Azzeddine Bellour, El Hadi Ait Dads
Abstract:
In this article, we consider a model for the spread of certain
infectious disease governed by a delay integro-differential equation.
We obtain the existence and the uniqueness of a positive periodic solution,
by using Perov's fixed point theorem in generalized metric spaces.
Submitted December 14, 2014. Published April 14, 2015.
Math Subject Classifications: 45D05, 45G10, 47H30.
Key Words: Neutral delay integro-differential equation; periodic solution;
Perov's fixed point theorem.
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Azzeddine Bellour Department of Mathematics Ecole Normale Superieure de Constantine Constantine, Algeria email: bellourazze123@yahoo.com | |
El Hadi Ait Dads University Cadi Ayyad, Department of Mathematics Faculty of Sciences Semlalia B.P. 2390 Marrakech, Morocco email: aitdads@uca.ma |
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