{"id":"https://openalex.org/W2794605267","doi":"https://doi.org/10.2478/amcs-2018-0013","title":"Analyzing the MERS disease control strategy through an optimal control problem","display_name":"Analyzing the MERS disease control strategy through an optimal control problem","publication_year":2018,"publication_date":"2018-03-01","ids":{"openalex":"https://openalex.org/W2794605267","doi":"https://doi.org/10.2478/amcs-2018-0013","mag":"2794605267"},"language":"en","primary_location":{"id":"doi:10.2478/amcs-2018-0013","is_oa":true,"landing_page_url":"https://doi.org/10.2478/amcs-2018-0013","pdf_url":"https://content.sciendo.com/downloadpdf/journals/amcs/28/1/article-p169.pdf","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://content.sciendo.com/downloadpdf/journals/amcs/28/1/article-p169.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037222156","display_name":"Dipo Aldila","orcid":"https://orcid.org/0000-0001-9022-1701"},"institutions":[{"id":"https://openalex.org/I29617571","display_name":"University of Indonesia","ror":"https://ror.org/0116zj450","country_code":"ID","type":"education","lineage":["https://openalex.org/I29617571"]}],"countries":["ID"],"is_corresponding":true,"raw_author_name":"Dipo Aldila","raw_affiliation_strings":["Department of Mathematics University of Indonesia (UI), Kampus UI Depok, Depok 16424, Indonesia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics University of Indonesia (UI), Kampus UI Depok, Depok 16424, Indonesia","institution_ids":["https://openalex.org/I29617571"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032794413","display_name":"Herningtyas Padma","orcid":null},"institutions":[{"id":"https://openalex.org/I29617571","display_name":"University of Indonesia","ror":"https://ror.org/0116zj450","country_code":"ID","type":"education","lineage":["https://openalex.org/I29617571"]}],"countries":["ID"],"is_corresponding":false,"raw_author_name":"Herningtyas Padma","raw_affiliation_strings":["Department of Mathematics University of Indonesia (UI), Kampus UI Depok, Depok 16424, Indonesia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics University of Indonesia (UI), Kampus UI Depok, Depok 16424, Indonesia","institution_ids":["https://openalex.org/I29617571"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027879745","display_name":"Khusnul Khotimah","orcid":"https://orcid.org/0000-0002-5908-4603"},"institutions":[{"id":"https://openalex.org/I29617571","display_name":"University of Indonesia","ror":"https://ror.org/0116zj450","country_code":"ID","type":"education","lineage":["https://openalex.org/I29617571"]}],"countries":["ID"],"is_corresponding":false,"raw_author_name":"Khusnul Khotimah","raw_affiliation_strings":["Department of Mathematics University of Indonesia (UI), Kampus UI Depok, Depok 16424, Indonesia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics University of Indonesia (UI), Kampus UI Depok, Depok 16424, Indonesia","institution_ids":["https://openalex.org/I29617571"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050454908","display_name":"Bevina Desjwiandra","orcid":null},"institutions":[{"id":"https://openalex.org/I29617571","display_name":"University of Indonesia","ror":"https://ror.org/0116zj450","country_code":"ID","type":"education","lineage":["https://openalex.org/I29617571"]}],"countries":["ID"],"is_corresponding":false,"raw_author_name":"Bevina Desjwiandra","raw_affiliation_strings":["Department of Mathematics University of Indonesia (UI), Kampus UI Depok, Depok 16424, Indonesia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics University of Indonesia (UI), Kampus UI Depok, Depok 16424, Indonesia","institution_ids":["https://openalex.org/I29617571"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074890409","display_name":"Hengki Tasman","orcid":"https://orcid.org/0000-0001-6615-3884"},"institutions":[{"id":"https://openalex.org/I29617571","display_name":"University of Indonesia","ror":"https://ror.org/0116zj450","country_code":"ID","type":"education","lineage":["https://openalex.org/I29617571"]}],"countries":["ID"],"is_corresponding":false,"raw_author_name":"Hengki Tasman","raw_affiliation_strings":["Department of Mathematics University of Indonesia (UI), Kampus UI Depok, Depok 16424, Indonesia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics University of Indonesia (UI), Kampus UI Depok, Depok 16424, Indonesia","institution_ids":["https://openalex.org/I29617571"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5037222156"],"corresponding_institution_ids":["https://openalex.org/I29617571"],"apc_list":{"value":4080,"currency":"PLN","value_usd":1100},"apc_paid":{"value":4080,"currency":"PLN","value_usd":1100},"fwci":5.7924,"has_fulltext":true,"cited_by_count":37,"citation_normalized_percentile":{"value":0.96105683,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"28","issue":"1","first_page":"169","last_page":"184"},"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":0.9984999895095825,"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":0.9984999895095825,"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":0.9983999729156494,"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/T11764","display_name":"Evolution and Genetic Dynamics","score":0.9866999983787537,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/intervention","display_name":"Intervention (counseling)","score":0.6554955840110779},{"id":"https://openalex.org/keywords/basic-reproduction-number","display_name":"Basic reproduction number","score":0.6068049669265747},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.5571407079696655},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.5452192425727844},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.48340263962745667},{"id":"https://openalex.org/keywords/reproduction","display_name":"Reproduction","score":0.43825381994247437},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.43797749280929565},{"id":"https://openalex.org/keywords/government","display_name":"Government (linguistics)","score":0.41070619225502014},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.393007755279541},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3280836045742035},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.30464258790016174},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.2871829867362976},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.15725156664848328},{"id":"https://openalex.org/keywords/ecology","display_name":"Ecology","score":0.15344423055648804},{"id":"https://openalex.org/keywords/environmental-health","display_name":"Environmental health","score":0.14914298057556152},{"id":"https://openalex.org/keywords/nursing","display_name":"Nursing","score":0.13288387656211853},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10679906606674194}],"concepts":[{"id":"https://openalex.org/C2780665704","wikidata":"https://www.wikidata.org/wiki/Q959298","display_name":"Intervention (counseling)","level":2,"score":0.6554955840110779},{"id":"https://openalex.org/C204264503","wikidata":"https://www.wikidata.org/wiki/Q901464","display_name":"Basic reproduction number","level":3,"score":0.6068049669265747},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.5571407079696655},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.5452192425727844},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.48340263962745667},{"id":"https://openalex.org/C59659247","wikidata":"https://www.wikidata.org/wiki/Q11990","display_name":"Reproduction","level":2,"score":0.43825381994247437},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.43797749280929565},{"id":"https://openalex.org/C2778137410","wikidata":"https://www.wikidata.org/wiki/Q2732820","display_name":"Government (linguistics)","level":2,"score":0.41070619225502014},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.393007755279541},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3280836045742035},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30464258790016174},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.2871829867362976},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.15725156664848328},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.15344423055648804},{"id":"https://openalex.org/C99454951","wikidata":"https://www.wikidata.org/wiki/Q932068","display_name":"Environmental health","level":1,"score":0.14914298057556152},{"id":"https://openalex.org/C159110408","wikidata":"https://www.wikidata.org/wiki/Q121176","display_name":"Nursing","level":1,"score":0.13288387656211853},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10679906606674194},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2478/amcs-2018-0013","is_oa":true,"landing_page_url":"https://doi.org/10.2478/amcs-2018-0013","pdf_url":"https://content.sciendo.com/downloadpdf/journals/amcs/28/1/article-p169.pdf","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:5d023261686e48cd99e5a50ca089c1ce","is_oa":true,"landing_page_url":"https://doaj.org/article/5d023261686e48cd99e5a50ca089c1ce","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Applied Mathematics and Computer Science, Vol 28, Iss 1, Pp 169-184 (2018)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.2478/amcs-2018-0013","is_oa":true,"landing_page_url":"https://doi.org/10.2478/amcs-2018-0013","pdf_url":"https://content.sciendo.com/downloadpdf/journals/amcs/28/1/article-p169.pdf","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.550000011920929,"id":"https://metadata.un.org/sdg/3","display_name":"Good health and well-being"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320335079","display_name":"Direktorat Jenderal Pendidikan Tinggi","ror":"https://ror.org/03sxt1c89"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2794605267.pdf","grobid_xml":"https://content.openalex.org/works/W2794605267.grobid-xml"},"referenced_works_count":30,"referenced_works":["https://openalex.org/W1960786865","https://openalex.org/W1967939911","https://openalex.org/W1968393246","https://openalex.org/W1984326550","https://openalex.org/W2008070155","https://openalex.org/W2041572706","https://openalex.org/W2042655189","https://openalex.org/W2047740442","https://openalex.org/W2083969438","https://openalex.org/W2090919365","https://openalex.org/W2094575269","https://openalex.org/W2099941783","https://openalex.org/W2104595316","https://openalex.org/W2107053896","https://openalex.org/W2111584010","https://openalex.org/W2113797309","https://openalex.org/W2114485289","https://openalex.org/W2119294441","https://openalex.org/W2145441153","https://openalex.org/W2160011624","https://openalex.org/W2166867592","https://openalex.org/W2265868540","https://openalex.org/W2311973949","https://openalex.org/W2329377755","https://openalex.org/W2463809853","https://openalex.org/W2515792320","https://openalex.org/W2565805236","https://openalex.org/W2607083325","https://openalex.org/W2735202463","https://openalex.org/W2963798344"],"related_works":["https://openalex.org/W2366002891","https://openalex.org/W4295814686","https://openalex.org/W2370645916","https://openalex.org/W4380902525","https://openalex.org/W2320270721","https://openalex.org/W2377444885","https://openalex.org/W4232445865","https://openalex.org/W2621933242","https://openalex.org/W2001283893","https://openalex.org/W2002276778"],"abstract_inverted_index":{"Abstract":[0],"A":[1,100],"deterministic":[2],"mathematical":[3],"model":[4,35],"of":[5,27,53,91,103,128,160,170,179,208,238],"the":[6,25,34,51,58,96,104,116,123,126,137,165,192,197,206,209,213,218,221,235,242,246],"Middle":[7],"East":[8],"respiratory":[9],"syndrome":[10],"(MERS)":[11],"disease":[12,75,211],"is":[13,42,187],"introduced.":[14],"Medical":[15],"masks,":[16],"supportive":[17,142,202,231],"care":[18,143,203,232],"treatment":[19],"and":[20,56,79,87,122,176],"a":[21,74,158,168,177],"government":[22],"campaign":[23,124],"about":[24,125],"importance":[26,127],"medical":[28,119,129,193,222],"masks":[29,130],"will":[30],"be":[31,226],"involved":[32],"in":[33,196,212,245],"as":[36,44,61,63],"time":[37],"dependent":[38],"variables.":[39],"The":[40,85],"problem":[41],"formulated":[43],"an":[45,80],"optimal":[46,148],"control":[47,68,111,149,205],"one":[48],"to":[49,110,190,204,233],"minimize":[50],"number":[52,107,140,237],"infected":[54,239],"people":[55],"keep":[57],"intervention":[59,117,195,224],"costs":[60],"low":[62],"possible.":[64],"Assuming":[65],"that":[66,115],"all":[67],"variables":[69],"are":[70,131,151],"constant,":[71],"we":[72],"find":[73],"free":[76],"equilibrium":[77,82],"point":[78,83],"endemic":[81,214,247],"explicitly.":[84],"existence":[86],"local":[88],"stability":[89],"criteria":[90],"these":[92],"equilibria":[93],"depend":[94],"on":[95,118],"basic":[97,105,138,173],"reproduction":[98,106,139,174],"number.":[99],"sensitivity":[101],"analysis":[102],"with":[108,230,241],"respect":[109],"parameters":[112],"tells":[113],"us":[114],"mask":[120,194,223],"use":[121],"much":[132,188],"more":[133],"effective":[134],"for":[135,147,153,164],"reducing":[136],"than":[141,200],"intervention.":[144],"Numerical":[145],"experiments":[146],"problems":[150],"presented":[152],"three":[154],"different":[155,161,171,180],"scenarios,":[156],"i.e.,":[157],"scenario":[159,169,178],"initial":[162,172],"conditions":[163],"human":[166],"population,":[167],"numbers":[175],"budget":[181,184],"limitations.":[182],"Under":[183],"limitations,":[185],"it":[186],"better":[189],"implement":[191],"field,":[198],"rather":[199],"give":[201],"spread":[207],"MERS":[210],"prevention":[215],"scenario.":[216,249],"On":[217],"other":[219],"hand,":[220],"should":[225],"implemented":[227],"partially":[228],"together":[229],"obtain":[234],"lowest":[236,243],"people,":[240],"cost":[244],"reduction":[248]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":12},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2018-04-06T00:00:00"}
