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2007 Boundedness and Large-Time Behavior Results for a Diffusive Epidemic Model
Lamine Melkemi, Ahmed Zerrouk Mokrane, Amar Youkana
J. Appl. Math. 2007: 1-15 (2007). DOI: 10.1155/2007/17930


We consider a reaction-diffusion system modeling the spread of an epidemic disease within a population divided into the susceptible and infective classes. We first consider the question of the uniform boundedness of the solutions for which we give a positive answer. Then we deal with the asymptotic behavior of the solutions where in particular we are interested in reasonable conditions leading to the extinction of the infection disease as the time goes to infinity.


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Lamine Melkemi. Ahmed Zerrouk Mokrane. Amar Youkana. "Boundedness and Large-Time Behavior Results for a Diffusive Epidemic Model." J. Appl. Math. 2007 1 - 15, 2007.


Published: 2007
First available in Project Euclid: 5 July 2007

zbMATH: 1163.35325
MathSciNet: MR2317881
Digital Object Identifier: 10.1155/2007/17930

Rights: Copyright © 2007 Hindawi

Vol.2007 • 2007
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