Dynamic analysis on a delayed nonlinear density-dependent mortality Nicholson's blowflies model

被引:6
作者
Cao, Qian [1 ]
Wang, Guoqiu [2 ]
机构
[1] Hunan Univ Arts & Sci, Coll Math & Phys, Changde 415000, Hunan, Peoples R China
[2] Hunan Normal Univ, Coll Math & Stat, Minist Educ, Key Lab Comp & Stochast Math, Changsha, Peoples R China
关键词
Nonlinear density-dependent mortality; Nicholson's blowflies model; global asymptotic stability; multiple pairs of time-varying delay; ALMOST-PERIODIC SOLUTIONS; MACKEY-GLASS MODEL; LIMIT-CYCLES; GLOBAL ATTRACTIVITY; STABILITY; EQUATION; EXISTENCE; SYSTEMS; HEMATOPOIESIS; WAVE;
D O I
10.1080/00207179.2020.1725134
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper discusses a class of nonlinear density-dependent mortality Nicholson's blowflies equation with multiple pairs of time-varying delays. By utilising differential inequality techniques and the fluctuation lemma, a delay-independent criterion is gained to ensure the global asymptotic stability of the addressed model, which refines some previously known research. Finally, some numerical simulations are listed to show the validity of our methods.
引用
收藏
页码:2596 / 2602
页数:7
相关论文
共 63 条
[1]  
[Anonymous], 2014, ADV MATER SCI ENG, DOI DOI 10.1002/9781119951438.EIBC2198
[2]   Nicholson's blowflies differential equations revisited: Main results and open problems [J].
Berezansky, L. ;
Braverman, E. ;
Idels, L. .
APPLIED MATHEMATICAL MODELLING, 2010, 34 (06) :1405-1417
[3]   A note on stability of Mackey Glass equations with two delays [J].
Berezansky, Leonid ;
Braverman, Elena .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 450 (02) :1208-1228
[4]   Mackey-Glass model of hematopoiesis with non-monotone feedback: Stability, oscillation and control [J].
Berezansky, Leonid ;
Braverman, Elena ;
Idels, Lev .
APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (11) :6268-6283
[5]   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
[6]  
CAO Q, 2020, J INEQUALITIES APPL, V7
[7]  
CAO Q, 2020, ADV DIFFERENCE EQUAT, V43
[8]   Chaotic Oscillations of Solutions of the Klein-Gordon Equation Due to Imbalance of Distributed and Boundary Energy Flows [J].
Chen, Goong ;
Sun, Bo ;
Huang, Tingwen .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2014, 24 (07)
[9]   A second-order accurate numerical method with graded meshes for an evolution equation with a weakly singular kernel [J].
Chen, Hongbin ;
Xu, Da ;
Zhou, Jun .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2019, 356 :152-163
[10]   Bifurcation of limit cycles at infinity in piecewise polynomial systems [J].
Chen, Ting ;
Huang, Lihong ;
Yu, Pei ;
Huang, Wentao .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2018, 41 :82-106