Global existence of periodic solutions in a physiological model with delay

被引：0

作者：

Xiu-ling Li

机构：

[1] Jilin University of Finance and Economics,College of Applied Mathematics

来源：

Acta Mathematicae Applicatae Sinica, English Series | 2015年 / 31卷

关键词：

time delay; physiological model; periodic solutions; 34K15;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

A physiological model with delay is considered. The time delay being regarded as a parameter, a group of conditions that guarantee the model have multiple periodic solutions is obtained by the global Hopf bifurcation theorem for FDE and Bendixson’s criterion for high-dimensional ODE. The results are illustrated by some numerical simulations.

引用

页码：1043 / 1048

页数：5

共 50 条

[21] Existence of periodic solutions for functional equations with periodic delay.
Franco, Daniel
Liz, Eduardo
Torres, Pedro J.
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2007, 38 (03): : 143 - 152
[22] Global existence and exponential stability of periodic solutions for recurrent neural networks with functional delay
Yang, Zhihui
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2007, 30 (14) : 1775 - 1790
[23] THE EXISTENCE OF PERIODIC SOLUTIONS AND GLOBAL ATTRACTIVITY OF A CONTINUOUS MODEL OF BOBWHITE QUAIL
刘智钢
廖六生
Annals of Differential Equations, 2002, (03) : 244 - 253
[24] GLOBAL EXISTENCE OF PERIODIC-SOLUTIONS OF GLASS-KAUFFMAN MODEL
HSU, ID
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 22 (05): : A558 - A558
[25] Global Existence of Periodic Solutions in a Delayed Tumor-Immune Model
Kaddar, A.
Alaoui, H. Talibi
MATHEMATICAL MODELLING OF NATURAL PHENOMENA, 2010, 5 (07) : 29 - 34
[26] Global Existence of Periodic Solutions in a Delayed Kaldor-Kalecki Model
Kaddar, A.
Alaoui, H. Talibi
NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2009, 14 (04): : 463 - 472
[27] Existence and global attractivity of positive periodic solution for an impulsive delay population model
Wang, LL
Li, WT
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2005, 12 (3-4): : 457 - 468
[28] The existence of two positive periodic solutions for the delay differential neoclassical growth model
Zijun Ning
Wentao Wang
Advances in Difference Equations, 2016
[29] Existence and stability of periodic solutions in a mosquito population suppression model with time delay
Zheng, Bo
Li, Jia
Yu, Jianshe
JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 315 : 159 - 178
[30] The existence of two positive periodic solutions for the delay differential neoclassical growth model
Ning, Zijun
Wang, Wentao
ADVANCES IN DIFFERENCE EQUATIONS, 2016,

← 1 2 3 4 5 →