Theoretical and numerical results for an age-structured SIVS model with a general nonlinear incidence rate

DOI10.1080/17513758.2018.1528393zbMath1447.92496OpenAlexW2897426052WikidataQ57454940 ScholiaQ57454940MaRDI QIDQ3300961

Yuming Chen, Jun-Yuan Yang

Publication date: 31 July 2020

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

Full work available at URL: https://doi.org/10.1080/17513758.2018.1528393

zbMATH Keywords

persistenceLyapunov functionalinfection agenonlinear incidencevaccination age

Mathematics Subject Classification ID

Epidemiology (92D30) Global stability of solutions to ordinary differential equations (34D23) Medical epidemiology (92C60)

Related Items (3)

Analysis of an epidemiological model with age of infection, vaccination, quarantine and asymptomatic transmission ⋮ Global dynamics for a vector-borne disease model with class-age-dependent vaccination, latency and general incidence rate ⋮ Global dynamics of an SEIR model with two age structures and a nonlinear incidence

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Global analysis of an SIR epidemic model with infection age and saturated incidence
• Lyapunov functions and global stability for \(SIR\) and \(SIRS\) epidemiological models with non-linear transmission
• The global stability of an SIRS model with infection age
• A structured avian influenza model with imperfect vaccination and vaccine-induced asymptomatic infection
• Global dynamics for a class of age-infection HIV models with nonlinear infection rate
• Global stability of an SVIR model with age of vaccination
• Global stability of multi-group vaccination epidemic models with delays
• Global stability of an epidemic model with latent stage and vaccination
• Dynamics of infection with nonlinear incidence in a simple vaccination model
• Global stability for delay SIR and SEIR epidemic models with nonlinear incidence rate
• Global analysis of an infection age model with a class of nonlinear incidence rates
• Global threshold dynamics of an SIVS model with waning vaccine-induced immunity and nonlinear incidence
• Stability and bifurcation of an SIVS epidemic model with treatment and age of vaccination
• Uniform persistence and permanence for non-autonomous semiflows in population biology
• Global stability for an SEI epidemiological model with continuous age-structure in the exposed and infectious classes
• Global stability of a multi-group model with vaccination age, distributed delay and random perturbation
• Global stability of an SVEIR epidemic model with ages of vaccination and latency
• Strain replacement in an epidemic model with super-infection and perfect vaccination
• Global dynamics of a heroin epidemic model with age structure and nonlinear incidence
• Two-Group Infection Age Model Including an Application to Nosocomial Infection
• Lyapunov functional and global asymptotic stability for an infection-age model
• Differential equation models of some parasitic infections: Methods for the study of asymptotic behavior
• Endemic Models with Arbitrarily Distributed Periods of Infection I: Fundamental Properties of the Model
• Non-linear incidence and stability of infectious disease models

This page was built for publication: Theoretical and numerical results for an age-structured SIVS model with a general nonlinear incidence rate