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A delayed discrete multi-group nonlinear epidemic model with vaccination and latency
Jing Hu,Zhijun Liu,Lianwen Wang,Ronghua Tan
Keywords:Discrete epidemic model, multi-group, delay, vaccination and latency
Abstract:
      A delayed discrete multi-group nonlinear epidemic model with vaccination and latency is derived by the application of a nonstandard finite difference scheme. It is proved that the extinction and persistence of the disease are determined by a threshold parameter in term of the basic reproduction number $R$. More precisely, when $R\leq 1$ the disease goes to extinction with the globally asymptotically stable disease-free equilibrium, while the disease is persistent with the globally asymptotically stable endemic equilibrium when $R>1$.