AN ANALYSIS TO THE TRAVELLING WAVE SOLUTION OF A DIFFUSIVE MODEL OF AN EPIDEMIC

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Published: Mar 1, 1998
DOI: https://doi.org/10.5556/j.tkjm.29.1998.4301
Keywords:
Epidemic SIR model spatial spread

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M. S. ABUAL-RUB
Department of Mathematics, University of Qatar, P. 0. Box 2713, Doha, State of Qatar

Abstract




An SIR model of an epidemic with spatial spread is considered, an equilibrium and stability analysis has been done and then the behavior to the travelling wave solution of the model is obtained.




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How to Cite
ABUAL-RUB, M. S. (1998). AN ANALYSIS TO THE TRAVELLING WAVE SOLUTION OF A DIFFUSIVE MODEL OF AN EPIDEMIC. Tamkang Journal of Mathematics, 29(1), 65–68. https://doi.org/10.5556/j.tkjm.29.1998.4301
Issue
Vol. 29 No. 1 (1998)
Section
Papers
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References

Abual-rub, M. S., Non-linear partial differential equations applied to diffusion problems arising in mathematical biology, Ph.D. Thesis, University of Illinois at Chicago, USA, 25- 30, 1992.

Bailey, N. T. J., The mathematical theory of infectious diseases, 2nd Ed., London; Griffin, 1975.

Fisher, R. A., "The wave of advance of advantageous genes," Ann. Eugenics, 7(1937), 353-369.

Hoppenstead, F. C., Mathematical theories of populations : demographics, genetics and epi­demics, CBMS Lectures Vol. 20. Philadelphia: SIAM Publications, 1975

Kermack, W. O., McKendrick, A. G., "Contributions to the mathematical theory of epi­demics," Proc. Roy. Soc. A 115(1927), 700-721; 138(1932), 55-83; 141(1933), 94-122.

Murray, J. D., Mathematical Biology, Vol. 19, Biomathematics Texts, New York, Springer Verlag, 1989.