{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T15:10:36Z","timestamp":1753888236279,"version":"3.41.2"},"reference-count":27,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2021,7,9]],"date-time":"2021-07-09T00:00:00Z","timestamp":1625788800000},"content-version":"vor","delay-in-days":189,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100017588","name":"Huainan Normal University","doi-asserted-by":"crossref","award":["XJTD202008"],"award-info":[{"award-number":["XJTD202008"]}],"id":[{"id":"10.13039\/501100017588","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2021,1]]},"abstract":"<jats:p>A reaction diffusion system is used to study the interaction between species in a population dynamic system. It is not only used in a population dynamic system with the diffusion phenomenon but also used in physical chemistry, medicine, and animal and plant protection. It has been studied by more and more scholars in recent years. The FitzHugh\u2013Nagumo model is one of the most famous reaction\u2010diffusion models. This article takes a deeper look at a FitzHugh\u2013Nagumo model in a network with time delay. Firstly, we studied the linear stability of the equilibrium, then the existence of Hopf bifurcation is given, and finally, the stability of the Hopf bifurcation is introduced.<\/jats:p>","DOI":"10.1155\/2021\/9931662","type":"journal-article","created":{"date-parts":[[2021,7,9]],"date-time":"2021-07-09T17:08:23Z","timestamp":1625850503000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Hopf Bifurcation for a FitzHugh\u2013Nagumo Model with Time Delay in a Network"],"prefix":"10.1155","volume":"2021","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5098-738X","authenticated-orcid":false,"given":"Suxia","family":"Wang","sequence":"first","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2021,7,9]]},"reference":[{"key":"e_1_2_7_1_2","doi-asserted-by":"publisher","DOI":"10.2307\/2332328"},{"key":"e_1_2_7_2_2","doi-asserted-by":"publisher","DOI":"10.1126\/science.284.5421.1826"},{"volume-title":"Models of Biological Pattern Formation","year":"1982","author":"Meinhardt H.","key":"e_1_2_7_3_2"},{"key":"e_1_2_7_4_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00285-005-0319-5"},{"key":"e_1_2_7_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2011.06.071"},{"key":"e_1_2_7_6_2","first-page":"1","article-title":"Turing and Hopf Bifurcation of Gierer-Meinhardt Activator-Substrate Model","volume":"2017","author":"Wu R. 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