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Modeling Hepatitis B Virus Infection in Non-Hepatic 293T-NE-3NRs Cells
Published on: June 5, 2020
Modeling different infectious phases of hepatitis B with generalized saturated incidence: An analysis and control
Tahir Khan1, Fathalla A Rihan1, Muhammad Ibrahim2
1Department of Mathematical Sciences, UAE University, P.O.Box 15551, Al-Ain, United Arab Emirates.
Insights
This study models Hepatitis B virus (HBV) infection dynamics using a generalized saturated incidence rate. The model aids in understanding disease progression and developing control strategies to reduce HBV prevalence.
Area of Science:
- Epidemiology
- Mathematical Biology
- Virology
Background:
- Hepatitis B virus (HBV) infection is a major global health concern, causing significant mortality and morbidity.
- Approximately 250 million people worldwide suffer from chronic Hepatitis B, a condition linked to liver damage and cancer.
- Existing models may oversimplify HBV's complex infection phases, necessitating more sophisticated approaches.
Purpose of the Study:
- To develop and analyze a mathematical model for Hepatitis B infection dynamics.
- To incorporate multiple infection phases using a generalized saturated incidence rate.
- To explore potential control strategies for mitigating HBV spread and impact.
Main Methods:
- Construction of a mathematical model for HBV infection dynamics.
- Analysis of model well-posedness, reproduction number, and equilibria.
- Investigation of model stability conditions and control strategies.
- Numerical simulations to validate biological significance and control implementation.
Main Results:
- The proposed model was demonstrated to be well-posed.
- Analysis provided insights into the time dynamics and stability of HBV infection.
- The study identified potential control mechanisms to manage HBV infection rates.
Conclusions:
- A generalized saturated incidence rate model effectively captures the complex dynamics of Hepatitis B infection phases.
- The model serves as a valuable tool for understanding HBV epidemiology and evaluating control interventions.
- Further research can refine control strategies for more effective HBV prevention and management.
Abstract:
Hepatitis B is one of the global health issues caused by the hepatitis B virus (HBV), producing 1.1 million deaths yearly. The acute and chronic phases of HBV are significant because worldwide, approximately 250 million people are infected by chronic hepatitis B. The chronic stage is a long-term, persistent infection that can cause liver damage and increase the risk of liver cancer. In the case of multiple phases of infection, a generalized saturated incidence rate model is more reasonable than a simply saturated incidence because it captures the complex dynamics of the different infection phases. In contrast, a simple saturated incidence rate model assumes a fixed shape for the incidence rate curve, which may not accurately reflect the dynamics of multiple infection phases. Considering HBV and its various phases, we constructed a model to present the dynamics and control strategies using the generalized saturated incidence. First, we proved that the model is well-posed. We then found the reproduction quantity and model equilibria to discuss the time dynamics of the model and investigate the conditions for stabilities. We also examined a control mechanism by introducing various controls to the model with the aim to increase the population of those recovered and minimize the infected people. We performed numerical experiments to check the biological significance and control implementation.
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