Final and peak epidemic sizes of immuno-epidemiological SIR models

DOI10.3934/dcdsb.2024049MaRDI QIDQ6614239

Yi Wang, Zhimin Han, Zhen Jin

Publication date: 7 October 2024

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

zbMATH Keywords

heterogeneous networkfinal epidemic sizemulti-scale epidemic modelepidemiological reproduction numberpeak epidemic size

Mathematics Subject Classification ID

Epidemiology (92D30) Linear ordinary differential equations and systems (34A30) Pathology, pathophysiology (92C32)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Optimal viral production
• Global stability of an infection-age structured HIV-1 model linking within-host and between-host dynamics
• A generalized Clairaut's theorem in Minkowski space
• The effect of contact heterogeneity and multiple routes of transmission on final epidemic size
• An age-structured epidemic model of rotavirus with vaccination
• Perron-Frobenius theorem for nonnegative tensors
• Superinfections can induce evolutionarily stable coexistence of pathogens
• A note on the global behaviour of the network-based SIS epidemic model
• Global stability of an age-structure model for TB and its applications to optimal vaccination strategies
• Transient dynamics and early diagnostics in infectious disease
• A mathematical model for coupling within-host and between-host dynamics in an environmentally-driven infectious disease
• Explicit formulae for the peak time of an epidemic from the SIR model
• Size and timescale of epidemics in the SIR framework
• Epidemic spreading in metapopulation networks with heterogeneous mobility rates
• Evolution of virulence: interdependence, constraints, and selection using nested models
• A network immuno-epidemiological HIV model
• Mathematical analysis of epidemic models with treatment in heterogeneous networks
• Dynamical analysis of an immumo-epidemiological coupled system on complex networks
• Correction to: ``Coupling the within-host process and between-host transmission of COVID-19 suggests vaccination and school closures are critical
• Existence of exact solution of the susceptible-exposed-infectious-recovered (SEIR) epidemic model
• The Role of Asymptomatic Infections in the COVID-19 Epidemic via Complex Networks and Stability Analysis
• An Introduction to Mathematical Epidemiology
• Rich dynamics of a bidirectionally linked immuno-epidemiological model for cholera
• A coupled evolutionary model of the viral virulence in an SIS community
• Epidemic dynamics of influenza-like diseases spreading in complex networks

This page was built for publication: Final and peak epidemic sizes of immuno-epidemiological SIR models