Besicovitch almost periodic solutions for a stochastic generalized Mackey-Glass hematopoietic model

This article aimed to investigate the existence and stability of Besicovitch almost periodic (B-ap) positive solutions for a stochastic generalized Mackey-Glass hematopoietic model. To begin with, we used stochastic analysis theory, inequality techniques, and fixed point theorems to prove the existence and uniqueness of (p)-bounded pound and (p)-uniformly pound continuous positive solutions for the model under consideration. Then, we used definitions to prove that this unique positive solution is also a B-ap solution in finite-dimensional distributions. In addition, we established the global exponential stability of the B-ap positive solution using reduction to absurdity. Finally, we provided a numerical example to verify the effectiveness of our conclusions.