New results on the almost periodic solutions for a model of hematopoiesis with an oscillatory circulation loss rate

被引:5
作者
Balderrama, Rocio [1 ,2 ]
机构
[1] Univ Buenos Aires, Fac Ciencias Exactas & Nat, Dept Matemat, Buenos Aires, DF, Argentina
[2] Consejo Nacl Invest Cient & Tecn, IMAS, Buenos Aires, DF, Argentina
关键词
Nonlinear delay differential equation; fixed point theorem; almost periodic solutions; hematopoiesis; NICHOLSONS BLOWFLIES MODEL; EXPONENTIAL CONVERGENCE; GLOBAL ATTRACTIVITY; EXISTENCE; COEFFICIENTS; EQUATION; STABILITY;
D O I
10.1007/s11784-020-00776-7
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper is concerned with a nonautonomous time-delayed model for the regulation of the hematopoiesis with an oscillating circulation loss rate. We prove a fixed point theorem in cones to establish some sufficient conditions ensuring the existence of positive almost periodic solutions of the model with almost periodic coefficients. Moreover, some examples are given to illustrate our theoretical results.
引用
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页数:18
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共 43 条
[1]   Existence and Exponential Stability of Positive Almost Periodic Solutions for a Model of Hematopoiesis [J].
Alzabut, J. O. ;
Nieto, J. J. ;
Stamov, G. Tr. .
BOUNDARY VALUE PROBLEMS, 2009,
[2]   On the global dynamic behaviour for a generalized haematopoiesis model with almost periodic coefficients and oscillating circulation loss rate [J].
Amster, Pablo ;
Balderrama, Rocio .
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (10) :3976-3997
[3]   Existence and multiplicity of periodic solutions for a generalized hematopoiesis model [J].
Amster, Pablo ;
Balderrama, Rocio .
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2017, 55 (1-2) :591-607
[4]  
[Anonymous], ELECT J DIFFERENTIAL
[5]   Mackey-Glass equation with variable coefficients [J].
Berezansky, L ;
Braverman, E .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2006, 51 (01) :1-16
[6]   Mackey-Glass model of hematopoiesis with monotone feedback revisited [J].
Berezansky, Leonid ;
Braverman, Elena ;
Idels, Lev .
APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (09) :4892-4907
[7]   On exponential stability of a linear delay differential equation with an oscillating coefficient [J].
Berezansky, Leonid ;
Braverman, Elena .
APPLIED MATHEMATICS LETTERS, 2009, 22 (12) :1833-1837
[8]  
Corduneanu Constantin., 1961, Almost Periodic Functions, V1st
[9]   Existence of positive almost periodic solutions to the hematopoiesis model [J].
Diagana, Toka ;
Zhou, Hui .
APPLIED MATHEMATICS AND COMPUTATION, 2016, 274 :644-648
[10]   Existence of positive almost periodic solutions to a class of hematopoiesis model [J].
Ding, Hui-Sheng ;
Liu, Qing-Long ;
Nieto, Juan J. .
APPLIED MATHEMATICAL MODELLING, 2016, 40 (04) :3289-3297