Global dynamics for a vector-borne disease model with class-age-dependent vaccination, latency and general incidence rate

DOI10.1007/s12346-020-00407-zzbMath1448.35523OpenAlexW3041148925MaRDI QIDQ2006828

Shengfu Wang, Lin-Fei Nie

Publication date: 12 October 2020

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-020-00407-z

zbMATH Keywords

Lyapunov functionalfluctuation lemmavector-borne diseasegeneral incidence rateclass-age structuredstability and uniform persistence

Mathematics Subject Classification ID

Epidemiology (92D30) Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Computational methods for problems pertaining to biology (92-08)

Related Items (5)

Dynamical analysis of an age‐structured SIRE epidemic model with two routes of infection in environment ⋮ Deterministic and stochastic evolution of rumor propagation model with media coverage and class‐age‐dependent education ⋮ GLOBAL DYNAMICS AND OPTIMAL CONTROL FOR A VECTOR-BORNE EPIDEMIC MODEL WITH MULTI-CLASS-AGE STRUCTURE AND HORIZONTAL TRANSMISSION ⋮ Global dynamics of a vector-borne disease model with direct transmission and differential susceptibility ⋮ Global dynamics and optimal control of multi-age structured vector disease model with vaccination, relapse and general incidence

Cites Work

• Unnamed Item
• Unnamed Item
• Modelling weekly vector control against Dengue in the Guangdong Province of China
• Global analysis of age-structured within-host virus model
• Analysis of an SVEIS epidemic model with partial temporary immunity and saturation incidence rate
• Global stability of an SVIR model with age of vaccination
• Dynamical aspects of an age-structured SIR endemic model
• Analysis of an age structured model for tick populations subject to seasonal effects
• Global stability of an epidemic model with latent stage and vaccination
• Global dynamics of a dengue epidemic mathematical model
• Dynamics of infection with nonlinear incidence in a simple vaccination model
• An age dependent epidemic model
• A model for dengue disease with variable human population
• Analysis of a dengue disease transmission model
• Competitive exclusion in a vector-host model for the dengue fever
• Global stability of an epidemic model with age-dependent vaccination, latent and relapse
• Lyapunov functions and global stability for SIR and SEIR models with age-dependent suscepti\-bility
• Global dynamics of a vector-borne disease model with infection ages and general incidence rates
• Global stability of an age-structure epidemic model with imperfect vaccination and relapse
• A comparative analysis of the relative efficacy of vector-control strategies against dengue fever
• Bifurcation analysis of an SIRS epidemic model with a generalized nonmonotone and saturated incidence rate
• Persistence in Infinite-Dimensional Systems
• Global dynamics of an epidemiological model with age of infection and disease relapse
• Theoretical and numerical results for an age-structured SIVS model with a general nonlinear incidence rate
• 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
• The effect of vector control strategy against Dengue transmission between mosquitoes and humans
• Dynamics of a dengue epidemic model with class-age structure
• An Introduction to Mathematical Epidemiology
• An Age-Structured Model for the Transmission Dynamics of Hepatitis B
• Global Attractors and Steady States for Uniformly Persistent Dynamical Systems
• Functional differential equations

This page was built for publication: Global dynamics for a vector-borne disease model with class-age-dependent vaccination, latency and general incidence rate