{"id":"https://openalex.org/W4405334240","doi":"https://doi.org/10.1137/24m1652374","title":"Dynamics of a Reaction-Diffusion SIS Epidemic Model with a Control Zone","display_name":"Dynamics of a Reaction-Diffusion SIS Epidemic Model with a Control Zone","publication_year":2024,"publication_date":"2024-12-12","ids":{"openalex":"https://openalex.org/W4405334240","doi":"https://doi.org/10.1137/24m1652374"},"language":"en","primary_location":{"id":"doi:10.1137/24m1652374","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m1652374","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045134836","display_name":"Yaru Hu","orcid":null},"institutions":[{"id":"https://openalex.org/I134052481","display_name":"Harbin Normal University","ror":"https://ror.org/0270y6950","country_code":"CN","type":"education","lineage":["https://openalex.org/I134052481"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yaru Hu","raw_affiliation_strings":["School of Mathematical Sciences, Harbin Normal University, Harbin 150025, People\u2019s Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Harbin Normal University, Harbin 150025, People\u2019s Republic of China","institution_ids":["https://openalex.org/I134052481"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091351824","display_name":"Yu Jin","orcid":"https://orcid.org/0000-0003-4169-9754"},"institutions":[{"id":"https://openalex.org/I114395901","display_name":"University of Nebraska\u2013Lincoln","ror":"https://ror.org/043mer456","country_code":"US","type":"education","lineage":["https://openalex.org/I114395901"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yu Jin","raw_affiliation_strings":["Department of Mathematics, University of Nebraska-Lincoln, Lincoln, NE 68588 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Nebraska-Lincoln, Lincoln, NE 68588 USA","institution_ids":["https://openalex.org/I114395901"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100344674","display_name":"Jinfeng Wang","orcid":"https://orcid.org/0000-0002-0103-163X"},"institutions":[{"id":"https://openalex.org/I134052481","display_name":"Harbin Normal University","ror":"https://ror.org/0270y6950","country_code":"CN","type":"education","lineage":["https://openalex.org/I134052481"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinfeng Wang","raw_affiliation_strings":["Corresponding author. School of Mathematical Sciences and Y. Y. Tseng Functional Analysis Research Center, Harbin Normal University, Harbin 150025, People\u2019s Republic of China","School of Mathematical Sciences and Y. Y. Tseng Functional Analysis Research Center, Harbin Normal University, Harbin 150025, People\u2019s Republic of China"],"raw_orcid":"https://orcid.org/0000-0002-0103-163X","affiliations":[{"raw_affiliation_string":"Corresponding author. School of Mathematical Sciences and Y. Y. Tseng Functional Analysis Research Center, Harbin Normal University, Harbin 150025, People\u2019s Republic of China","institution_ids":["https://openalex.org/I134052481"]},{"raw_affiliation_string":"School of Mathematical Sciences and Y. Y. Tseng Functional Analysis Research Center, Harbin Normal University, Harbin 150025, People\u2019s Republic of China","institution_ids":["https://openalex.org/I134052481"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.0554,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.94527557,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":100},"biblio":{"volume":"84","issue":"6","first_page":"2569","last_page":"2589"},"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":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T10410","display_name":"COVID-19 epidemiological studies","score":0.9973000288009644,"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"}},{"id":"https://openalex.org/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9574000239372253,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/reaction\u2013diffusion-system","display_name":"Reaction\u2013diffusion system","score":0.71525639295578},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.6371967792510986},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.5381689071655273},{"id":"https://openalex.org/keywords/epidemic-model","display_name":"Epidemic model","score":0.5233763456344604},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46395108103752136},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4572886526584625},{"id":"https://openalex.org/keywords/reaction-dynamics","display_name":"Reaction dynamics","score":0.45720914006233215},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3765749931335449},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33996647596359253},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2703699469566345},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.21635010838508606},{"id":"https://openalex.org/keywords/demography","display_name":"Demography","score":0.16442105174064636},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.11292973160743713},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.09707653522491455},{"id":"https://openalex.org/keywords/sociology","display_name":"Sociology","score":0.08996126055717468}],"concepts":[{"id":"https://openalex.org/C121231716","wikidata":"https://www.wikidata.org/wiki/Q901210","display_name":"Reaction\u2013diffusion system","level":2,"score":0.71525639295578},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.6371967792510986},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.5381689071655273},{"id":"https://openalex.org/C1627819","wikidata":"https://www.wikidata.org/wiki/Q2572354","display_name":"Epidemic model","level":3,"score":0.5233763456344604},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46395108103752136},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4572886526584625},{"id":"https://openalex.org/C37798101","wikidata":"https://www.wikidata.org/wiki/Q7300259","display_name":"Reaction dynamics","level":3,"score":0.45720914006233215},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3765749931335449},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33996647596359253},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2703699469566345},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.21635010838508606},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.16442105174064636},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.11292973160743713},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.09707653522491455},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.08996126055717468},{"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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C32909587","wikidata":"https://www.wikidata.org/wiki/Q11369","display_name":"Molecule","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/24m1652374","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m1652374","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Good health and well-being","score":0.7900000214576721,"id":"https://metadata.un.org/sdg/3"}],"awards":[{"id":"https://openalex.org/G4094835239","display_name":"\u5177\u6709\u8d8b\u5316\u6027\u548c\u5bf9\u6d41\u6027\u53cd\u5e94\u6269\u6563\u65b9\u7a0b\u82e5\u5e72\u95ee\u9898\u7684\u7814\u7a76","funder_award_id":"11971135","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"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W1550364336","https://openalex.org/W1622308394","https://openalex.org/W1966280076","https://openalex.org/W1972963952","https://openalex.org/W2008686523","https://openalex.org/W2013690214","https://openalex.org/W2019149763","https://openalex.org/W2024882325","https://openalex.org/W2034207977","https://openalex.org/W2037110371","https://openalex.org/W2044266995","https://openalex.org/W2046573764","https://openalex.org/W2081047588","https://openalex.org/W2101313164","https://openalex.org/W2112624608","https://openalex.org/W2120262351","https://openalex.org/W2121052692","https://openalex.org/W2324618167","https://openalex.org/W2481427767","https://openalex.org/W2496244094","https://openalex.org/W2565729349","https://openalex.org/W2604314459","https://openalex.org/W2734591266","https://openalex.org/W2778994527","https://openalex.org/W2782533806","https://openalex.org/W2905108151","https://openalex.org/W2923237801","https://openalex.org/W2954735796","https://openalex.org/W2963687555","https://openalex.org/W2963782105","https://openalex.org/W3021802824","https://openalex.org/W3023260492","https://openalex.org/W3094393994","https://openalex.org/W3123194276","https://openalex.org/W3190961213","https://openalex.org/W4292435720","https://openalex.org/W4312038183","https://openalex.org/W4322505514","https://openalex.org/W4382682956","https://openalex.org/W4382798111","https://openalex.org/W4386088880"],"related_works":["https://openalex.org/W2147581087","https://openalex.org/W1636325709","https://openalex.org/W2724817865","https://openalex.org/W2400992695","https://openalex.org/W2382944939","https://openalex.org/W2291447000","https://openalex.org/W2032624981","https://openalex.org/W2300226538","https://openalex.org/W1986321025","https://openalex.org/W2025806832"],"abstract_inverted_index":{"Abstract.":[0],"In":[1,44],"this":[2],"paper,":[3],"we":[4,46],"investigate":[5],"a":[6,12,23,67,126],"susceptible-infected-susceptible":[7],"(SIS)":[8],"reaction-diffusion":[9],"model":[10],"with":[11],"control":[13,50,64,105],"zone":[14,51,65],"where":[15],"new":[16],"infections":[17],"do":[18],"not":[19],"occur.":[20],"We":[21,74],"introduce":[22],"basic":[24],"reproduction":[25],"number":[26],"[Formula:":[27,41],"see":[28,42],"text]":[29],"and":[30,60,118],"establish":[31],"threshold-type":[32],"results":[33,99],"on":[34,71],"the":[35,48,54,57,63,77,81,86,90,102,110,113,120,123,130,133],"global":[36],"dynamics":[37],"in":[38,66,137],"terms":[39],"of":[40,56,62,80,89,104,112,122,125,132],"text].":[43],"particular,":[45],"design":[47],"optimal":[49],"by":[52],"investigating":[53],"influence":[55],"starting":[58],"point":[59],"length":[61],"one-dimensional":[68],"bounded":[69],"habitat":[70],"disease":[72,114,134],"transmission.":[73],"also":[75],"study":[76],"asymptotic":[78],"distribution":[79],"endemic":[82],"steady":[83],"state":[84],"when":[85],"diffusion":[87],"rates":[88],"population":[91,127],"are":[92],"sufficiently":[93],"small":[94],"or":[95],"large.":[96],"Our":[97],"analytical":[98],"show":[100],"that":[101,119],"introduction":[103],"zones":[106],"tends":[107],"to":[108,115,129],"suppress":[109],"persistence":[111],"some":[116],"extent":[117],"restriction":[121],"movement":[124],"yields":[128],"extinction":[131],"at":[135],"least":[136],"low-risk":[138],"areas.":[139]},"counts_by_year":[{"year":2026,"cited_by_count":9},{"year":2025,"cited_by_count":1}],"updated_date":"2026-08-22T07:34:49.880490","created_date":"2025-10-10T00:00:00"}
