A novel compartmental VSLIT model used to analyze the dynamics of tuberculosis in Algeria and Ukraine and the assessment of vaccination and treatment effects
DOI10.1007/S11253-024-02301-2zbMATH Open1539.9214MaRDI QIDQ6539986
Bouchra Chennaf, Mohammed-Salah Abdelouahab, René Lozi
Publication date: 15 May 2024
Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)
Epidemiology (92D30) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23) Medical epidemiology (92C60)
Cites Work
- On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
- Global stability and optimal control for a tuberculosis model with vaccination and treatment
- A contribution to the mathematical theory of epidemics.
- Global stability of general cholera models with nonlinear incidence and removal rates
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
- Analysing of Tuberculosis in Turkey through SIR, SEIR and BSEIR Mathematical Models
- Mathematical analysis of a tuberculosis model with imperfect vaccine
- Bifurcation analysis of a model of tuberculosis epidemic with treatment of wider population suggesting a possible role in the seasonality of this disease
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