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 ${\mathcal{L}}^p$-bounded and ${\mathcal{L}}^p$-uniformly 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.