Analysis of a Delayed SIR Epidemic Model

Analysis of a Delayed SIR Epidemic Model

An SIR epidemic model with incubation time and saturated incidence rate is formulated, where the susceptibles are assumed to satisfy the logistic equation and the incidence term is of saturated form with the infective. Threshold quantity R 0 is derived which determines whether the disease dies out o...

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Bibliographische Detailangaben
Hauptverfasser: Jin-Zhu Zhang, Jian-Jun Wang, Tie-Xiong Su, Zhen Jin
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Analytical models
Biological system modeling
Diseases
Equations
globalstability
Mathematical model
permanence
SIR model
Stability analysis
timedelay
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Beschreibung
Zusammenfassung:An SIR epidemic model with incubation time and saturated incidence rate is formulated, where the susceptibles are assumed to satisfy the logistic equation and the incidence term is of saturated form with the infective. Threshold quantity R 0 is derived which determines whether the disease dies out or remains endemic. If R 0 1, there will be an endemic and the disease is permanent if it initially exists.
DOI:10.1109/CASoN.2010.50