Positive asymptotically almost periodic solutions of an impulsive hematopoiesis model

• Peng Chen ^[1] ; Hui-Sheng Ding ^[1] ; Gaston M N’Guérékata ^[2]
  1. [1] Jiangxi Normal University

     Jiangxi Normal University

     China

     
  2. [2] Morgan State University

     Morgan State University

     Estados Unidos

     
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 18, Nº. 1, 2016, págs. 15-26
• Idioma: inglés
• DOI: 10.4067/S0719-06462016000100002
• Enlaces
  • Texto completo
• Resumen
  • español

    En este artículo, introducimos la noción de funciones impulsivas asintóticamente casi periódicas y probamos algunas propiedades básicas para dichas funciones. Luego, discutimos la existencia y estabilidad exponencial de soluciones positivas asintóticamente casi periódicas para un modelo impulsivo de hematopoyesis. Un ejemplo es dado para ilustrar nuestros resultados.

  • English

    In this paper, we introduce the notion of impulsive asymptotically almost periodic functions and prove some basic properties of such functions. Then, we discuss the existence and exponential stability of positive asymptotically almost periodic solution for an impulsive hematopoiesis model. An example is given to illustrate our results.

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