A perturbative approach to the analysis of many-compartment models characterized by the presence of waning immunity

DOI10.1007/s00285-023-01994-6zbMath1525.34074arXiv2109.05605OpenAlexW4386935736MaRDI QIDQ6056538

Shoshana Elgart

Publication date: 2 October 2023

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.05605

zbMATH Keywords

perturbation theoryordinary differential equations (ODEs)waning immunityinfectious disease modeling

Mathematics Subject Classification ID

Epidemiology (92D30) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05)

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• Matrix Analysis
• Stability Switches Induced by Immune System Boosting in an SIRS Model with Discrete and Distributed Delays
• Dynamics of an SIRWS model with waning of immunity and varying immune boosting period

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