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Zbl 1155.34041
Liu, Guirong; Yan, Jurang; Zhang, Fengqin
Existence and global attractivity of unique positive periodic solution for a model of hematopoiesis. (English)
[J] J. Math. Anal. Appl. 334, No. 1, 157-171 (2007). ISSN 0022-247X

The authors consider the generalized model of hematopoiesis $$x'(t)=-a(t)x(t)+\sum_{i=1}^m\frac{b_i(t)}{1+x^n(t-\tau_i(t))}.$$ By using a fixed point theorem, some criteria are established for the existence of the unique positive $\omega$-periodic solution of the above model. They show that this periodic solution is a global attractor of all other positive solutions.
[Hai-Feng Huo (Lanzhou)]

MSC 2000:: *34K60 Applications of functional-differential equations
34K13 Periodic solutions of functional differential equations
92C50 Medical appl. of mathematical biology
34K25 Asymptotic theory of functional-differential equations

Keywords: periodic solution; existence; global attractivity; fixed point theorem; hematopoiesis

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