Numerical treatment of stochastic heroin epidemic model

Abstract

Abstract We have presented the numerical analysis of a stochastic heroin epidemic model in this paper. The mean of stochastic heroin model is itself a deterministic solution. The effect of reproduction number has also been observed in the stochastic heroin epidemic model. We have developed some stochastic explicit and implicitly driven explicit methods for this model. But stochastic explicit methods have flopped for certain values of parameters. In support, some theorems and graphical illustrations are presented.

Keywords

• Heroin epidemic model
• Stochastic differential equations
• Stochastic schemes
• Convergence analysis