{"id":"https://openalex.org/W2062926861","doi":"https://doi.org/10.1080/00207160.2013.818667","title":"Periodic solutions of an SIS epidemic model with fixed-time birth pulses and state feedback pulse treatments","display_name":"Periodic solutions of an SIS epidemic model with fixed-time birth pulses and state feedback pulse treatments","publication_year":2013,"publication_date":"2013-07-01","ids":{"openalex":"https://openalex.org/W2062926861","doi":"https://doi.org/10.1080/00207160.2013.818667","mag":"2062926861"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2013.818667","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-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/A5090269551","display_name":"Guirong Jiang","orcid":"https://orcid.org/0000-0002-5435-5187"},"institutions":[{"id":"https://openalex.org/I3129996945","display_name":"Guilin University of Aerospace Technology","ror":"https://ror.org/00h1gc758","country_code":"CN","type":"education","lineage":["https://openalex.org/I3129996945"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guirong Jiang","raw_affiliation_strings":["Department of Electronic Engineering, Guilin University of Aerospace Technology, Guilin541004, China#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, Guilin University of Aerospace Technology, Guilin541004, China#TAB#","institution_ids":["https://openalex.org/I3129996945"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035273559","display_name":"Suyu Liu","orcid":"https://orcid.org/0000-0003-0126-2646"},"institutions":[{"id":"https://openalex.org/I5343935","display_name":"Guilin University of Electronic Technology","ror":"https://ror.org/05arjae42","country_code":"CN","type":"education","lineage":["https://openalex.org/I5343935"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Suyu Liu","raw_affiliation_strings":["School of Mathematics and Computing Science,Guilin University of Electronic Technology,Guilin541004,China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computing Science,Guilin University of Electronic Technology,Guilin541004,China","institution_ids":["https://openalex.org/I5343935"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100666168","display_name":"Ling Lin","orcid":null},"institutions":[{"id":"https://openalex.org/I5343935","display_name":"Guilin University of Electronic Technology","ror":"https://ror.org/05arjae42","country_code":"CN","type":"education","lineage":["https://openalex.org/I5343935"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lin Ling","raw_affiliation_strings":["School of Mathematics and Computing Science,Guilin University of Electronic Technology,Guilin541004,China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computing Science,Guilin University of Electronic Technology,Guilin541004,China","institution_ids":["https://openalex.org/I5343935"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.644,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":4,"citation_normalized_percentile":{"value":0.739005,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":78,"max":80},"biblio":{"volume":"91","issue":"5","first_page":"844","last_page":"856"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9999,"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":0.9999,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9987,"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/T10410","display_name":"COVID-19 epidemiological studies","score":0.9981,"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/epidemic-model","display_name":"Epidemic model","score":0.6506992}],"concepts":[{"id":"https://openalex.org/C2780167933","wikidata":"https://www.wikidata.org/wiki/Q1550652","display_name":"Pulse (music)","level":3,"score":0.72615373},{"id":"https://openalex.org/C1627819","wikidata":"https://www.wikidata.org/wiki/Q2572354","display_name":"Epidemic model","level":3,"score":0.6506992},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6426465},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5624532},{"id":"https://openalex.org/C2781291010","wikidata":"https://www.wikidata.org/wiki/Q178580","display_name":"Period (music)","level":2,"score":0.45561892},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.42949036},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3585623},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.32666987},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.20360562},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.14474651},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.13204572},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12941593},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.100253105},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.076574445},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.056767702},{"id":"https://openalex.org/C94915269","wikidata":"https://www.wikidata.org/wiki/Q1834857","display_name":"Detector","level":2,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2013.818667","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/3","score":0.87,"display_name":"Good health and well-being"}],"grants":[],"datasets":[],"versions":[],"referenced_works_count":19,"referenced_works":["https://openalex.org/W1979616160","https://openalex.org/W1998269452","https://openalex.org/W1999480868","https://openalex.org/W2004269351","https://openalex.org/W2004651290","https://openalex.org/W2014317435","https://openalex.org/W2050240106","https://openalex.org/W2054937635","https://openalex.org/W2055316229","https://openalex.org/W2069229680","https://openalex.org/W2069939097","https://openalex.org/W2072476780","https://openalex.org/W2079780715","https://openalex.org/W2082870980","https://openalex.org/W2138262877","https://openalex.org/W2144301074","https://openalex.org/W2148301044","https://openalex.org/W2160105762","https://openalex.org/W580296679"],"related_works":["https://openalex.org/W4205126294","https://openalex.org/W3029978767","https://openalex.org/W2590211375","https://openalex.org/W2581822552","https://openalex.org/W2579680219","https://openalex.org/W2579643896","https://openalex.org/W2427383484","https://openalex.org/W2361078629","https://openalex.org/W2084547503","https://openalex.org/W1991329690"],"abstract_inverted_index":{"AbstractFixed-time":[0],"pulse":[1,37],"and":[2,34,46,60,89,114],"state":[3,35],"pulse,":[4],"which":[5],"were":[6],"discussed":[7,40],"separately":[8],"in":[9,14,20],"previous":[10],"works,":[11],"are":[12,39,64],"introduced":[13],"a":[15],"susceptible-infected-susceptible":[16],"(SIS)":[17],"epidemic":[18,28,55,66],"model":[19,29],"this":[21],"paper.":[22],"Periodic":[23],"solutions":[24],"of":[25,43,54,101,108,118],"the":[26,52,80,96,105,115],"SIS":[27],"with":[30],"fixed-time":[31],"birth":[32],"pulses":[33],"feedback":[36],"treatments":[38],"by":[41,95],"means":[42],"both":[44],"theoretical":[45],"numerical":[47],"ways.":[48],"The":[49],"conditions":[50],"for":[51,85],"existence":[53],"period-(1,":[56],"1),":[57,59],"period-(2,":[58],"period-(3,":[61],"2)":[62],"solution":[63],"investigated.Keywords:":[65],"modelbirth":[67],"pulsepulse":[68],"treatmentperiodic":[69],"solution2010":[70],"AMS":[71],"Subject":[72],"Classifications:":[73],"34C2334C2592B05":[74],"AcknowledgementsWe":[75],"would":[76],"like":[77],"to":[78],"thank":[79],"anonymous":[81],"referees":[82],"very":[83],"much":[84],"their":[86],"valuable":[87],"comments":[88],"suggestions.":[90],"This":[91],"work":[92],"was":[93],"supported":[94],"National":[97],"Natural":[98],"Science":[99,106],"Foundation":[100,107],"China":[102,111],"(Nos.":[103],"11162004),":[104],"Guangxi":[109,119],"Province,":[110],"(No.":[112,122],"2012GXNSFAA053006),":[113],"Innovation":[116],"Project":[117],"Graduate":[120],"Education":[121],"YCSZ2012072)":[123]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2062926861","counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2024-12-24T14:52:18.455317","created_date":"2016-06-24"}