Existence and Exponential Stability of Positive Almost Periodic Solutions for a Model of Hematopoiesis
1 Department of Mathematics and Physical Sciences, Prince Sultan University, P.O. Box 66833, Riyadh 11586, Saudi Arabia
2 Departamento de Análisis Matemático, Universidad de Santiago de Compostela, Santiago de Compostela 15782, Spain
3 Department of Mathematics, Technical University, Sofia, 8800 Sliven, Bulgaria
Boundary Value Problems 2009, 2009:127510 doi:10.1155/2009/127510Published: 27 September 2009
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.