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Existence and global attractivity of unique positive almost periodic solution for a model of hematopoiesis

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Abstract

Sufficient conditions are obtained which guarantee the uniform persistence and global attractivity of solutions for the model of hematopoiesis. Then some criteria are established for the existence, uniqueness and global attractivity of almost periodic solutions of almost periodic system.

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References

  1. M M A El-Sheikh, A Zaghrout, A Ammar. Oscillation and global attractivity in delay equation of population dynamics, Appl Math Comput, 1996, 77: 195–204.

    Article  MATH  MathSciNet  Google Scholar 

  2. A M Fink. Almost Periodic Differential Equations, Lecture Notes inMathematics Vol 377, Spring-Verlag, 1974.

  3. K Gopalsamy, M R S Kulenovic, G Ladas. Oscillation and global attractivity in models of hematopoiesis, J Dynam Differential Equations, 1990, 2: 117–132.

    Article  MATH  MathSciNet  Google Scholar 

  4. I Györi, G Ladas. Oscillation Theory of Delay Differential Equations With Applications, Clarendon, 1991.

  5. J K Hale. Theory of Functional Differential Equations, Spring-Verlag, 1977.

  6. G Karakostas, C G Philos, Y G Sficas. Stable steady state of some population models, J Dynam Differential Equations, 1992, 4: 161–190.

    Article  MATH  MathSciNet  Google Scholar 

  7. Y Kuang. Delay Differential Equations with Applications in Population Dynamics, Academic Press, 1993.

  8. B M Levitan, V V Zhikov. Almost Periodic Functions and Differential Equations, Cambridge University Press, 1982.

  9. G Liu, J Yan, F Zhang. Existence and global attractivity of unique positive periodic solution for a model of hematopoiesis, J Math Anal Appl, 2007, 334: 157–171.

    Article  MATH  MathSciNet  Google Scholar 

  10. M C Mackey, L Glass. Oscillations and chaos in physiological control systems, Science, 1977, 197: 287–289.

    Article  Google Scholar 

  11. S H Saker. Oscillation and global attractivity in hematopoiesis model with periodic coefficients, Appl Math Comput, 2002, 142: 477–494.

    Article  MathSciNet  Google Scholar 

  12. X Yang. On the periodic solution of neutral functional differential equations, J Systems SciMath Sci, 2006, 28: 684–692. (in Chinese)

    Google Scholar 

  13. X Yang, R Yuan. Global attractivity and positive almost periodic solution for delay logistic differential equation, Nonlinear Anal (TMA), 2008, 68: 54–72.

    Article  MATH  MathSciNet  Google Scholar 

  14. T Yoshizawa. Stability Theory and the Existence of Periodic Solutions and Almost Periodic Solutions, Appl Math Sci Vol 14, Springer-Verlag, 1975.

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Authors and Affiliations

  1. Department of Mathematics, Hunan University of Science and Technology, Hunan, 410201, China

    Xi-tao Yang

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  1. Xi-tao Yang
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Correspondence to Xi-tao Yang.

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Supported by the NNSF of China(10671021) and the SRF of Hunan Provincial Education Department(09C388)

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Yang, Xt. Existence and global attractivity of unique positive almost periodic solution for a model of hematopoiesis. Appl. Math. J. Chin. Univ. 25, 25–34 (2010). https://doi.org/10.1007/s11766-010-2111-6

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  • DOI: https://doi.org/10.1007/s11766-010-2111-6

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