Transmission dynamic of stochastic hepatitis C model by spectral collocation method. Issue 5 (4th April 2022)

• Record Type: Journal Article
• Authors: Gul, Naseeb; Khan, Sami Ullah; Ali, Ishtiaq; Khan, Farman Ullah
• Is Part Of: Computer methods in biomechanics and biomedical engineering. Volume 25:Issue 5(2022)
• Page Start: 578
• Page End: 592
• Publication Date: 2022-04-04
• Subjects: Legendre spectral collocation method -- Stochastic hepatitis C model -- Brownian motion -- stochastic asymptotic stability -- Legendre–Gauss–Lobatto points -- basic reproduction number; Biomechanics -- Data processing -- Periodicals; Biomedical engineering -- Periodicals; Biomechanics -- Periodicals; Biomedical Engineering -- methods -- Periodicals; Computing Methodologies -- Periodicals; 612.7
• DOI: 10.1080/10255842.2021.1970143
• Languages: English
• ISSNs: 1025-5842

Abstract

Abstract: 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 R 0 < 1 . It is also shown that the proposed model has a stable endemic equilibrium when the reproduction number R 0 > 1 . Also, sensitivity analysis is carried out to study and identify the effect of parameters on R 0 . 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.