Normal forms of double Hopf bifurcation for a reaction-diffusion system with delay and nonlocal spatial average and applications

Saved in:
Bibliographic Details
Published inComputers & mathematics with applications (1987) Vol. 119; pp. 174 - 192
Main Authors Wu, Shuhao, Song, Yongli, Shi, Qingyan
Format Journal Article
LanguageEnglish
Published 01.08.2022
Online AccessGet full text

Cover

Author Shi, Qingyan
Wu, Shuhao
Song, Yongli
Author_xml – sequence: 1
  givenname: Shuhao
  surname: Wu
  fullname: Wu, Shuhao
– sequence: 2
  givenname: Yongli
  surname: Song
  fullname: Song, Yongli
– sequence: 3
  givenname: Qingyan
  surname: Shi
  fullname: Shi, Qingyan
BookMark eNotkM1OwzAQhH0oEm3hCbj4BRLWzl99RBVQpAouvVtbZw2pkjiyW6rceHSctqfR7syOVt-CzXrXE2NPAlIBonw-pAa7M6YSpEyhTAGqGZvDSq0SIaW4Z4sQDgCQZxLm7O_T-Q5bbqME7iyv3WnfEt-4wfJ9Y0_e4LFx_RTgyD2hmcakbqw9hckIYzhSx8_N8YfX1OLIsa95fKp1JhaHId5HxV_y-E0XE4ehba694YHdWWwDPd50yXZvr7v1Jtl-vX-sX7aJUXmVZAoyYUUhFFhr9yourUCZo1GyQlIKCyqBZJEXAqiQsqZa5IqIygpjPFuy7FprvAvBk9WDbzr0oxagJ276oC_c9MRNQ6kjt-wfOMJpvQ
CitedBy_id crossref_primary_10_1016_j_chaos_2022_112798
crossref_primary_10_1002_mma_8853
crossref_primary_10_1007_s11071_024_09484_0
Cites_doi 10.1090/S0002-9947-00-02280-7
10.1016/j.cnsns.2020.105310
10.1016/S0022-5193(89)80189-4
10.1002/mma.8853
10.1016/j.jde.2019.11.039
10.1016/j.physd.2017.02.003
10.1016/j.nonrwa.2019.01.004
10.1006/jdeq.1995.1144
10.1007/s10884-018-9725-4
10.1007/BF00276081
10.1007/s10884-022-10180-z
10.1016/j.tpb.2011.10.001
10.1016/j.aml.2020.106388
10.1093/imamat/hxu048
10.1006/jmaa.2000.7182
10.1142/S0218127412500617
10.1016/j.jde.2019.06.025
10.1016/j.jde.2021.11.046
10.1016/j.chaos.2019.04.012
10.1016/j.cnsns.2016.10.018
10.1007/s11538-018-0410-x
10.1016/j.jde.2018.02.002
10.1016/j.jde.2012.08.031
10.1007/s00285-019-01396-7
10.3934/dcds.2018002
10.1006/jdeq.1995.1145
10.1016/j.cnsns.2019.04.024
ContentType Journal Article
DBID AAYXX
CITATION
DOI 10.1016/j.camwa.2022.06.007
DatabaseName CrossRef
DatabaseTitle CrossRef
DeliveryMethod fulltext_linktorsrc
Discipline Computer Science
EndPage 192
ExternalDocumentID 10_1016_j_camwa_2022_06_007
GroupedDBID --K
--M
-~X
.DC
.~1
0R~
0SF
1B1
1RT
1~.
1~5
29F
4.4
457
4G.
5GY
5VS
6I.
7-5
71M
8P~
9JN
AACTN
AAEDT
AAEDW
AAFTH
AAIKJ
AAKOC
AALRI
AAOAW
AAQFI
AAQXK
AAXKI
AAXUO
AAYFN
AAYXX
ABAOU
ABBOA
ABFNM
ABMAC
ABTAH
ABVKL
ABXDB
ACDAQ
ACGFS
ACIWK
ACNCT
ACNNM
ACRLP
ACZNC
ADBBV
ADEZE
ADMUD
ADTZH
ADVLN
AEBSH
AECPX
AEKER
AENEX
AEXQZ
AFFNX
AFJKZ
AFKWA
AFTJW
AGHFR
AGUBO
AGYEJ
AHHHB
AHJVU
AHZHX
AIALX
AIEXJ
AIGVJ
AIKHN
AITUG
AJOXV
AKRWK
ALMA_UNASSIGNED_HOLDINGS
AMFUW
AMRAJ
AOUOD
ARUGR
ASPBG
AVWKF
AXJTR
AZFZN
BJAXD
BKOJK
BLXMC
CITATION
CS3
DU5
EBS
EFJIC
EJD
EO8
EO9
EP2
EP3
F5P
FDB
FEDTE
FGOYB
FIRID
FNPLU
FYGXN
G-2
G-Q
GBLVA
GBOLZ
HVGLF
HZ~
IHE
IXB
J1W
JJJVA
KOM
LG9
M26
M41
MHUIS
MO0
N9A
NCXOZ
O-L
O9-
OAUVE
OK1
OZT
P-8
P-9
P2P
PC.
PQQKQ
Q38
R2-
RIG
RNS
ROL
RPZ
SDF
SDG
SDP
SES
SEW
SPC
SPCBC
SST
SSV
SSW
SSZ
T5K
TAE
TN5
WUQ
XPP
ZMT
ZY4
~G-
ID FETCH-LOGICAL-c947-39031f15190fffb9c94f1a24ac927ae99a5e60e254510e522ded149eee67ab9c3
ISSN 0898-1221
IngestDate Thu Sep 26 17:39:20 EDT 2024
IsPeerReviewed true
IsScholarly true
Language English
LinkModel OpenURL
MergedId FETCHMERGED-LOGICAL-c947-39031f15190fffb9c94f1a24ac927ae99a5e60e254510e522ded149eee67ab9c3
PageCount 19
ParticipantIDs crossref_primary_10_1016_j_camwa_2022_06_007
PublicationCentury 2000
PublicationDate 2022-08-00
PublicationDateYYYYMMDD 2022-08-01
PublicationDate_xml – month: 08
  year: 2022
  text: 2022-08-00
PublicationDecade 2020
PublicationTitle Computers & mathematics with applications (1987)
PublicationYear 2022
References Chen (10.1016/j.camwa.2022.06.007_br0040) 2012; 253
Faria (10.1016/j.camwa.2022.06.007_br0100) 2001; 254
Faria (10.1016/j.camwa.2022.06.007_br0090) 2000; 352
Ni (10.1016/j.camwa.2022.06.007_br0200) 2018; 264
Song (10.1016/j.camwa.2022.06.007_br0270) 2019; 267
Du (10.1016/j.camwa.2022.06.007_br0070) 2020; 32
Merchant (10.1016/j.camwa.2022.06.007_br0190) 2015; 80
Han (10.1016/j.camwa.2022.06.007_br0150) 2017; 46
Wu (10.1016/j.camwa.2022.06.007_br0300) 2019; 48
Chen (10.1016/j.camwa.2022.06.007_br0030) 2019; 77
Geng (10.1016/j.camwa.2022.06.007_br0140) 2022; 309
Song (10.1016/j.camwa.2022.06.007_br0280) 2020; 107
Song (10.1016/j.camwa.2022.06.007_br0250) 2019; 9
Faria (10.1016/j.camwa.2022.06.007_br0120) 1995; 122
Shen (10.1016/j.camwa.2022.06.007_br0220)
Pal (10.1016/j.camwa.2022.06.007_br0210) 2018; 80
Bayliss (10.1016/j.camwa.2022.06.007_br0010) 2017; 346
Britton (10.1016/j.camwa.2022.06.007_br0020) 1989; 136
Wu (10.1016/j.camwa.2022.06.007_br0310) 2020; 89
Furter (10.1016/j.camwa.2022.06.007_br0130) 1989; 27
Duan (10.1016/j.camwa.2022.06.007_br0080) 2019; 123
Jiang (10.1016/j.camwa.2022.06.007_br0160) 2020; 268
Shi (10.1016/j.camwa.2022.06.007_br0230) 2021
Tian (10.1016/j.camwa.2022.06.007_br0290) 2019; 79
Chen (10.1016/j.camwa.2022.06.007_br0050) 2012; 22
Chen (10.1016/j.camwa.2022.06.007_br0060) 2018; 38
Faria (10.1016/j.camwa.2022.06.007_br0110) 1995; 122
Merchant (10.1016/j.camwa.2022.06.007_br0180) 2011; 80
Kuznetsov (10.1016/j.camwa.2022.06.007_br0170) 2004; vol. 112
Song (10.1016/j.camwa.2022.06.007_br0240) 2022
10.1016/j.camwa.2022.06.007_br0260
References_xml – volume: 352
  start-page: 2217
  issue: 5
  year: 2000
  ident: 10.1016/j.camwa.2022.06.007_br0090
  article-title: Normal forms and Hopf bifurcation for partial differential equations with delays
  publication-title: Trans. Am. Math. Soc.
  doi: 10.1090/S0002-9947-00-02280-7
  contributor:
    fullname: Faria
– volume: 89
  year: 2020
  ident: 10.1016/j.camwa.2022.06.007_br0310
  article-title: Spatiotemporal dynamics of a diffusive predator-prey model with nonlocal effect and delay
  publication-title: Commun. Nonlinear Sci. Numer. Simul.
  doi: 10.1016/j.cnsns.2020.105310
  contributor:
    fullname: Wu
– volume: 136
  start-page: 57
  issue: 1
  year: 1989
  ident: 10.1016/j.camwa.2022.06.007_br0020
  article-title: Aggregation and the competitive exclusion principle
  publication-title: J. Theor. Biol.
  doi: 10.1016/S0022-5193(89)80189-4
  contributor:
    fullname: Britton
– ident: 10.1016/j.camwa.2022.06.007_br0260
  doi: 10.1002/mma.8853
– volume: 268
  start-page: 6067
  issue: 10
  year: 2020
  ident: 10.1016/j.camwa.2022.06.007_br0160
  article-title: Formulation of the normal form of Turing-Hopf bifurcation in partial functional differential equations
  publication-title: J. Differ. Equ.
  doi: 10.1016/j.jde.2019.11.039
  contributor:
    fullname: Jiang
– volume: 346
  start-page: 37
  year: 2017
  ident: 10.1016/j.camwa.2022.06.007_br0010
  article-title: Complex predator invasion waves in a Holling-Tanner model with nonlocal prey interaction
  publication-title: Physica D
  doi: 10.1016/j.physd.2017.02.003
  contributor:
    fullname: Bayliss
– volume: 48
  start-page: 12
  year: 2019
  ident: 10.1016/j.camwa.2022.06.007_br0300
  article-title: Stability and spatiotemporal dynamics in a diffusive predator–prey model with nonlocal prey competition
  publication-title: Nonlinear Anal., Real World Appl.
  doi: 10.1016/j.nonrwa.2019.01.004
  contributor:
    fullname: Wu
– volume: 122
  start-page: 181
  issue: 2
  year: 1995
  ident: 10.1016/j.camwa.2022.06.007_br0120
  article-title: Normal forms for retarded functional differential equations with parameters and applications to Hopf singularity
  publication-title: J. Differ. Equ.
  doi: 10.1006/jdeq.1995.1144
  contributor:
    fullname: Faria
– volume: 32
  start-page: 313
  issue: 1
  year: 2020
  ident: 10.1016/j.camwa.2022.06.007_br0070
  article-title: Double Hopf bifurcation in delayed reaction-diffusion systems
  publication-title: J. Dyn. Differ. Equ.
  doi: 10.1007/s10884-018-9725-4
  contributor:
    fullname: Du
– volume: 27
  start-page: 65
  issue: 1
  year: 1989
  ident: 10.1016/j.camwa.2022.06.007_br0130
  article-title: Local vs. non-local interactions in population-dynamics
  publication-title: J. Math. Biol.
  doi: 10.1007/BF00276081
  contributor:
    fullname: Furter
– year: 2022
  ident: 10.1016/j.camwa.2022.06.007_br0240
  article-title: Double Hopf bifurcation analysis in the memory-based diffusion system
  publication-title: J. Dyn. Differ. Equ.
  doi: 10.1007/s10884-022-10180-z
  contributor:
    fullname: Song
– volume: 80
  start-page: 289
  issue: 4
  year: 2011
  ident: 10.1016/j.camwa.2022.06.007_br0180
  article-title: Instabilities and spatiotemporal patterns behind predator invasions with nonlocal prey competition
  publication-title: Theor. Popul. Biol.
  doi: 10.1016/j.tpb.2011.10.001
  contributor:
    fullname: Merchant
– volume: vol. 112
  year: 2004
  ident: 10.1016/j.camwa.2022.06.007_br0170
  article-title: Elements of Applied Bifurcation Theory
  contributor:
    fullname: Kuznetsov
– volume: 107
  year: 2020
  ident: 10.1016/j.camwa.2022.06.007_br0280
  article-title: Spatio-temporal dynamics of a reaction-diffusion equation with the nonlocal spatial average and delay
  publication-title: Appl. Math. Lett.
  doi: 10.1016/j.aml.2020.106388
  contributor:
    fullname: Song
– volume: 80
  start-page: 1155
  issue: 4
  year: 2015
  ident: 10.1016/j.camwa.2022.06.007_br0190
  article-title: Selection and stability of wave trains behind predator invasions in a model with non-local prey competition
  publication-title: IMA J. Appl. Math.
  doi: 10.1093/imamat/hxu048
  contributor:
    fullname: Merchant
– volume: 254
  start-page: 433
  issue: 2
  year: 2001
  ident: 10.1016/j.camwa.2022.06.007_br0100
  article-title: Stability and bifurcation for a delayed predator-prey model and the effect of diffusion
  publication-title: J. Math. Anal. Appl.
  doi: 10.1006/jmaa.2000.7182
  contributor:
    fullname: Faria
– year: 2021
  ident: 10.1016/j.camwa.2022.06.007_br0230
  article-title: Effect of spatial average on the spatiotemporal pattern formation of reaction-diffusion systems
  publication-title: J. Dyn. Differ. Equ.
  contributor:
    fullname: Shi
– volume: 22
  issue: 3
  year: 2012
  ident: 10.1016/j.camwa.2022.06.007_br0050
  article-title: Global stability and Hopf bifurcation in a delayed diffusive Leslie-Gower predator-prey system
  publication-title: Int. J. Bifurc. Chaos
  doi: 10.1142/S0218127412500617
  contributor:
    fullname: Chen
– volume: 9
  start-page: 1132
  issue: 3
  year: 2019
  ident: 10.1016/j.camwa.2022.06.007_br0250
  article-title: Turing-Hopf bifurcation in the reaction-diffusion system with delay and application to a diffusive predator-prey model
  publication-title: J. Appl. Anal. Comput.
  contributor:
    fullname: Song
– volume: 267
  start-page: 6316
  issue: 11
  year: 2019
  ident: 10.1016/j.camwa.2022.06.007_br0270
  article-title: Spatiotemporal dynamics in the single population model with memory-based diffusion and nonlocal effect
  publication-title: J. Differ. Equ.
  doi: 10.1016/j.jde.2019.06.025
  contributor:
    fullname: Song
– volume: 309
  start-page: 741
  year: 2022
  ident: 10.1016/j.camwa.2022.06.007_br0140
  article-title: Normal form formulations of double-Hopf bifurcation for partial functional differential equations with nonlocal effect
  publication-title: J. Differ. Equ.
  doi: 10.1016/j.jde.2021.11.046
  contributor:
    fullname: Geng
– volume: 123
  start-page: 206
  year: 2019
  ident: 10.1016/j.camwa.2022.06.007_br0080
  article-title: Hopf-Hopf bifurcation and chaotic attractors in a delayed diffusive predator-prey model with fear effect
  publication-title: Chaos Solitons Fractals
  doi: 10.1016/j.chaos.2019.04.012
  contributor:
    fullname: Duan
– ident: 10.1016/j.camwa.2022.06.007_br0220
  contributor:
    fullname: Shen
– volume: 46
  start-page: 49
  year: 2017
  ident: 10.1016/j.camwa.2022.06.007_br0150
  article-title: On a predator-prey reaction-diffusion model with nonlocal effects
  publication-title: Commun. Nonlinear Sci. Numer. Simul.
  doi: 10.1016/j.cnsns.2016.10.018
  contributor:
    fullname: Han
– volume: 80
  start-page: 906
  issue: 4
  year: 2018
  ident: 10.1016/j.camwa.2022.06.007_br0210
  article-title: Analysis of a prey-predator model with non-local interaction in the prey population
  publication-title: Bull. Math. Biol.
  doi: 10.1007/s11538-018-0410-x
  contributor:
    fullname: Pal
– volume: 264
  start-page: 6891
  issue: 11
  year: 2018
  ident: 10.1016/j.camwa.2022.06.007_br0200
  article-title: Global stability and pattern formation in a nonlocal diffusive Lotka-Volterra competition model
  publication-title: J. Differ. Equ.
  doi: 10.1016/j.jde.2018.02.002
  contributor:
    fullname: Ni
– volume: 253
  start-page: 3440
  issue: 12
  year: 2012
  ident: 10.1016/j.camwa.2022.06.007_br0040
  article-title: Stability and Hopf bifurcation in a diffusive logistic population model with nonlocal delay effect
  publication-title: J. Differ. Equ.
  doi: 10.1016/j.jde.2012.08.031
  contributor:
    fullname: Chen
– volume: 79
  start-page: 1319
  issue: 4
  year: 2019
  ident: 10.1016/j.camwa.2022.06.007_br0290
  article-title: Spatiotemporal dynamics of a reaction-diffusion model of pollen tube tip growth
  publication-title: J. Math. Biol.
  doi: 10.1007/s00285-019-01396-7
  contributor:
    fullname: Tian
– volume: 38
  start-page: 43
  issue: 1
  year: 2018
  ident: 10.1016/j.camwa.2022.06.007_br0060
  article-title: Stability and bifurcation on predator-prey systems with nonlocal prey competition
  publication-title: Discrete Contin. Dyn. Syst.
  doi: 10.3934/dcds.2018002
  contributor:
    fullname: Chen
– volume: 122
  start-page: 201
  issue: 2
  year: 1995
  ident: 10.1016/j.camwa.2022.06.007_br0110
  article-title: Normal forms for retarded functional differential equations and applications to Bogdanov-Takens singularity
  publication-title: J. Differ. Equ.
  doi: 10.1006/jdeq.1995.1145
  contributor:
    fullname: Faria
– volume: 77
  start-page: 141
  year: 2019
  ident: 10.1016/j.camwa.2022.06.007_br0030
  article-title: Spatiotemporal dynamics in a ratio-dependent predator-prey model with time delay near the Turing-Hopf bifurcation point
  publication-title: Commun. Nonlinear Sci. Numer. Simul.
  doi: 10.1016/j.cnsns.2019.04.024
  contributor:
    fullname: Chen
SSID ssj0004320
Score 2.4007916
SourceID crossref
SourceType Aggregation Database
StartPage 174
Title Normal forms of double Hopf bifurcation for a reaction-diffusion system with delay and nonlocal spatial average and applications
Volume 119
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1LT9tAEF6lyaWX8ihVeWoO3FKj2Fk_9ogqUAARCSmo9GSt7V3RSMRRiIXgxK_g93b25ZimQoSLFW02K8fzaV6e-YaQw37EmZQ880LJqEdFGHmJ8AsvFlQkScgo0wn9y2E0uKbnN-FNq_XSqFqq5tlR_vTfvpKPSBXXUK6qS3YFydaH4gJ-RvniFSWM13fJeKgcTtOAqCsyirJSjVCDciq72R9ZzfJFKSHvonuomxg8NRSlUlkyy-NskrGKLtKQMU3KiTZx3XtVbq3IBPDJqNoeTezaeOPd9GzdeIh7Daa7mg3Wtc81fqbJoV5nIX5VOg17W93ysk762Grh36VqNa5X9RTi7hWa3EeLbJu0wHjXlczVuo1h8BqY5uhaEVvlaVSpb6b3WKvsm4l5Swrf5B7GGMzfPSgaqSDQdKxmku5reu1_zF5djOjq3MapPiRVh6S62i_-RDoBKjDUnJ3js4vBcNFx2zeEn-5vOD4rXTm4dC8Nn6fhvIzWyRcbdcCxgdAGaYnJJllzIgOr4L-SZ4Mo0IiCUoJBFChEQQNRagNwWEYUGESBkjloRAGCBhyiwCIKLKL0l01obJHR6cno58CzMzq8nFE0TwyNgkSvkfWklBnDRenzgPKcBTEXjPFQRD0RoJ_u9wT6-oUoMCYXQkQxx-39b6SNtyC-E6AyymmoRnOyPmWFn_A8KWLG8iju-Xkst8kP9xDTqWFiSd8Q3c5q23fJ5wVO90h7PqvEPrqb8-zAyv4vgreFVA
link.rule.ids 315,783,787,27936,27937
linkProvider Elsevier
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Normal+forms+of+double+Hopf+bifurcation+for+a+reaction-diffusion+system+with+delay+and+nonlocal+spatial+average+and+applications&rft.jtitle=Computers+%26+mathematics+with+applications+%281987%29&rft.au=Wu%2C+Shuhao&rft.au=Song%2C+Yongli&rft.au=Shi%2C+Qingyan&rft.date=2022-08-01&rft.issn=0898-1221&rft.volume=119&rft.spage=174&rft.epage=192&rft_id=info:doi/10.1016%2Fj.camwa.2022.06.007&rft.externalDBID=n%2Fa&rft.externalDocID=10_1016_j_camwa_2022_06_007
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0898-1221&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0898-1221&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0898-1221&client=summon