Global asymptotic stability of pseudo almost periodic solutions to a Lasota-Wazewska model with distributed delays

摘要

In this paper, we study a class of Lasota-Wazewska model with distributed delays, new criteria for the existence and global asymptotic stability of positive pseudo almost periodic solutions are established by using the fixed point method and the properties of pseudo almost periodic functions, together with constructing suitable Lyapunov function. Finally, we present an example with simulations to support the theoretical results. The obtained results are essentially new and they extend previously known results.