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

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

Blog Article

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 arm tray for wheelchair the basic reproduction numbers of heroin use and HIV infection are both less than 1.The 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 bauhaus stencil their stability, a coexistence equilibrium occurs, 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.