Mackey-Glass model of hematopoiesis with non-monotone feedback: Stability, oscillation and control
نویسندگان
چکیده
For the blood cell production model with a unimodal (hump) feedback function dy dt 1⁄4 cyðtÞ þ bh yðt sÞ h þ ynðt sÞ ; we review the known results and investigate generalizations of this equation. Permanence, oscillation and stability of the positive equilibrium are studied for non-autonomous equations, including equations with a distributed delay. In addition, a linear control is introduced, and possibilities to stabilize an otherwise unstable positive equilibrium are explored. 2012 Elsevier Inc. All rights reserved.
منابع مشابه
Mackey-Glass model of hematopoiesis with monotone feedback revisited
For the blood cell production model
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عنوان ژورنال:
- Applied Mathematics and Computation
دوره 219 شماره
صفحات -
تاریخ انتشار 2013