@article{Huang2024, 
author = {Xianying Huang and Yongkun Li},
title = {Besicovitch almost periodic solutions for a stochastic generalized Mackey-Glass hematopoietic model},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {10},
pages = {26602-26630},
keywords = {stochastic Mackey-Glass hematopoietic model, Besicovitch almost periodic solutions, finite-dimensional distributions, stability},
url = {https://www.sciopen.com/article/10.3934/math.20241294},
doi = {10.3934/math.20241294},
abstract = {This article aimed to investigate the existence and stability of Besicovitch almost periodic ( Bap) 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  Lp-bounded and  Lp-uniformly continuous positive solutions for the model under consideration. Then, we used definitions to prove that this unique positive solution is also a  Bap solution in finite-dimensional distributions. In addition, we established the global exponential stability of the  Bap positive solution using reduction to absurdity. Finally, we provided a numerical example to verify the effectiveness of our conclusions.}
}