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Global asymptotic stability for a periodic delay hematopoiesis model with impulses

Faria, Teresa ; Oliveira, José J.

Applied Mathematical Modelling, 2020-03, Vol.79, p.843-864 [Periódico revisado por pares]

New York: Elsevier Inc

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  • Título:
    Global asymptotic stability for a periodic delay hematopoiesis model with impulses
  • Autor: Faria, Teresa ; Oliveira, José J.
  • Assuntos: Asymptotic properties ; Delay ; Differential equations ; Global asymptotic stability ; Hematopoiesis ; Hematopoiesis model ; Impulses ; Mackey–Glass model ; Periodic solution ; Stability criteria ; Time dependence
  • É parte de: Applied Mathematical Modelling, 2020-03, Vol.79, p.843-864
  • Descrição: •A new stability criterion for the zero solution of a family of periodic impulsive delay differential equation is obtained.•This result is applied to a periodic hematopoiesis model of Mackey–Glass type, with multiple delays and linear impulses.•For this model, several criteria for the global asymptotic stability of its positive periodic solution are established.•Our results enhance previous criteria, even for the case of a periodic hematopoiesis model without impulses. In this paper, sufficient conditions for the global asymptotic stability of a broad family of periodic impulsive scalar delay differential equations are obtained. These conditions are applied to a periodic hematopoiesis model with multiple time-dependent delays and linear impulses, in order to establish criteria for the global asymptotic stability of a positive periodic solution. The present results are discussed within the context of recent literature. In conclusion, when compared with previous works, not only sharper stability criteria are obtained here, even for models without impulses, but also the usual constraints imposed on the linear impulses are relaxed.
  • Editor: New York: Elsevier Inc
  • Idioma: Inglês
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