Stability analysis of Nicholson's blowflies equation with two different delays
Huang, Chuangxia1,2; Yang, Xiaoguang3; Cao, Jinde4
刊名MATHEMATICS AND COMPUTERS IN SIMULATION
2020-05-01
卷号171页码:201-206
关键词Nicholson's blowflies equation Delay Stability
ISSN号0378-4754
DOI10.1016/j.matcom.2019.09.023
英文摘要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 in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.
资助项目National Natural Science Foundation of China[11971076] ; National Natural Science Foundation of China[11771059] ; National Natural Science Foundation of China[51839002] ; Scientific Research Fund of Hunan Provincial Education Department, China[16C0036] ; International Cooperation and Expansion Project of Double First-class, China[2019IC37]
WOS研究方向Computer Science ; Mathematics
语种英语
出版者ELSEVIER
WOS记录号WOS:000512382000017
内容类型期刊论文
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/50804]  
专题中国科学院数学与系统科学研究院
通讯作者Huang, Chuangxia
作者单位1.Changsha Univ Sci & Technol, Sch Math & Stat, Changsha, Peoples R China
2.Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Peoples R China
3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
4.Southeast Univ, Sch Math, Nanjing 211189, Peoples R China
推荐引用方式
GB/T 7714
Huang, Chuangxia,Yang, Xiaoguang,Cao, Jinde. Stability analysis of Nicholson's blowflies equation with two different delays[J]. MATHEMATICS AND COMPUTERS IN SIMULATION,2020,171:201-206.
APA Huang, Chuangxia,Yang, Xiaoguang,&Cao, Jinde.(2020).Stability analysis of Nicholson's blowflies equation with two different delays.MATHEMATICS AND COMPUTERS IN SIMULATION,171,201-206.
MLA Huang, Chuangxia,et al."Stability analysis of Nicholson's blowflies equation with two different delays".MATHEMATICS AND COMPUTERS IN SIMULATION 171(2020):201-206.
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