Modeling secondary infections with temporary immunity and disease enhancement factor: mechanisms for complex dynamics in simple epidemiological models

DOI10.1016/j.chaos.2022.112709OpenAlexW4300819313MaRDI QIDQ2680090

Vanessa Steindorf, Nico Stollenwerk, Akhil Kumar Srivastav, Maíra Aguiar, Bob W. Kooi

Publication date: 26 January 2023

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2022.112709

zbMATH Keywords

chaosbifurcation analysisbi-stabilitytemporary immunitysecondary infectiondisease enhancement

Mathematics Subject Classification ID

Epidemiology (92D30) Medical epidemiology (92C60)

Related Items (2)

Symmetry in a multi-strain epidemiological model with distributed delay as a general cross-protection period and disease enhancement factor ⋮ Temporary cross-immunity as a plausible driver of asynchronous cycles of dengue serotypes

Uses Software

• MATCONT
• Mathematica
• Matlab
• AUTO
• AUTO-07P

Cites Work

• Unnamed Item
• On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
• Dynamical models of tuberculosis and their applications
• The role of seasonality and import in a minimalistic multi-strain dengue model capturing differences between primary and secondary infections: complex dynamics and its implications for data analysis
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Cross immunity protection and antibody-dependent enhancement in a distributed delay dynamic model
• Bifurcation analysis of a family of multi-strain epidemiology models
• Scale-free network of a dengue epidemic
• Epidemiology of Dengue Fever: A Model with Temporary Cross-Immunity and Possible Secondary Infection Shows Bifurcations and Chaotic Behaviour in Wide Parameter Regions
• Scaling of Stochasticity in Dengue Hemorrhagic Fever Epidemics
• Torus bifurcations, isolas and chaotic attractors in a simple dengue fever model with ADE and temporary cross immunity
• An Introduction to Mathematical Epidemiology
• MATCONT

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