Global existence of periodic solutions in an infection model

被引：2

作者：

Sun, Xinguo ^{[1
,2
]}

Wei, Junjie ^{[1
]}

机构：

[1] Harbin Inst Technol, Dept Math, Harbin 150001, Heilongjiang, Peoples R China

[2] China Univ Petr East China, Sch Sci, Qingdao 266580, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2015年 / 48卷

基金：

高等学校博士学科点专项科研基金;

关键词：

Infection; CTL response; Hopf bifurcation; Periodic solutions; HTLV-I INFECTION; CTL RESPONSE; DIFFERENTIAL EQUATIONS; BIFURCATION-ANALYSIS; MATHEMATICAL-MODEL; DYNAMICS; STABILITY; DELAYS;

D O I：

10.1016/j.aml.2015.03.022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a HTLV-I infection model with CTL immune response is considered. Taking the immune delay as a bifurcation parameter we investigate the global existence of periodic solutions of this model which shows existence of multiple periodic solutions theoretically. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：118 / 123

页数：6

共 50 条

[31] Existence and stability of positive almost periodic solutions and periodic solutions for a logarithmic population model
Wang, Qi
Zhang, Hongyan
Wang, Yue
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (12) : 4384 - 4389
[32] Existence and global attractivity of positive periodic solutions for the impulsive delay Nicholson's blowflies model
Li, Wan-Tong
Fan, Yong-Hong
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 201 (01) : 55 - 68
[33] Local Hopf bifurcation analysis and global existence of periodic solutions in a gene expression model with delays
Jinchen Yu
Mingshu Peng
Nonlinear Dynamics, 2016, 86 : 245 - 256
[34] Local Hopf bifurcation analysis and global existence of periodic solutions in a gene expression model with delays
Yu, Jinchen
Peng, Mingshu
NONLINEAR DYNAMICS, 2016, 86 (01) : 245 - 256
[35] Existence of periodic solutions
V. V. Filippov
Mathematical Notes, 1997, 61 : 644 - 656
[36] Existence and global attractivity of an almost periodic ecological model
Xia, YH
Chen, FD
Chen, AP
Cao, JD
APPLIED MATHEMATICS AND COMPUTATION, 2004, 157 (02) : 449 - 475
[37] EXISTENCE OF PERIODIC SOLUTIONS
MELZAK, ZA
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1967, 20 (04) : 771 - &
[38] Existence of periodic solutions
Filippov, VV
MATHEMATICAL NOTES, 1997, 61 (5-6) : 644 - 656
[39] Existence and multiplicity of periodic solutions for a generalized hematopoiesis model
Pablo Amster
Rocío Balderrama
Journal of Applied Mathematics and Computing, 2017, 55 : 591 - 607
[40] Existence of Periodic Solutions to a Class of Environmental Mathematical Model
Yin, Junyi
ADVANCES IN ENVIRONMENTAL SCIENCE AND ENGINEERING, PTS 1-6, 2012, 518-523 : 1540 - 1543

← 1 2 3 4 5 →