A new mathematical model is formulated governing the dynamics of HCV infection. In order to study a more realistic situation, the death rates as well as contact ratio are perturbed via Gaussian white noise. Stochastic calculus is used to carry out related results. To see the efficiency of drug therapy, infected cells are divided into $n$ different sub-compartments. Initially, it is shown that the solution of the newly proposed model exists and lies in the positive part of “$n+3$” dimensional Euclidean space. We are also interested to show that the infected population tends to extinction exponentially. To do this mathematically we explore results that provide information about the moment exponentially stability, pth-moment exponential stability as well as almost sure exponential stability of the underlying system. Afterward, some mathematical results will be expounded that will inform about extinction of the disease. To conclude the present research work we provide several examples to show the authenticity of the obtained theoretical results.

建立了新的数学模型来控制HCV感染的动态。为了研究更现实的情况，通过高斯白噪声干扰死亡率和接触率。随机演算用于执行相关结果。为了了解药物治疗的效率，将感染的细胞分为$ñ$不同的子隔间。最初表明，新提出的模型的解存在并且位于“$ñ+3$欧几里德空间。我们也有兴趣证明受感染的人口呈灭绝趋势。为了数学上做到这一点，我们探索了提供有关矩指数稳定性，pth矩指数稳定性以及底层系统几乎确定的指数稳定性的信息的结果。之后，将阐述一些数学结果，这些信息将说明该疾病的灭绝。总结当前的研究工作，我们提供了几个例子来证明所获得的理论结果的真实性。