Positive Almost Periodic Solution for a Model of Hematopoiesis with Infinite Time Delays and a Nonlinear Harvesting Term | Zendy

Hui Zhou | Zendy; Wang Wen | Zendy; Zhou Zong-fu | Zendy

Open Access

Positive Almost Periodic Solution for a Model of Hematopoiesis with Infinite Time Delays and a Nonlinear Harvesting Term

Author(s) -

Hui Zhou,

Wang Wen,

Zhou Zong-fu

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/146729

Subject(s) - mathematics , nonlinear system , term (time) , convergence (economics) , fixed point theorem , lyapunov function , differential equation , mathematical analysis , control theory (sociology) , computer science , physics , control (management) , quantum mechanics , artificial intelligence , economics , economic growth

A generalized model of Hematopoiesis with infinite time delays and a nonlinear harvesting term is investigated. By utilizing a fixed point theorem of the differential equations and constructing a suitable Lyapunov functional, we establish some conditions which guarantee the existence of a unique positive almost periodic solution and the exponential convergence of the system. Finally, we give an example to illustrate the effectiveness of our results. © 2013 Hui Zhou et al.

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