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Stability analysis of Nicholson’s blowflies equation with two different delays

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成果类型:
期刊论文
作者:
Huang, Chuangxia*;Yang, Xiaoguang;Cao, Jinde
通讯作者:
Huang, Chuangxia
作者机构:
[Huang, Chuangxia] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha, Peoples R China.
[Huang, Chuangxia] Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Peoples R China.
[Yang, Xiaoguang] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China.
[Cao, Jinde] Southeast Univ, Sch Math, Nanjing 211189, Peoples R China.
通讯机构:
[Huang, Chuangxia] C
Changsha Univ Sci & Technol, Sch Math & Stat, Changsha, Peoples R China.
语种:
英文
关键词:
Nicholson's blowflies equation;Delay;Stability
期刊:
Mathematics and Computers in Simulation
ISSN:
0378-4754
年:
2020
卷:
171
页码:
201-206
基金类别:
National Natural Science Foundation of ChinaNational Natural Science Foundation of China [11971076, 11771059, 51839002]; Scientific Research Fund of Hunan Provincial Education Department, ChinaHunan Provincial Education Department [16C0036]; International Cooperation and Expansion Project of "Double First-class", China [2019IC37]
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学院
摘要:
This paper investigates an autonomous Nicholson's blowflies equation incorporating two different delays. By using differential inequality techniques and dynamical system approaches, we establish two novel criteria to check the global exponential stability and asymptotical stability on the zero equilibrium point of the addressed equation, respectively. Our research partially answers an open question raised by Berezansky and Braverman (2017). A numerical example with simulations shows that the main theoretical results are correct. (C) 2019 International Association for Mathematics and Computers ...

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