Global dynamics of a discrete SEIR epidemic model with treatment

DOI10.5269/BSPM.62203OpenAlexW4320925983MaRDI QIDQ6194696

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Publication date: 16 February 2024

Published in: Boletim da Sociedade Paranaense de Matemática (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5269/bspm.62203

zbMATH Keywords

global stabilityequilibriatreatmentdiscrete modelbackward difference

Mathematics Subject Classification ID

Global stability of solutions to ordinary differential equations (34D23) General biology and biomathematics (92B05) Stability theory for difference equations (39A30)

Cites Work

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• Qualitative analysis of an age-structured SEIR epidemic model with treatment
• On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
• Global dynamics in a class of discrete-time epidemic models with disease courses
• Global dynamics for a class of discrete SEIRS epidemic models with general nonlinear incidence
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Lyapunov functions for a class of discrete SIRS epidemic models with nonlinear incidence rate and varying population sizes
• The Mathematics of Infectious Diseases
• Mathematical analysis of a model for ectoparasite‐borne diseases

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