Global dynamics of an SEI model with acute and chronic stages

A model with acute and chronic stages in a population with exponentially varying size is proposed. An equivalent system is obtained, which has two equilibriums: a disease-free equilibrium and an endemic equilibrium. The stability of these two equilibriums is controlled by the basic reproduction number R"0. When R"0 1, the disease-free equilibrium is unstable and the unique endemic equilibrium is locally stable. When R"0>1 and @c=0,@a=0, the endemic equilibrium is globally stable in @C^0.

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