Stochastic Mackey-Glass Model of Hematopoiesis with Non-monotone Feedback
WANG Wentao1, LIU Fuyao1, CHEN Wei2
1. School of Mathematics, Physics and Statistics, Shanghai University of Engineering Science, Shanghai 201620, China; 2. School of Statistics and Mathematics, Shanghai Lixin University of Accounting and Finance, Shanghai 201209, China
Abstract：Considering that the destruction rate is perturbed by white noises, we introduce a stochastic Mackey-Glass model of hematopoiesis with non-monotone feedback to describe its dynamics behaviors in random environments. Firstly, we study the existence and uniqueness of the global positive solution with the nonnegative initial condition. Next, we estimate its ultimate boundedness in mean and Lyapunov exponent. Finally, an example with its numerical simulations is carried out to validate the analytical results.
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2020, Vol. 43 
