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Updated: Oct 22, 2025
13:04
A Protocol for Analyzing Hepatitis C Virus Replication
Published on: June 26, 2014
24.4K
Transmission dynamic of stochastic hepatitis C model by spectral collocation method
Naseeb Gul1, Sami Ullah Khan1, Ishtiaq Ali2
1Department of Mathematics, City University of Science and Information Technology Peshawar, KP, Pakistan.
Computer Methods in Biomechanics and Biomedical Engineering
|August 30, 2021
Summary
This study analyzes a stochastic hepatitis C model with acute, chronic, and isolated stages. Mathematical analysis confirms disease-free and endemic equilibria stability, with parameter sensitivity identified.
Area of Science:
- Mathematical epidemiology
- Stochastic modeling
- Infectious disease dynamics
Background:
- Hepatitis C transmission involves complex dynamics requiring robust mathematical models.
- Understanding disease progression through different stages (acute, chronic, isolated) is crucial for control.
Purpose of the Study:
- To develop and analyze a stochastic mathematical model for hepatitis C transmission.
- To investigate the stability of disease-free and endemic equilibria.
- To perform sensitivity analysis of model parameters.
Main Methods:
- A stochastic differential equation model incorporating acute, chronic, and isolated infected classes.
- Analysis of disease-free and endemic equilibria using the basic reproduction number (R0).
- Application of the Legendre spectral method for numerical simulations.
Main Results:
- The disease-free equilibrium is asymptotically stable when R0 < 1.
- A stable endemic equilibrium exists when R0 > 1.
- Sensitivity analysis identified key parameters influencing R0 and disease dynamics.
Conclusions:
- The stochastic model provides insights into hepatitis C transmission dynamics.
- The Legendre spectral method offers an efficient numerical solution.
- Parameter variations significantly impact disease persistence and spread.
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