{"id":"https://openalex.org/W3080711769","doi":"https://doi.org/10.1016/j.jmaa.2020.124539","title":"Spatiotemporal dynamics analysis and optimal control method for an SI reaction-diffusion propagation model","display_name":"Spatiotemporal dynamics analysis and optimal control method for an SI reaction-diffusion propagation model","publication_year":2020,"publication_date":"2020-08-26","ids":{"openalex":"https://openalex.org/W3080711769","doi":"https://doi.org/10.1016/j.jmaa.2020.124539","mag":"3080711769"},"language":"en","primary_location":{"id":"doi:10.1016/j.jmaa.2020.124539","doi":"https://doi.org/10.1016/j.jmaa.2020.124539","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.jmaa.2020.124539","pdf_url":null,"source":{"id":"https://openalex.org/S151579836","display_name":"Journal of Mathematical Analysis and Applications","issn_l":"0022-247X","issn":["0022-247X","1096-0813"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-1","norway-1","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Analysis and Applications","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://doi.org/10.1016/j.jmaa.2020.124539","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5057711793","display_name":"Linhe Zhu","orcid":"https://orcid.org/0000-0002-2457-4821","observed_orcids":["https://orcid.org/0000-0002-2457-4821"]},"institutions":[{"id":"https://openalex.org/I115592961","display_name":"Jiangsu University","ror":"https://ror.org/03jc41j30","country_code":"CN","type":"education","lineage":["https://openalex.org/I115592961"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Linhe Zhu","raw_affiliation_strings":["School of Mathematical Sciences, Jiangsu University, Zhenjiang, 212013, People's Republic of China"],"raw_orcid":"https://orcid.org/0000-0002-2457-4821","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Jiangsu University, Zhenjiang, 212013, People's Republic of China","institution_ids":["https://openalex.org/I115592961"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101185473","display_name":"Xiaoyuan Huang","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I115592961","display_name":"Jiangsu University","ror":"https://ror.org/03jc41j30","country_code":"CN","type":"education","lineage":["https://openalex.org/I115592961"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaoyuan Huang","raw_affiliation_strings":["School of Mathematical Sciences, Jiangsu University, Zhenjiang, 212013, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Jiangsu University, Zhenjiang, 212013, People's Republic of China","institution_ids":["https://openalex.org/I115592961"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101584889","display_name":"Ying Liu","orcid":"https://orcid.org/0000-0001-5199-236X","observed_orcids":["https://orcid.org/0000-0001-5199-236X"]},"institutions":[{"id":"https://openalex.org/I115592961","display_name":"Jiangsu University","ror":"https://ror.org/03jc41j30","country_code":"CN","type":"education","lineage":["https://openalex.org/I115592961"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ying Liu","raw_affiliation_strings":["School of Mathematical Sciences, Jiangsu University, Zhenjiang, 212013, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Jiangsu University, Zhenjiang, 212013, People's Republic of China","institution_ids":["https://openalex.org/I115592961"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009114285","display_name":"Zhengdi Zhang","orcid":"https://orcid.org/0000-0002-7923-586X","observed_orcids":["https://orcid.org/0000-0002-7923-586X","https://orcid.org/0009-0008-5623-1701"]},"institutions":[{"id":"https://openalex.org/I115592961","display_name":"Jiangsu University","ror":"https://ror.org/03jc41j30","country_code":"CN","type":"education","lineage":["https://openalex.org/I115592961"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhengdi Zhang","raw_affiliation_strings":["School of Mathematical Sciences, Jiangsu University, Zhenjiang, 212013, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Jiangsu University, Zhenjiang, 212013, People's Republic of China","institution_ids":["https://openalex.org/I115592961"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5057711793"],"corresponding_institution_ids":["https://openalex.org/I115592961"],"apc_list":{"value":1600,"currency":"USD","value_usd":1600},"apc_paid":null,"fwci":3.1237,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.92817192,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":92,"max":99},"biblio":{"volume":"493","issue":"2","first_page":"124539","last_page":"124539"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.0007999999797903001,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11829","display_name":"Mathematical Biology Tumor Growth","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/rumor-spreading","display_name":"rumor propagation","score":0.9800000190734863},{"id":"https://openalex.org/keywords/social-networks","display_name":"social networks","score":0.6840000152587891},{"id":"https://openalex.org/keywords/spatiotemporal-dynamics","display_name":"spatiotemporal dynamics","score":0.9039999842643738},{"id":"https://openalex.org/keywords/uniform-persistence","display_name":"uniform persistence","score":0.8019999861717224},{"id":"https://openalex.org/keywords/asymptotic-behavior","display_name":"asymptotic behavior","score":0.7229999899864197},{"id":"https://openalex.org/keywords/time-delay","display_name":"time delay","score":0.7289999723434448},{"id":"https://openalex.org/keywords/stability-of-equilibrium","display_name":"equilibrium stability","score":0.6620000004768372},{"id":"https://openalex.org/keywords/optimal-control","display_name":"optimal control","score":0.9649999737739563},{"id":"https://openalex.org/keywords/spatially-heterogeneous-environment","display_name":"spatially heterogeneous environment","score":0.7429999709129333}],"concepts":[{"id":"https://openalex.org/C2780469804","wikidata":"https://www.wikidata.org/wiki/Q878352","display_name":"Rumor","level":2,"score":0.8799362778663635},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.6546554565429688},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.6166121363639832},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.587018609046936},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5463552474975586},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.527759850025177},{"id":"https://openalex.org/C121231716","wikidata":"https://www.wikidata.org/wiki/Q901210","display_name":"Reaction\u2013diffusion system","level":2,"score":0.5080509185791016},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.45346251130104065},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.43590247631073},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4232114851474762},{"id":"https://openalex.org/C158207573","wikidata":"https://www.wikidata.org/wiki/Q5747224","display_name":"Heterogeneous network","level":4,"score":0.4207220673561096},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40726688504219055},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3224020004272461},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27862125635147095},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.21524390578269958},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.10256630182266235},{"id":"https://openalex.org/C108037233","wikidata":"https://www.wikidata.org/wiki/Q11375","display_name":"Wireless network","level":3,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C39549134","wikidata":"https://www.wikidata.org/wiki/Q133080","display_name":"Public relations","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.jmaa.2020.124539","doi":"https://doi.org/10.1016/j.jmaa.2020.124539","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.jmaa.2020.124539","pdf_url":null,"source":{"id":"https://openalex.org/S151579836","display_name":"Journal of Mathematical Analysis and Applications","issn_l":"0022-247X","issn":["0022-247X","1096-0813"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-1","norway-1","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Analysis and Applications","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/j.jmaa.2020.124539","doi":"https://doi.org/10.1016/j.jmaa.2020.124539","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.jmaa.2020.124539","pdf_url":null,"source":{"id":"https://openalex.org/S151579836","display_name":"Journal of Mathematical Analysis and Applications","issn_l":"0022-247X","issn":["0022-247X","1096-0813"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-1","norway-1","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Analysis and Applications","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1804070562","display_name":null,"funder_award_id":"2019M661732","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"},{"id":"https://openalex.org/G2472306845","display_name":null,"funder_award_id":"BK20190836","funder_id":"https://openalex.org/F4320322769","funder_display_name":"Natural Science Foundation of Jiangsu Province"},{"id":"https://openalex.org/G5737974334","display_name":null,"funder_award_id":"19KJB110001","funder_id":"https://openalex.org/F4320335440","funder_display_name":"Natural Science Research of Jiangsu Higher Education Institutions of China"},{"id":"https://openalex.org/G6673433055","display_name":"\u975e\u5149\u6ed1Filippov\u7cfb\u7edf\u7684\u5c40\u90e8\u548c\u5168\u5c40\u52a8\u529b\u5b66\u884c\u4e3a\u7814\u7a76","funder_award_id":"11872189","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"},{"id":"https://openalex.org/F4320322769","display_name":"Natural Science Foundation of Jiangsu Province","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335440","display_name":"Natural Science Research of Jiangsu Higher Education Institutions of China","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":59,"referenced_works":["https://openalex.org/W29843464","https://openalex.org/W161997657","https://openalex.org/W1572548753","https://openalex.org/W1866311589","https://openalex.org/W1964385385","https://openalex.org/W1966280076","https://openalex.org/W1976180149","https://openalex.org/W1980274228","https://openalex.org/W1991038590","https://openalex.org/W2003914371","https://openalex.org/W2014573409","https://openalex.org/W2042391826","https://openalex.org/W2045656915","https://openalex.org/W2046573764","https://openalex.org/W2050316258","https://openalex.org/W2057223184","https://openalex.org/W2063996143","https://openalex.org/W2084664184","https://openalex.org/W2090749521","https://openalex.org/W2091947980","https://openalex.org/W2111574777","https://openalex.org/W2120262351","https://openalex.org/W2152082006","https://openalex.org/W2171580218","https://openalex.org/W2177882997","https://openalex.org/W2322105189","https://openalex.org/W2417541270","https://openalex.org/W2463473857","https://openalex.org/W2494123768","https://openalex.org/W2496244094","https://openalex.org/W2524699934","https://openalex.org/W2530986378","https://openalex.org/W2551940657","https://openalex.org/W2580641440","https://openalex.org/W2604314459","https://openalex.org/W2734591266","https://openalex.org/W2744253309","https://openalex.org/W2755612150","https://openalex.org/W2765279419","https://openalex.org/W2770246234","https://openalex.org/W2789735877","https://openalex.org/W2792221787","https://openalex.org/W2805424989","https://openalex.org/W2806838729","https://openalex.org/W2843318926","https://openalex.org/W2885465254","https://openalex.org/W2898342801","https://openalex.org/W2914804271","https://openalex.org/W2923237801","https://openalex.org/W2929614383","https://openalex.org/W2943582935","https://openalex.org/W2944499514","https://openalex.org/W2961041337","https://openalex.org/W2963678084","https://openalex.org/W2967370385","https://openalex.org/W2993575813","https://openalex.org/W2997843974","https://openalex.org/W2998769307","https://openalex.org/W4232523802"],"related_works":["https://openalex.org/W3195308495","https://openalex.org/W3083539885","https://openalex.org/W3092909289","https://openalex.org/W3158507292","https://openalex.org/W4386578642","https://openalex.org/W3092587038","https://openalex.org/W4313611685","https://openalex.org/W3080804004","https://openalex.org/W4241952917","https://openalex.org/W4292640189"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":2}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2020-09-01T00:00:00"}