Abstract—The SVEIR (susceptible vaccinated exposed infectious recovered) influenza epidemic model involving non-linear ordinary differential equations is studied and extended to incorporate diffusion in one-space dimension to enable the geographic spread of the disease in a population first-order in time and second-order in spaces based on finite difference method are constructed to obtained the numerical solution of the proposal model. A parallel implementation procedure is studied and the proposed model is simulated by using the constructed method in order to investigate the rate of vaccination.

Index Terms—SVEIR epidemic model, finite difference method, parallel implementation.

The authors are with the Department of Mathematics at King Mongkut’s University of Technology Thonburi, Bangkok, 10140 Thailand (e-mail: dsd_sjw@hotmail.co.th, settapat.chi@kmutt.ac.th).

Cite: Dussadee Somjaivang and Settapat Chinviriyasit, "Numerical Modeling of an Influenza Epidemic Model with Vaccination and Diffusion," International Journal of Applied Physics and Mathematics vol. 4, no. 1, pp. 68-74, 2014.