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Global stability of an epidemic model with nonlinear incidence rate and differential infectivity
- Source :
-
Applied Mathematics & Computation . Feb2005, Vol. 161 Issue 3, p769-778. 10p. - Publication Year :
- 2005
-
Abstract
- This paper considers an <f>SI1I2R</f> epidemic model that incorporates two classes of infectious individuals with differential infectivity, and the incidence rate is nonlinear. The basic reproduction number <f>R0</f> is found. If <f>R0⩽1</f>, the disease-free equilibrium is globally asymptotically stable and the disease always dies out eventually. If <f>R0>1</f>, a unique endemic equilibrium is locally asymptotically stable for general assumption. For a special case the global stability of the endemic equilibrium is proved. [Copyright &y& Elsevier]
- Subjects :
- *EPIDEMICS
*EQUILIBRIUM
*HEALTH
*DISEASES
Subjects
Details
- Language :
- English
- ISSN :
- 00963003
- Volume :
- 161
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Applied Mathematics & Computation
- Publication Type :
- Academic Journal
- Accession number :
- 15561810
- Full Text :
- https://doi.org/10.1016/j.amc.2003.12.121