{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,11]],"date-time":"2026-04-11T20:32:56Z","timestamp":1775939576494,"version":"3.50.1"},"reference-count":56,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"2","funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12231012"],"award-info":[{"award-number":["12231012"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61873154"],"award-info":[{"award-number":["61873154"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11971143"],"award-info":[{"award-number":["11971143"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Appl. Dyn. Syst."],"published-print":{"date-parts":[[2023,6,30]]},"DOI":"10.1137\/21m1439092","type":"journal-article","created":{"date-parts":[[2023,5,16]],"date-time":"2023-05-16T22:50:21Z","timestamp":1684277421000},"page":"559-602","source":"Crossref","is-referenced-by-count":5,"title":["The Steady State Bifurcation for General Network-Organized Reaction-Diffusion Systems and Its Application in a Metapopulation Epidemic Model"],"prefix":"10.1137","volume":"22","author":[{"given":"Wei","family":"Gou","sequence":"first","affiliation":[{"name":"School of Data Science and Technology, North University of China, Taiyuan 030051, China."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yongli","family":"Song","sequence":"additional","affiliation":[{"name":"School of Mathematics, Hangzhou Normal University, Hangzhou 311121, China."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9763-707X","authenticated-orcid":true,"given":"Zhen","family":"Jin","sequence":"additional","affiliation":[{"name":"Corresponding author. Complex Systems Research Center, Shanxi University, Taiyuan 030006, China; Shanxi Key Laboratory of Mathematical Technique and Big Data Analysis on Disease Control and Prevention, Shanxi University, Taiyuan 030006, China."}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"351","published-online":{"date-parts":[[2023,5,15]]},"reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1137\/060672522"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.90.042814"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1038\/ncomms5517"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1126\/science.286.5439.509"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511791383"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.3934\/mbe.2005.2.133"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.97.032307"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1126\/science.1245200"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-5929-9"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1063\/1.5135069"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1088\/1367-2630\/ab3078"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.1719889115"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1038\/35087580"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1137\/18M1211957"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1088\/1367-2630\/ab825e"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-021-06710-x"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2022.11.026"},{"key":"ref18","volume-title":"Kronecker Products and Matrix Calculus: With Applications","author":"Graham A.","year":"1981"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1016\/B978-0-12-396992-7.00002-2"},{"key":"ref20","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780198540663.001.0001","volume-title":"Metapopulation Ecology","author":"Hanski I.","year":"1999"},{"key":"ref21","volume-title":"Theory and Applications of Hopf Bifurcation","author":"Hassard B. D.","year":"1981"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1038\/srep03585"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1038\/nature07395"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2004.06.044"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1016\/j.aml.2019.05.010"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2019.11.039"},{"key":"ref27","volume-title":"Elements of Applied Bifurcation Theory","author":"Kuznetsov Y. A.","year":"1998"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1093\/besa\/15.3.237"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1006\/jdeq.1996.0157"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1016\/j.physrep.2017.07.007"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2005.05.002"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1016\/j.jtbi.2019.07.004"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1038\/nphys1651"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1137\/S003614450342480"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1016\/0022-5193(71)90154-8"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1016\/S0022-5193(74)80047-0"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1209\/0295-5075\/111\/58002"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.119.148301"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1007\/s002850100105"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1016\/0025-5564(94)00068-B"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1038\/35098000"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1016\/j.tree.2003.09.002"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1007\/s10884-019-09757-y"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1137\/16M1097560"},{"key":"ref45","first-page":"1132","volume":"9","author":"Song Y.","year":"2019","journal-title":"J. Appl. Anal. Comput."},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2019.06.025"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2015.10.002"},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-014-1421-2"},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.1137\/18M1204966"},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.1890\/0012-9658(2001)082[1205:LCAGTP]2.0.CO;2"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.1007\/s11434-014-0499-8"},{"key":"ref52","doi-asserted-by":"publisher","DOI":"10.1016\/j.nonrwa.2012.01.018"},{"key":"ref53","doi-asserted-by":"publisher","DOI":"10.1016\/j.mbs.2002.11.001"},{"key":"ref54","doi-asserted-by":"publisher","DOI":"10.1038\/30918"},{"key":"ref55","volume-title":"Introduction to Applied Nonlinear Dynamical Systems and Chaos","author":"Wiggins S.","year":"2003"},{"key":"ref56","doi-asserted-by":"publisher","DOI":"10.1007\/s10980-015-0312-3"}],"container-title":["SIAM Journal on Applied Dynamical Systems"],"original-title":[],"language":"en","deposited":{"date-parts":[[2023,12,13]],"date-time":"2023-12-13T03:45:00Z","timestamp":1702439100000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/21M1439092"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,5,15]]},"references-count":56,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2023,6,30]]}},"alternative-id":["10.1137\/21M1439092"],"URL":"https:\/\/doi.org\/10.1137\/21m1439092","relation":{},"ISSN":["1536-0040"],"issn-type":[{"value":"1536-0040","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,5,15]]}}}