Universal Journal of Computational Mathematics(CEASE PUBLICATION) Vol. 4(3), pp. 37 - 50
DOI: 10.13189/ujcmj.2016.040303
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Large Numerical Solution of Diffusive HBV Model in a Fractional Medium

Kolade M. Owolabi ^1,2,*
1 Department of Mathematical Sciences, Federal University of Technology, PMB 704, Akure, Ondo State, Nigeria
² Institute for Groundwater Studies, Faculty of Natural and Agricultural Sciences, University of the Free State, Bloemfontein 9300, South Africa

ABSTRACT

Evolution systems containing fractional derivatives can result to suitable mathematical models for describing better and important physical phenomena. In this paper, we consider a multi-components nonlinear fractional-in-space reaction-diffusion equations consisting of an improved deterministic model which describe the spread of Hepatitis B virus disease in areas of high endemic communities. The model is analyzed. We give some useful biological results to show that the disease-free equilibrium is both locally and globally asymptotically stable when the basic reproduction number is less than unity. Our findings of this paper strongly recommend a combination of effective treatment and vaccination as a good control measure, is important to record the success of HBV disease control through a careful choice of parameters. Some simulation results are presented to support the analytical findings.

KEYWORDS
Disease free Equilibrium, Fourier Spectral Method, Exponential Integrator, Fractional Reaction-diffusion, Nonlinear PDEs, Numerical Simulations, Reproduction Number

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Kolade M. Owolabi , "Large Numerical Solution of Diffusive HBV Model in a Fractional Medium," Universal Journal of Computational Mathematics(CEASE PUBLICATION), Vol. 4, No. 3, pp. 37 - 50, 2016. DOI: 10.13189/ujcmj.2016.040303.

(b). APA Format:
Kolade M. Owolabi (2016). Large Numerical Solution of Diffusive HBV Model in a Fractional Medium. Universal Journal of Computational Mathematics(CEASE PUBLICATION), 4(3), 37 - 50. DOI: 10.13189/ujcmj.2016.040303.