproduction number with seasonality
• Global models from the Canadian lynx cycles as a direct evidence for chaos in real ecosystems
• Dynamical effects of overparametrization in nonlinear models
• Global modeling of the Rössler system from the \(z\)-variable
• Two chaotic global models for cereal crops cycles observed from satellite in northern Morocco

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