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
收藏
页数:18
相关论文
共 43 条
[41]   New results on existence and exponential stability of the unique positive almost periodic solution for Hematopoiesis model [J].
Yao, Zhijian .
APPLIED MATHEMATICAL MODELLING, 2015, 39 (23-24) :7113-7123
[42]   Existence and exponential convergence of the positive almost periodic solution for a model of hematopoiesis [J].
Zhang, Hong ;
Yang, Mingquan ;
Wang, Lijuan .
APPLIED MATHEMATICS LETTERS, 2013, 26 (01) :38-42
[43]   Anti-periodic solutions for cellular neural networks with oscillating coefficients in leakage terms [J].
Zhou, Qiyuan .
INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS, 2017, 8 (05) :1607-1613