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Global stability of the endemic equilibrium of multigroup SIR models with nonlinear incidence
- Source :
-
Computers & Mathematics with Applications . Oct2010, Vol. 60 Issue 8, p2286-2291. 6p. - Publication Year :
- 2010
-
Abstract
- Abstract: In this paper, we introduce a basic reproduction number for a multigroup epidemic model with nonlinear incidence. Then, we establish that global dynamics are completely determined by the basic reproduction number . It shows that, the basic reproduction number is a global threshold parameter in the sense that if it is less than or equal to one, the disease free equilibrium is globally stable and the disease dies out; whereas if it is larger than one, there is a unique endemic equilibrium which is globally stable and thus the disease persists in the population. Finally, a numerical example is also included to illustrate the effectiveness of the proposed result. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 08981221
- Volume :
- 60
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Computers & Mathematics with Applications
- Publication Type :
- Academic Journal
- Accession number :
- 54011951
- Full Text :
- https://doi.org/10.1016/j.camwa.2010.08.020