Numerical study of an influenza epidemic model with diffusion

Search Swinburne Research Bank

Home

Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.3/94589

Title: Numerical study of an influenza epidemic model with diffusion
Author(s): Samsuzzoha, Md; Singh, Manmohan; Lucy, David
Abstract: A diffusive epidemic model is investigated with a view to describe the transmission of influenza as an epidemic. The equations are solved numerically using the splitting method under different initial distribution of population density. It is shown that the initial population distribution and diffusion play an important role for spread of disease. It is also shown that interventions (medical and nonmedical) significantly slow down the spread of disease. Stability of equilibria of the numerical solutions are also established.
Publication type: Journal article
Research centre: Swinburne University of Technology. Faculty of Engineering and Industrial Sciences
Source: Applied Mathematics and Computation, Vol. 217, no. 7 (Dec 2010), pp. 3461-3479
Publication year: 2010
FOR Code(s): 0102 Applied Mathematics; 0103 Numerical and Computational Mathematics
Keyword(s): Diffusion; Epidemic model; Infectious diseases; Influenza; Initial conditions; Routh-Hurwitz stability conditions
Publisher: Elsevier
ISSN: 0096-3003
Publisher URL: http://dx.doi.org/10.1016/j.amc.2010.09.017
Peer reviewed