A Lyapunov–Schmidt method for detecting backward bifurcation in age-structured population models

DOI10.1080/17513758.2020.1785024zbMath1447.92450OpenAlexW3039972922WikidataQ96948022 ScholiaQ96948022MaRDI QIDQ3304368

Maia Martcheva, Hisashi Inaba

Publication date: 31 July 2020

Published in: Journal of Biological Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17513758.2020.1785024

zbMATH Keywords

epidemic modelbackward bifurcationage-structured population modelLyapunov-Schmidt theory

Mathematics Subject Classification ID

Epidemiology (92D30) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Bifurcations in context of PDEs (35B32) Medical epidemiology (92C60)

Related Items (8)

Backward bifurcation of an age-structured epidemic model with partial immunity: the Lyapunov-Schmidt approach ⋮ A novel method for basic reproduction ratio of a diffusive size-structured population model with delay ⋮ Dynamical analysis and optimal control for an age-structure HIV transmission model ⋮ Existence of the backward bifurcation of a non-Markovian SIS-network model with saturation treatment function ⋮ Impact of ontogenic changes on the dynamics of a fungal crop disease model motivated by coffee leaf rust ⋮ Modeling and research on an immuno-epidemiological coupled system with coinfection ⋮ An age-structured epidemic model with boosting and waning of immune status ⋮ Modelling and prevention of crime using age-structure and law enforcement

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• Lyapunov functional and global asymptotic stability for an infection-age model
• How May Infection-Age-Dependent Infectivity Affect the Dynamics of HIV/AIDS?
• Age-Structured Population Dynamics in Demography and Epidemiology

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