Dynamic analysis and control of online information dissemination model considering information beneficiaries

With the rapid rise and widespread adoption of social media, theoretical research on the dynamics of online information dissemination has become increasingly important. Therefore, we developed a new model of information diffusion that took into account the influence of information recipients on the...

Full description

Saved in:
Bibliographic Details
Published inAIMS mathematics Vol. 10; no. 3; pp. 4992 - 5020
Main Authors Zhang, Xuechao, Hu, Yuhan, Lu, Shichang, Guo, Haomiao, Wei, Xiaoyan, li, Jun
Format Journal Article
LanguageEnglish
Published AIMS Press 01.03.2025
Subjects
basic reproduction number
differential equation
information beneficiaries
information spreading
stability analysis
Online AccessGet full text

Cover

Abstract With the rapid rise and widespread adoption of social media, theoretical research on the dynamics of online information dissemination has become increasingly important. Therefore, we developed a new model of information diffusion that took into account the influence of information recipients on the diffusion of information. First, initially, the basic reproduction number of the model was calculated. Then, we analyzed the existence and stability of the equilibrium point. Next, based on the principle of Pontryagin's maximum principle, a control strategy was derived to effectively enhance the propagation of information. Numerical simulations verified the results of theoretical analysis. The results showed that increasing the proportion of propagators and the probability of beneficiaries transitioning into propagators significantly accelerated the speed and extent of information diffusion.
AbstractList With the rapid rise and widespread adoption of social media, theoretical research on the dynamics of online information dissemination has become increasingly important. Therefore, we developed a new model of information diffusion that took into account the influence of information recipients on the diffusion of information. First, initially, the basic reproduction number of the model was calculated. Then, we analyzed the existence and stability of the equilibrium point. Next, based on the principle of Pontryagin's maximum principle, a control strategy was derived to effectively enhance the propagation of information. Numerical simulations verified the results of theoretical analysis. The results showed that increasing the proportion of propagators and the probability of beneficiaries transitioning into propagators significantly accelerated the speed and extent of information diffusion.
Author Hu, Yuhan
Guo, Haomiao
li, Jun
Lu, Shichang
Zhang, Xuechao
Wei, Xiaoyan
Author_xml – sequence: 1
  givenname: Xuechao
  surname: Zhang
  fullname: Zhang, Xuechao
– sequence: 2
  givenname: Yuhan
  surname: Hu
  fullname: Hu, Yuhan
– sequence: 3
  givenname: Shichang
  surname: Lu
  fullname: Lu, Shichang
– sequence: 4
  givenname: Haomiao
  surname: Guo
  fullname: Guo, Haomiao
– sequence: 5
  givenname: Xiaoyan
  surname: Wei
  fullname: Wei, Xiaoyan
– sequence: 6
  givenname: Jun
  surname: li
  fullname: li, Jun
BookMark eNpVkM9OwzAMhyM0JMbYjQfoA7CRJmmbHtH4N2kSFzhHbuIMT22Ckl729mxsQnDyz5b9Wfqu2STEgIzdlnwpW6nuBxg_l4KLSoj2gk2FauSibrWe_MlXbJ7zjnMuSqFEo6asf9wHGMgWEKDfZ8qH4Aobw5hiX0RfxNBTwIKCj-nwgmIoHOWMA4VTN0SH_fEik8NEYftvt8OAnixBIsw37NJDn3F-rjP28fz0vnpdbN5e1quHzcKKuhoXSnklLGpXdUpx9NpWwtlSgQAvNXCupbCV5raUruad1s5XlrfQWOy4aJycsfWJ6yLszFeiAdLeRCDzM4hpayCNZHs0daskKF5pqRuFHbY1L9GpFkUDHXT2wLo7sWyKOSf0v7ySm6N4cxRvzuLlN2tNe1Y
Cites_doi 10.1016/j.physa.2018.04.082
10.1038/srep00335
10.1016/j.physa.2015.12.056
10.3390/computation12010007
10.21236/ADA031020
10.1073/pnas.0810762106
10.1016/j.jarmac.2017.07.008
10.1090/S0894-0347-1992-1124979-1
10.1093/imamat/1.1.42
10.2307/2655234
10.1145/2503792.2503797
10.1038/2041118a0
10.1016/s0166-4972(03)00095-6
10.1109/ACCESS.2019.2939150
10.1109/TNSE.2015.2425961
10.1038/srep01801
10.1007/s10955-012-0595-6
10.1016/j.bushor.2011.01.005
10.1016/j.physd.2006.01.021
10.1016/j.physa.2016.06.080
10.1098/rspa.1917.0015
10.1016/j.physa.2016.09.035
10.1155/2022/5503137
10.1080/0268111011011847
10.1371/journal.pone.0268326
10.1103/physrevlett.132.250402
10.1016/j.physa.2018.08.081
10.1016/j.nahs.2017.08.002
10.1155/2007/64870
ContentType Journal Article
CorporateAuthor School of Economics and Law, University of Science and Technology Liaoning, Anshan, Liaoning, China
School of Science, University of Science and Technology Liaoning, Anshan, Liaoning, China
School of Business Administration, Liaoning Technical University, Huludao, Liaoning, China
CorporateAuthor_xml – name: School of Science, University of Science and Technology Liaoning, Anshan, Liaoning, China
– name: School of Economics and Law, University of Science and Technology Liaoning, Anshan, Liaoning, China
– name: School of Business Administration, Liaoning Technical University, Huludao, Liaoning, China
DBID AAYXX
CITATION
DOA
DOI 10.3934/math.2025229
DatabaseName CrossRef
DOAJ: Directory of Open Access Journal (DOAJ)
DatabaseTitle CrossRef
DatabaseTitleList
Database_xml – sequence: 1
  dbid: DOA
  name: DOAJ Directory of Open Access Journals
  url: https://www.doaj.org/
  sourceTypes: Open Website
DeliveryMethod fulltext_linktorsrc
Discipline Mathematics
EISSN 2473-6988
EndPage 5020
ExternalDocumentID oai_doaj_org_article_6943a40583874ebe9601ed49e27ababc
10_3934_math_2025229
GroupedDBID AAYXX
ADBBV
ALMA_UNASSIGNED_HOLDINGS
AMVHM
BCNDV
CITATION
EBS
FRJ
GROUPED_DOAJ
IAO
ITC
M~E
OK1
RAN
ID FETCH-LOGICAL-c265t-44f42ce8d5b440ef8c52dc14a2af38a00832c580c13d60b88df5c09a7ceb027d3
IEDL.DBID DOA
ISSN 2473-6988
IngestDate Wed Aug 27 01:28:46 EDT 2025
Tue Aug 05 11:56:59 EDT 2025
IsDoiOpenAccess true
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Issue 3
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c265t-44f42ce8d5b440ef8c52dc14a2af38a00832c580c13d60b88df5c09a7ceb027d3
OpenAccessLink https://doaj.org/article/6943a40583874ebe9601ed49e27ababc
PageCount 29
ParticipantIDs doaj_primary_oai_doaj_org_article_6943a40583874ebe9601ed49e27ababc
crossref_primary_10_3934_math_2025229
PublicationCentury 2000
PublicationDate 20250301
PublicationDateYYYYMMDD 2025-03-01
PublicationDate_xml – month: 03
  year: 2025
  text: 20250301
  day: 01
PublicationDecade 2020
PublicationTitle AIMS mathematics
PublicationYear 2025
Publisher AIMS Press
Publisher_xml – name: AIMS Press
References key-10.3934/math.2025229-23
key-10.3934/math.2025229-22
key-10.3934/math.2025229-25
key-10.3934/math.2025229-24
key-10.3934/math.2025229-21
key-10.3934/math.2025229-20
key-10.3934/math.2025229-2
key-10.3934/math.2025229-3
key-10.3934/math.2025229-1
key-10.3934/math.2025229-27
key-10.3934/math.2025229-26
key-10.3934/math.2025229-29
key-10.3934/math.2025229-28
key-10.3934/math.2025229-8
key-10.3934/math.2025229-9
key-10.3934/math.2025229-6
key-10.3934/math.2025229-7
key-10.3934/math.2025229-4
key-10.3934/math.2025229-5
key-10.3934/math.2025229-12
key-10.3934/math.2025229-34
key-10.3934/math.2025229-11
key-10.3934/math.2025229-33
key-10.3934/math.2025229-14
key-10.3934/math.2025229-36
key-10.3934/math.2025229-13
key-10.3934/math.2025229-35
key-10.3934/math.2025229-30
key-10.3934/math.2025229-10
key-10.3934/math.2025229-32
key-10.3934/math.2025229-31
key-10.3934/math.2025229-19
key-10.3934/math.2025229-16
key-10.3934/math.2025229-38
key-10.3934/math.2025229-15
key-10.3934/math.2025229-37
key-10.3934/math.2025229-18
key-10.3934/math.2025229-17
References_xml – ident: key-10.3934/math.2025229-18
  doi: 10.1016/j.physa.2018.04.082
– ident: key-10.3934/math.2025229-22
  doi: 10.1038/srep00335
– ident: key-10.3934/math.2025229-16
  doi: 10.1016/j.physa.2015.12.056
– ident: key-10.3934/math.2025229-38
  doi: 10.3390/computation12010007
– ident: key-10.3934/math.2025229-32
  doi: 10.21236/ADA031020
– ident: key-10.3934/math.2025229-3
  doi: 10.1073/pnas.0810762106
– ident: key-10.3934/math.2025229-4
  doi: 10.1016/j.jarmac.2017.07.008
– ident: key-10.3934/math.2025229-6
  doi: 10.1090/S0894-0347-1992-1124979-1
– ident: key-10.3934/math.2025229-11
  doi: 10.1093/imamat/1.1.42
– ident: key-10.3934/math.2025229-1
  doi: 10.2307/2655234
– ident: key-10.3934/math.2025229-23
  doi: 10.1145/2503792.2503797
– ident: key-10.3934/math.2025229-10
  doi: 10.1038/2041118a0
– ident: key-10.3934/math.2025229-26
  doi: 10.1016/s0166-4972(03)00095-6
– ident: key-10.3934/math.2025229-37
– ident: key-10.3934/math.2025229-33
  doi: 10.1109/ACCESS.2019.2939150
– ident: key-10.3934/math.2025229-27
  doi: 10.1109/TNSE.2015.2425961
– ident: key-10.3934/math.2025229-7
  doi: 10.1038/srep01801
– ident: key-10.3934/math.2025229-28
  doi: 10.1090/S0894-0347-1992-1124979-1
– ident: key-10.3934/math.2025229-12
– ident: key-10.3934/math.2025229-24
  doi: 10.1007/s10955-012-0595-6
– ident: key-10.3934/math.2025229-2
  doi: 10.1016/j.bushor.2011.01.005
– ident: key-10.3934/math.2025229-21
  doi: 10.1016/j.physd.2006.01.021
– ident: key-10.3934/math.2025229-5
– ident: key-10.3934/math.2025229-14
  doi: 10.1016/j.physa.2016.06.080
– ident: key-10.3934/math.2025229-9
  doi: 10.1098/rspa.1917.0015
– ident: key-10.3934/math.2025229-25
– ident: key-10.3934/math.2025229-29
– ident: key-10.3934/math.2025229-17
  doi: 10.1016/j.physa.2016.09.035
– ident: key-10.3934/math.2025229-20
– ident: key-10.3934/math.2025229-35
  doi: 10.1155/2022/5503137
– ident: key-10.3934/math.2025229-31
  doi: 10.1080/0268111011011847
– ident: key-10.3934/math.2025229-8
  doi: 10.1090/S0894-0347-1992-1124979-1
– ident: key-10.3934/math.2025229-30
  doi: 10.1371/journal.pone.0268326
– ident: key-10.3934/math.2025229-34
  doi: 10.1103/physrevlett.132.250402
– ident: key-10.3934/math.2025229-19
  doi: 10.1016/j.physa.2018.08.081
– ident: key-10.3934/math.2025229-36
– ident: key-10.3934/math.2025229-15
  doi: 10.1016/j.nahs.2017.08.002
– ident: key-10.3934/math.2025229-13
  doi: 10.1155/2007/64870
SSID ssj0002124274
Score 2.2847698
Snippet With the rapid rise and widespread adoption of social media, theoretical research on the dynamics of online information dissemination has become increasingly...
SourceID doaj
crossref
SourceType Open Website
Index Database
StartPage 4992
SubjectTerms basic reproduction number
differential equation
information beneficiaries
information spreading
stability analysis
Title Dynamic analysis and control of online information dissemination model considering information beneficiaries
URI https://doaj.org/article/6943a40583874ebe9601ed49e27ababc
Volume 10
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV07T8MwELZQJxgQT1EKyAOMUR374tgjr6pCKhOVukV-TqhFUP4_ZztU7cTClkROYn2X3H1nn74j5DaqaCEYqCyXrgLFoNIth8q7YFvBmTR56WL2KqdzeFk0i61WX6kmrMgDF-DGUoMwyCqUUC3gG5Fx18GDDrw11liXvC_GvK1kKvlgdMiA-VapdBdawBj5X9p74Mg39E4M2pLqzzFlckQOezJI78skjsleWJ6Qg9lGSfXrlLw_lZbx1PTqIXjgaV9gTleRFqkL2gugJphp3mNPJS75LPe6SXfkxpwYqXbGWvR1WUQipcxnZD55fnucVn2HhMpx2awrgAjcBeUbC8BCVK7h3tVguIlCmcSvuGsUc7XwklmlfGwc06ZFS2A-6sU5GSxXy3BBqFTphzR141nElLnVrdDMgAxeeo2gDcndL2bdRxHC6DCBSNh2Cduux3ZIHhKgmzFJvjpfQKN2vVG7v4x6-R8PGZH9NKdSMHZFBuvP73CNDGJtb_LH8gNjfscZ
linkProvider Directory of Open Access Journals
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=Dynamic+analysis+and+control+of+online+information+dissemination+model+considering+information+beneficiaries&rft.jtitle=AIMS+mathematics&rft.au=Zhang%2C+Xuechao&rft.au=Hu%2C+Yuhan&rft.au=Lu%2C+Shichang&rft.au=Guo%2C+Haomiao&rft.date=2025-03-01&rft.issn=2473-6988&rft.eissn=2473-6988&rft.volume=10&rft.issue=3&rft.spage=4992&rft.epage=5020&rft_id=info:doi/10.3934%2Fmath.2025229&rft.externalDBID=n%2Fa&rft.externalDocID=10_3934_math_2025229
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=2473-6988&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=2473-6988&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=2473-6988&client=summon