The discrete age-structured SEIT model with application to tuberculosis transmission in China
From MaRDI portal
Publication:1930950
DOI10.1016/j.mcm.2011.08.017zbMath1255.39007OpenAlexW1982399666MaRDI QIDQ1930950
Publication date: 24 January 2013
Published in: Mathematical and Computer Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.mcm.2011.08.017
Epidemiology (92D30) Growth, boundedness, comparison of solutions to difference equations (39A22) Stability theory for difference equations (39A30)
Related Items (16)
Global stability of the endemic equilibrium of a discrete SIR epidemic model ⋮ A study on vaccination models for a seasonal epidemic process ⋮ Stability analysis for a class of discrete schistosomiasis models with general incidence ⋮ Dynamical analysis of an SEIT epidemic model with application to Ebola virus transmission in Guinea ⋮ On stability and reachability of perturbed positive systems ⋮ Dynamical analysis of an age-structured tuberculosis mathematical model with LTBI detectivity ⋮ Dynamics of infectious diseases: a review of the main biological aspects and their mathematical translation ⋮ THE DYNAMICS OF A DISCRETE SEIT MODEL WITH AGE AND INFECTION AGE STRUCTURES ⋮ Modelling COVID-19 dynamics and potential for herd immunity by vaccination in Austria, Luxembourg and Sweden ⋮ Mixed vaccination strategy for the control of tuberculosis: a case study in China ⋮ The discrete tuberculosis transmission model with treatment of latently infected individuals ⋮ Global attractivity for a class of delayed discrete SIRS epidemic models with general nonlinear incidence ⋮ Global dynamics for a class of discrete SEIRS epidemic models with general nonlinear incidence ⋮ Parameter identification and estimation for stage-structured population models ⋮ Structured parametric epidemic models ⋮ An international initiative of predicting the SARS-CoV-2 pandemic using ensemble data assimilation
Cites Work
- On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
- Some discrete-time SI, SIR, and SIS epidemic models
- A model for an SI disease in an age-structured population
- Applications of Perron-Frobenius theory to population dynamics
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
- Discrete-time S-I-S models with complex dynamics.
- Comparison of deterministic and stochastic SIS and SIR models in discrete time
- Global stability of a class of discrete age-structured SIS models with immigration
- A Two-Strain Tuberculosis Model with Age of Infection
- Discrete-Time SIS EpidemicModel in a Seasonal Environment
- The basic reproduction number in some discrete-time epidemic models
- Dynamical systems in population biology
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: The discrete age-structured SEIT model with application to tuberculosis transmission in China