Global asymptotic stability for a periodic delay hematopoiesis model with impulses
نویسندگان
چکیده
منابع مشابه
A Review on Local Asymptotic Stability Analysis for Mathematical Models of Hematopoiesis with Delay and Delay - Dependent Coefficients ( Local Asymptotic Stability Analysis for Delay Models ) Fabien
Stability analysis of mathematical models of hematopoiesis (blood cell production process), described by differential equations with delay, needs to locate eigenvalues of characteristic equations that are usually exponential polynomial functions with delay-dependent coefficients. It is then more complicated than for ordinary differential equations to determine conditions for all roots to have n...
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In this paper we shall consider the nonlinear delay differential equation p0ðtÞ 1⁄4 bðtÞp mðt kxÞ 1þ pnðt kxÞ cðtÞpðtÞ; ð Þ where k is a positive integer, bðtÞ and cðtÞ are positive periodic functions of period x. In the nondelay case we shall show that (*) has a unique positive periodic solution pðtÞ, and we will study the global attractivity of pðtÞ. In the delay case we shall establish some ...
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ژورنال
عنوان ژورنال: Applied Mathematical Modelling
سال: 2020
ISSN: 0307-904X
DOI: 10.1016/j.apm.2019.10.063