海洛因传染病模型的确定性与随机性的全局分析

Global Analysis of a Deterministic and Stochastic Heroin Epidemic Model

建立海洛因传染病模型.证明无毒平衡点在一定条件下是全局稳定的.对随机模型,证明解的全局存在和正性,证明在强烈的白噪声扰动下,无毒平衡点以概率和p阶矩全局稳定.

In this paper, we construct heroin epidemic model. We derive global stability of the drug-free equilibrium under some conditions. For the stochastic version, the global existence and positivity of the solution is showed, the global stability in probability and pth moment of the drug-free equilibrium is also proved under suitable condition on the intensity of the white noise perturbation.