Bifurcation analysis of a SEIR epidemic system with governmental action and individual reaction

DOI10.1186/s13662-020-02997-zzbMath1486.92195OpenAlexW3090073107WikidataQ100455291 ScholiaQ100455291MaRDI QIDQ2125781

Abdelhamid Ajbar, Rubayyi T. Alqahtani

Publication date: 14 April 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-020-02997-z

zbMATH Keywords

stabilitybifurcationHopf bifurcationSEIR modelgovernmental actionindividual response

Mathematics Subject Classification ID

Epidemiology (92D30) Dynamical systems in biology (37N25)

Uses Software

• AUTO
• AUTO-86

Cites Work

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• Complete coefficient criteria for five-dimensional Hopf bifurcations, with an application to economic dynamics
• Hopf bifurcation of a delayed epidemic model with information variable and limited medical resources
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• A modified SEIR model for the spread of Ebola in western Africa and metrics for resource allocation
• Extension and verification of the SEIR model on the 2009 influenza A (H1N1) pandemic in Japan
• An Introduction to Mathematical Epidemiology
• Nonlinear dynamic analysis of an epidemiological model for COVID-19 including public behavior and government action

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