Periodic traveling wave solutions of the Nicholson's blowflies model with delay and advection

The existence, stability and bifurcation direction of periodic traveling waves for the Nicholson's blowflies model with delay and advection are investigated by applying the Hopf bifurcation theorem, center manifold theorem as well as normal form theory. Some numerical simulations are presented...

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التفاصيل البيبلوغرافية
الحاوية / القاعدة:Electronic Research Archive
المؤلفون الرئيسيون: Dong Li, Xiaxia Wu, Shuling Yan
التنسيق: مقال
اللغة:الإنجليزية
منشور في: AIMS Press 2023-03-01
الموضوعات:
الوصول للمادة أونلاين:https://www.aimspress.com/article/doi/10.3934/era.2023130?viewType=HTML
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author Dong Li
Xiaxia Wu
Shuling Yan
author_facet Dong Li
Xiaxia Wu
Shuling Yan
author_sort Dong Li
collection DOAJ
container_title Electronic Research Archive
description The existence, stability and bifurcation direction of periodic traveling waves for the Nicholson's blowflies model with delay and advection are investigated by applying the Hopf bifurcation theorem, center manifold theorem as well as normal form theory. Some numerical simulations are presented to illustrate our main results.
format Article
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spelling doaj-art-1c4f91eff8df4e6799ad11628d40d3d22025-08-19T21:45:48ZengAIMS PressElectronic Research Archive2688-15942023-03-013152568257910.3934/era.2023130Periodic traveling wave solutions of the Nicholson's blowflies model with delay and advectionDong Li0Xiaxia Wu1Shuling Yan21. College of Sciences, Chongqing University of Posts and Telecommunications, Chongqing 400065, China1. College of Sciences, Chongqing University of Posts and Telecommunications, Chongqing 400065, China2. School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou, Jiangsu 221116, ChinaThe existence, stability and bifurcation direction of periodic traveling waves for the Nicholson's blowflies model with delay and advection are investigated by applying the Hopf bifurcation theorem, center manifold theorem as well as normal form theory. Some numerical simulations are presented to illustrate our main results.https://www.aimspress.com/article/doi/10.3934/era.2023130?viewType=HTMLnicholson's blowflies modeldelayadvectionperiodic traveling wavesnumerical simulations
spellingShingle Dong Li
Xiaxia Wu
Shuling Yan
Periodic traveling wave solutions of the Nicholson's blowflies model with delay and advection
nicholson's blowflies model
delay
advection
periodic traveling waves
numerical simulations
title Periodic traveling wave solutions of the Nicholson's blowflies model with delay and advection
title_full Periodic traveling wave solutions of the Nicholson's blowflies model with delay and advection
title_fullStr Periodic traveling wave solutions of the Nicholson's blowflies model with delay and advection
title_full_unstemmed Periodic traveling wave solutions of the Nicholson's blowflies model with delay and advection
title_short Periodic traveling wave solutions of the Nicholson's blowflies model with delay and advection
title_sort periodic traveling wave solutions of the nicholson s blowflies model with delay and advection
topic nicholson's blowflies model
delay
advection
periodic traveling waves
numerical simulations
url https://www.aimspress.com/article/doi/10.3934/era.2023130?viewType=HTML
work_keys_str_mv AT dongli periodictravelingwavesolutionsofthenicholsonsblowfliesmodelwithdelayandadvection
AT xiaxiawu periodictravelingwavesolutionsofthenicholsonsblowfliesmodelwithdelayandadvection
AT shulingyan periodictravelingwavesolutionsofthenicholsonsblowfliesmodelwithdelayandadvection