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Global stability of the endemic equilibrium of multigroup SIR models with nonlinear incidence

โœ Scribed by Ruoyan Sun

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
235 KB
Volume
60
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

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 R 0 . It shows that, the basic reproduction number R 0 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.

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