The Asymptotic Analysis of an Epidemic Model with Quarantine and Infection-age-Dependence

The Asymptotic Analysis of an Epidemic Model with Quarantine and Infection-age-Dependence

Dynamical behavior of a high-dimension nonlinear SEIQR model with infection-age-dependence is studied. The existence and uniqueness of positive solution of differential-integral equations is proved. By analyzing the asymptotical behaviors of the model, the threshold is found and stabilities of disea...

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Bibliographische Detailangaben
Hauptverfasser: Zhang, Su-xia, Qin, Xin-qiang
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Asymptotic stability
Differential equations
Diseases
Mathematical model
Nonlinear equations
Stability analysis
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Beschreibung
Zusammenfassung:Dynamical behavior of a high-dimension nonlinear SEIQR model with infection-age-dependence is studied. The existence and uniqueness of positive solution of differential-integral equations is proved. By analyzing the asymptotical behaviors of the model, the threshold is found and stabilities of disease-free and endemic equilibria are obtained.
ISSN:2151-7614
2151-7622
DOI:10.1109/ICBBE.2010.5517686