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A Competent Hepatocyte Model Examining Hepatitis B Virus Entry through Sodium Taurocholate Cotransporting Polypeptide as a Therapeutic Target
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Numerical solution of diffusive HBV model in a fractional medium.
1Department of Mathematical Sciences, Federal University of Technology, PMB 704, Akure, Ondo State Nigeria ; Institute for Groundwater Studies, Faculty of Natural and Agricultural Sciences, University of the Free State, Bloemfontein, 9300 South Africa.
Springerplus
|October 11, 2016
Summary
This study models hepatitis B virus (HBV) spread using fractional reaction-diffusion equations. Findings show that controlling HBV is achievable with vaccination and treatment when the basic reproduction number is low.
Area of Science:
- Mathematical modeling
- Epidemiology
- Fractional calculus
Background:
- Hepatitis B virus (HBV) poses a significant public health challenge in highly endemic regions.
- Existing deterministic models may not fully capture the complex spatial dynamics of disease transmission.
- Fractional-in-space reaction-diffusion equations offer a more nuanced approach to modeling spatial spread.
Purpose of the Study:
- To analyze a multi-component nonlinear fractional-in-space reaction-diffusion model for HBV spread.
- To investigate the conditions for disease eradication in endemic communities.
- To provide insights into effective control strategies for hepatitis B.
Main Methods:
- Development of an improved deterministic model incorporating fractional derivatives.
- Mathematical analysis of the model, including equilibrium point stability.
- Numerical simulations to validate analytical results and explore parameter influence.
Main Results:
- The disease-free equilibrium is demonstrated to be locally and globally asymptotically stable when the basic reproduction number (R0) is less than one.
- Analytical findings are supported by simulation results, illustrating model behavior.
- Parameter selection is shown to be crucial for successful HBV disease control.
Conclusions:
- A combination of effective treatment and vaccination is recommended for controlling HBV transmission.
- The fractional reaction-diffusion model provides a valuable framework for understanding and managing hepatitis B in endemic areas.
- Careful parameter choice is essential for achieving successful disease control outcomes.
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