Global dynamics of a discretized heroin epidemic model with time delay
Summary: We derive a discretized heroin epidemic model with delay by applying a nonstandard finite difference scheme. We obtain positivity of the solution and existence of the unique endemic equilibrium. We show that heroin-using free equilibrium is globally asymptotically stable when the basic reproduction number \(R_0 < 1\), and the heroin-using is permanent when the basic reproduction number \(R_0 > 1\).
scientific article; zbMATH DE number 7022995
scientific article