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Modeling the effects of carriers on transmission dynamics of infectious diseases

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  • An $S$-$I_c$-$I$-$R$ epidemic model is investigated for infectious diseases that can be transmitted through carriers, infected individuals who are contagious but do not show any disease symptoms. Mathematical analysis is carried out that completely determines the global dynamics of the model. The impacts of disease carriers on the transmission dynamics are discussed through the basic reproduction number and through numerical simulations.
    Mathematics Subject Classification: Primary: 92D40, 92D25; Secondary: 34D20.


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