Global Stability for an SIR Infectious Diseases Model with Dispersal

Global Stability for an SIR Infectious Diseases Model with Dispersal

An SIR infectious diseases model with dispersal between two disjoint patches is addressed and discussed. The basic reproduction number R 0 is defined as the threshold parameter. If R 0 is below unity, the disease-free equilibrium is shown to be globally asymptotically stable. If R 0 is above unity a...

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Bibliographische Detailangaben
Hauptverfasser: Luju Liu, Weiyun Cai, Shifei Wang
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Asymptotic stability
Biological system modeling
Diseases
dispersal
Educational institutions
Equations
globally asymptotically stable
Lyapunov function
Mathematical model
Stability analysis
the basic reproduction number
the endemic equilibrium
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Zusammenfassung:An SIR infectious diseases model with dispersal between two disjoint patches is addressed and discussed. The basic reproduction number R 0 is defined as the threshold parameter. If R 0 is below unity, the disease-free equilibrium is shown to be globally asymptotically stable. If R 0 is above unity and the minor condition holds, the disease persists in the population, and the unique endemic equilibrium is globally asymptotically stable.
DOI:10.1109/CSO.2012.81