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Zhang, Ling; Pang, Jingmei; Wang, Jinliang

Stability analysis of a multigroup epidemic model with general exposed distribution and nonlinear incidence rates. (English) Zbl 1288.92026

Abstr. Appl. Anal. 2013, Article ID 354287, 11 p. (2013).
Summary: 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 \(R_0\). 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.

Cited in 1 Document

MSC:

92D30 Epidemiology
34C60 Qualitative investigation and simulation of ordinary differential equation models
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\textit{L. Zhang} et al., Abstr. Appl. Anal. 2013, Article ID 354287, 11 p. (2013; Zbl 1288.92026)
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