Gul Naseeb, Khan Sami Ullah, Ali Ishtiaq, Khan Farman Ullah
Department of Mathematics, City University of Science and Information Technology Peshawar, KP, Pakistan.
Department of Mathematics and Statistics, College of Science, King Faisal University, Al-Hasa, KSA.
Comput Methods Biomech Biomed Engin. 2022 Apr;25(5):578-592. doi: 10.1080/10255842.2021.1970143. Epub 2021 Aug 30.
In this research work, we present an exciting mathematical analysis of a stochastic model, using a standard incidence function, for infectious disease hepatitis C transmission dynamics. In this model, we divided the infected population into three different classes with two different infection stages known as chronic class and acute class while the third is an isolation class. We also presents briefly the Legendre spectral method for the numerical solution to the proposed model. It is observed that the disease-free equilibrium is asymptotically stable, when basic reproduction number It is also shown that the proposed model has a stable endemic equilibrium when the reproduction number Also, sensitivity analysis is carried out to study and identify the effect of parameters on . Moreover, we have performed numerical simulations to study the influence of disease free equilibrium and endemic equilibrium. Legendre polynomial and Legendre weight function are used to solve the proposed stochastic system numerically. Numerical results are compared against the basic reproduction number.
在这项研究工作中，我们使用标准发病率函数对丙型肝炎传染病传播动力学的随机模型进行了令人兴奋的数学分析。在该模型中，我们将感染人群分为三个不同类别，有两个不同的感染阶段，即慢性阶段和急性阶段，而第三个是隔离阶段。我们还简要介绍了用于所提出模型数值解的勒让德谱方法。据观察，当基本再生数 时，无病平衡点是渐近稳定的。还表明，当再生数 时，所提出的模型具有稳定的地方病平衡点。此外，进行了敏感性分析以研究和确定参数对 的影响。而且，我们进行了数值模拟以研究无病平衡点和地方病平衡点的影响。使用勒让德多项式和勒让德权函数对所提出的随机系统进行数值求解。将数值结果与基本再生数进行了比较。
