Boundedness and Large-Time Behavior Results for a Diffusive Epidemic Model | Zendy

Lamine Melkemi | Zendy; Ahmed Zerrouk Mokrane | Zendy; Amar Youkana | Zendy

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Boundedness and Large-Time Behavior Results for a Diffusive Epidemic Model

Author(s) -

Lamine Melkemi,

Ahmed Zerrouk Mokrane,

Amar Youkana

Publication year - 2007

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2007/17930

Subject(s) - epidemic model , extinction (optical mineralogy) , infinity , mathematics , epidemic disease , reaction–diffusion system , population , diffusion , disease , population model , demography , mathematical analysis , medicine , biology , virology , physics , paleontology , sociology , thermodynamics , pathology

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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