Samira Rihani, Amor Kessab, Farouk Cherif
Abstract:
In this work, we consider a new model describing the survival of red blood
cells in animals. Specifically, we study a class of Lasota-Wazewska equation
with pseudo almost periodic varying environment and mixed delays.
By using the Banach fixed point theorem and some inequality analysis, we find
sufficient conditions for the existence, uniqueness and stability of solutions.
We generalize some results known for one type of delay and for the
Lasota-Wazewska model with almost periodic and periodic coefficients.
An example illustrates the proposed model.
Submitted
Submitted December 7, 2015. Published March 4, 2016.
Math Subject Classifications: 35B15, 47H10, 93A30.
Key Words: Lasota-Wazewska equation; pseudo almost periodic; mixed delays.
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Samira Rihani Department of Mathematics University Haouari Boumediene 16 111 Bab-Ezzouar, Algeria email: maths_samdz@yahoo.fr |
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Amor Kessab Department of Mathematics University Haouari Boumediene 16 111 Bab-Ezzouar, Algeria email: amorkes@yahoo.fr |
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Farouk Chérif University of Sousse 4002 Sousse, Tunisia email: faroukcheriff@yahoo.fr |
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