Pseudo almost periodic dynamical behaviors of hematopoiesis model

Abstract

UDC 517.929, 517.518

We present a hematopoiesis model with nonlinear harvesting terms.  By using the fixed-point theorem and constructing suitable Lyapunov functionals, we establish new sufficient criteria required to guarantee the existence and uniqueness of positive pseudo almost periodic solutions for the considered model with Stepanov-like pseudo almost periodic coefficients. Furthermore, the exponential stability of the obtained solution is investigated. It is shown that every positive solution exponentially converges to a unique positive pseudo almost periodic solution. Finally, an illustrative example is provided to demonstrate the efficiency of our theoretical results.