Coinfection dynamics of heroin transmission and HIV infection in a single population

Coinfection dynamics of heroin transmission and HIV infection in a single population

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We propose a model of a joint spread of heroin use and HIV infection.The unique disease-free equilibrium always exists and it is stable if the basic reproduction numbers of heroin use and HIV infection are both less than 1.The led bar mat semi-trivial equilibrium of HIV infection (heroin use) exists if the basic reproduction number of HIV infection (heroin use) is larger than 1 and it is locally stable if and only if the invasion number of heroin use (HIV infection) is less than 1.When both semi-trivial equilibria lose their stability, a coexistence equilibrium occurs, susanne kaufmann vitamin c complex which may not be unique.

We compare the model to US data on heroin use and HIV transmission.We conclude that the two diseases in the US are in a coexistence regime.Elasticities of the invasion numbers suggest two foci for control measures: targeting the drug abuse epidemic and reducing HIV risk in drug-users.