Stochastic modeling of within host dynamics of HCV model under therapy

• Main Authors: Qaisar Badshah, Kottakkaran Sooppy Nisar, Ghaus ur Rahman, Ravi P. Agarwal, Saeed Islam
• Format: Article
• Language: English
• Published: Elsevier 2021-03-01
• Series: Results in Physics
• Subjects: HCV model; Drug therapy; Pth moment exponentially stability; Disease extension
• Online Access: http://www.sciencedirect.com/science/article/pii/S2211379721000139

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.