Boundary Value Problems
Volume 2009 (2009), Article ID 127510, 10 pages
doi:10.1155/2009/127510
Existence and exponential stability of positive almost periodic solutions for a model of hematopoiesis
J.O. Alzabut1
, J.J. Nieto2
and G.Tr. Stamov3
1Department of Mathematics and Physical Sciences, Prince Sultan University, P.O. Box 66833, Riyadh 11586, Saudi Arabia
2Departamento de Análisis Matemático, Universidad de Santiago de Compostela, Santiago de Compostela 15782, Spain
3Department of Mathematics, Technical University, Sofia, 8800 Sliven, Bulgaria
Abstract
By employing the contraction mapping principle and applying Gronwall-Bellman's inequality, sufficient conditions are established to prove the existence and exponential stability of positive almost periodic solution for nonlinear impulsive delay model of hematopoiesis.