Stability Analysis of a Multigroup Epidemic Model with General Exposed Distribution and Nonlinear Incidence Rates

Ling Zhang, Jingmei Pang and Jinliang Wang

Abstract and Applied Analysis, 2013, vol. 2013, 1-11

Abstract:

We investigate a class of multigroup epidemic models with general exposed distribution and nonlinear incidence rates. For a simpler case that assumes an identical natural death rate for all groups, and with a gamma distribution for exposed distribution is considered. Some sufficient conditions are obtained to ensure that the global dynamics are completely determined by the basic production number . The proofs of the main results exploit the method of constructing Lyapunov functionals and a graph-theoretical technique in estimating the derivatives of Lyapunov functionals.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:354287

DOI: 10.1155/2013/354287

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