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Global Exponential Stability of Positive Pseudo‐Almost‐Periodic Solutions for a Model of Hematopoiesis

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  • Junxia Meng

Abstract

This paper presents a new generalized model of hematopoiesis with multiple time‐varying delays. The main purpose of this paper is to study the existence and the global exponential stability of the positive pseudo almost periodic solutions, which are more general and complicated than periodic and almost periodic solutions. Under suitable assumptions, and by using fixed point theorem, sufficient conditions are given to ensure that all solutions of this model converge exponentially to the positive pseudo almost periodic solution for the considered model. These results improve and extend some known relevant results.

Suggested Citation

  • Junxia Meng, 2013. "Global Exponential Stability of Positive Pseudo‐Almost‐Periodic Solutions for a Model of Hematopoiesis," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:463076
    DOI: 10.1155/2013/463076
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    References listed on IDEAS

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    1. Wei Chen & Wentao Wang, 2014. "Global Exponential Stability of Positive Almost Periodic Solutions for a Delay Logarithmic Population Model," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-6, May.
    2. Wei Chen & Wentao Wang, 2014. "Global Exponential Stability of Positive Almost Periodic Solutions for a Delay Logarithmic Population Model," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
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    Cited by:

    1. Wentao Wang & Bingwen Liu, 2014. "Global Exponential Stability of Pseudo Almost Periodic Solutions for SICNNs with Time‐Varying Leakage Delays," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    2. Wei Chen & Wentao Wang, 2014. "Global Exponential Stability of Positive Almost Periodic Solutions for a Delay Logarithmic Population Model," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    3. Hong Zhang & Shuhua Gong & Jianying Shao, 2014. "Global Exponential Stability of Positive Almost Periodic Solutions for a Fishing Model with a Time‐Varying Delay," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

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