A multi-group epidemic model with a variables separated incidence rate and delays is analyzed.For strongly and non-strongly connected networks,the basic reproductive number R0 is calculated,respectively.By applying the Lyapunov functionals and the La Salle invariance principle,we prove the global asymptotic stability of infection-free equilibrium P0 when R0 < 1 and the endemic equilibrium P*when R0 > 1.
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