{"id":"https://openalex.org/W4366759498","doi":"https://doi.org/10.30598/barekengvol17iss1pp0341-0360","title":"DYNAMIC ANALYSIS OF THE MATHEMATICAL MODEL FOR THE CHOLERA DISEASE SPREAD INVOLVING MEDICATION AND ENVIROMENTAL SANITATION","display_name":"DYNAMIC ANALYSIS OF THE MATHEMATICAL MODEL FOR THE CHOLERA DISEASE SPREAD INVOLVING MEDICATION AND ENVIROMENTAL SANITATION","publication_year":2023,"publication_date":"2023-04-16","ids":{"openalex":"https://openalex.org/W4366759498","doi":"https://doi.org/10.30598/barekengvol17iss1pp0341-0360"},"language":"en","primary_location":{"id":"doi:10.30598/barekengvol17iss1pp0341-0360","doi":"https://doi.org/10.30598/barekengvol17iss1pp0341-0360","is_oa":true,"landing_page_url":"https://doi.org/10.30598/barekengvol17iss1pp0341-0360","pdf_url":"https://ojs3.unpatti.ac.id/index.php/barekeng/article/download/7103/5541","source":{"id":"https://openalex.org/S4210230638","display_name":"BAREKENG JURNAL ILMU MATEMATIKA DAN TERAPAN","issn_l":"1978-7227","issn":["1978-7227","2615-3017"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj","jufo-1"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"BAREKENG: Jurnal Ilmu Matematika dan Terapan","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://ojs3.unpatti.ac.id/index.php/barekeng/article/download/7103/5541","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5021888848","display_name":"Resmawan Resmawan","orcid":"https://orcid.org/0000-0001-7921-2804","observed_orcids":["https://orcid.org/0000-0001-7921-2804"]},"institutions":[{"id":"https://openalex.org/I4210153860","display_name":"State University of Gorontalo","ror":"https://ror.org/05417j740","country_code":"ID","type":"education","lineage":["https://openalex.org/I4210153860"]}],"countries":["ID"],"is_corresponding":false,"raw_author_name":"R Resmawan","raw_affiliation_strings":["Mathematics Department, Faculty of Mathematics and Natural Sciences, Universitas Negeri Gorontalo"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Department, Faculty of Mathematics and Natural Sciences, Universitas Negeri Gorontalo","institution_ids":["https://openalex.org/I4210153860"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033833545","display_name":"Lailany Yahya","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210153860","display_name":"State University of Gorontalo","ror":"https://ror.org/05417j740","country_code":"ID","type":"education","lineage":["https://openalex.org/I4210153860"]}],"countries":["ID"],"is_corresponding":false,"raw_author_name":"Lailany Yahya","raw_affiliation_strings":["Mathematics Department, Faculty of Mathematics and Natural Sciences, Universitas Negeri Gorontalo"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Department, Faculty of Mathematics and Natural Sciences, Universitas Negeri Gorontalo","institution_ids":["https://openalex.org/I4210153860"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000330069","display_name":"Sri Lestari Mahmud","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210153860","display_name":"State University of Gorontalo","ror":"https://ror.org/05417j740","country_code":"ID","type":"education","lineage":["https://openalex.org/I4210153860"]}],"countries":["ID"],"is_corresponding":false,"raw_author_name":"Sri Lestari Mahmud","raw_affiliation_strings":["Mathematics Department, Faculty of Mathematics and Natural Sciences, Universitas Negeri Gorontalo"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Department, Faculty of Mathematics and Natural Sciences, Universitas Negeri Gorontalo","institution_ids":["https://openalex.org/I4210153860"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007517501","display_name":"Agusyarif Rezka Nuha","orcid":"https://orcid.org/0009-0005-8412-766X","observed_orcids":["https://orcid.org/0009-0005-8412-766X"]},"institutions":[{"id":"https://openalex.org/I4210153860","display_name":"State University of Gorontalo","ror":"https://ror.org/05417j740","country_code":"ID","type":"education","lineage":["https://openalex.org/I4210153860"]}],"countries":["ID"],"is_corresponding":false,"raw_author_name":"Agusyarif Rezka Nuha","raw_affiliation_strings":["Mathematics Department, Faculty of Mathematics and Natural Sciences, Universitas Negeri Gorontalo"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Department, Faculty of Mathematics and Natural Sciences, Universitas Negeri Gorontalo","institution_ids":["https://openalex.org/I4210153860"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012340161","display_name":"Nazrilla Hasan Laita","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210153860","display_name":"State University of Gorontalo","ror":"https://ror.org/05417j740","country_code":"ID","type":"education","lineage":["https://openalex.org/I4210153860"]}],"countries":["ID"],"is_corresponding":false,"raw_author_name":"Nazrilla Hasan Laita","raw_affiliation_strings":["Mathematics Department, Faculty of Mathematics and Natural Sciences, Universitas Negeri Gorontalo"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Department, Faculty of Mathematics and Natural Sciences, Universitas Negeri Gorontalo","institution_ids":["https://openalex.org/I4210153860"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4210153860"],"apc_list":null,"apc_paid":null,"fwci":0.643,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.54557043,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"17","issue":"1","first_page":"0341","last_page":"0360"},"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":1.0,"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":1.0,"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/T10410","display_name":"COVID-19 epidemiological studies","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"}},{"id":"https://openalex.org/T11560","display_name":"Animal Disease Management and Epidemiology","score":0.0,"subfield":{"id":"https://openalex.org/subfields/1103","display_name":"Animal Science and Zoology"},"field":{"id":"https://openalex.org/fields/11","display_name":"Agricultural and Biological Sciences"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/cholera-transmission","display_name":"cholera transmission","score":0.8119999766349792},{"id":"https://openalex.org/keywords/environmental-sanitation","display_name":"environmental sanitation","score":0.8230000138282776},{"id":"https://openalex.org/keywords/cholera-vaccine","display_name":"cholera vaccine","score":0.7039999961853027},{"id":"https://openalex.org/keywords/basic-reproduction-number","display_name":"basic reproduction number","score":0.871999979019165},{"id":"https://openalex.org/keywords/disease-free-equilibrium","display_name":"disease-free equilibrium","score":0.9350000023841858},{"id":"https://openalex.org/keywords/endemic-equilibrium","display_name":"endemic equilibrium","score":0.9919999837875366},{"id":"https://openalex.org/keywords/local-asymptotic-stability","display_name":"local asymptotic stability","score":0.7760000228881836},{"id":"https://openalex.org/keywords/sensitivity-analysis","display_name":"sensitivity analysis","score":0.6949999928474426},{"id":"https://openalex.org/keywords/environmental-pollution","display_name":"environmental pollution","score":0.5680000185966492},{"id":"https://openalex.org/keywords/waterborne-bacteria","display_name":"waterborne bacteria","score":0.5260000228881836}],"concepts":[{"id":"https://openalex.org/C94766913","wikidata":"https://www.wikidata.org/wiki/Q1530271","display_name":"Equilibrium point","level":3,"score":0.7582828998565674},{"id":"https://openalex.org/C2780151969","wikidata":"https://www.wikidata.org/wiki/Q949149","display_name":"Sanitation","level":2,"score":0.7566114068031311},{"id":"https://openalex.org/C204264503","wikidata":"https://www.wikidata.org/wiki/Q901464","display_name":"Basic reproduction number","level":3,"score":0.6989859938621521},{"id":"https://openalex.org/C2780722889","wikidata":"https://www.wikidata.org/wiki/Q12090","display_name":"Cholera","level":2,"score":0.5528395771980286},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5212891101837158},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.46898871660232544},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.45094090700149536},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.44873788952827454},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44343024492263794},{"id":"https://openalex.org/C2992243407","wikidata":"https://www.wikidata.org/wiki/Q525512","display_name":"Disease transmission","level":2,"score":0.42095404863357544},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.38404685258865356},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3808765709400177},{"id":"https://openalex.org/C39432304","wikidata":"https://www.wikidata.org/wiki/Q188847","display_name":"Environmental science","level":0,"score":0.380001038312912},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.3695281445980072},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.3566206097602844},{"id":"https://openalex.org/C87717796","wikidata":"https://www.wikidata.org/wiki/Q146326","display_name":"Environmental engineering","level":1,"score":0.2266881763935089},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21556997299194336},{"id":"https://openalex.org/C99454951","wikidata":"https://www.wikidata.org/wiki/Q932068","display_name":"Environmental health","level":1,"score":0.1833919882774353},{"id":"https://openalex.org/C89423630","wikidata":"https://www.wikidata.org/wiki/Q7193","display_name":"Microbiology","level":1,"score":0.1823699176311493},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.15871340036392212},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.14531591534614563},{"id":"https://openalex.org/C159047783","wikidata":"https://www.wikidata.org/wiki/Q7215","display_name":"Virology","level":1,"score":0.14345383644104004},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11865818500518799},{"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/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.30598/barekengvol17iss1pp0341-0360","doi":"https://doi.org/10.30598/barekengvol17iss1pp0341-0360","is_oa":true,"landing_page_url":"https://doi.org/10.30598/barekengvol17iss1pp0341-0360","pdf_url":"https://ojs3.unpatti.ac.id/index.php/barekeng/article/download/7103/5541","source":{"id":"https://openalex.org/S4210230638","display_name":"BAREKENG JURNAL ILMU MATEMATIKA DAN TERAPAN","issn_l":"1978-7227","issn":["1978-7227","2615-3017"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj","jufo-1"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"BAREKENG: Jurnal Ilmu Matematika dan Terapan","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:ee44567d73c44d6fa4b327181af4ed97","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/ee44567d73c44d6fa4b327181af4ed97","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,"listed_in":[],"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":"Barekeng, Vol 17, Iss 1, Pp 0341-0360 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.30598/barekengvol17iss1pp0341-0360","doi":"https://doi.org/10.30598/barekengvol17iss1pp0341-0360","is_oa":true,"landing_page_url":"https://doi.org/10.30598/barekengvol17iss1pp0341-0360","pdf_url":"https://ojs3.unpatti.ac.id/index.php/barekeng/article/download/7103/5541","source":{"id":"https://openalex.org/S4210230638","display_name":"BAREKENG JURNAL ILMU MATEMATIKA DAN TERAPAN","issn_l":"1978-7227","issn":["1978-7227","2615-3017"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj","jufo-1"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"BAREKENG: Jurnal Ilmu Matematika dan Terapan","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Good health and well-being","id":"https://metadata.un.org/sdg/3","score":0.8560000061988831},{"display_name":"Clean water and sanitation","id":"https://metadata.un.org/sdg/6","score":0.6618000268936157}],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4366759498.pdf","grobid_xml":"https://content.openalex.org/works/W4366759498.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W2004189838","https://openalex.org/W2085451305","https://openalex.org/W2102798763","https://openalex.org/W2112680994","https://openalex.org/W2561862459","https://openalex.org/W2775717128","https://openalex.org/W2883694181","https://openalex.org/W2891517594","https://openalex.org/W2952559638","https://openalex.org/W3020844649","https://openalex.org/W3106897000","https://openalex.org/W3111402401","https://openalex.org/W4200308445","https://openalex.org/W4214652678","https://openalex.org/W4220921302","https://openalex.org/W4280651639","https://openalex.org/W4290052376","https://openalex.org/W4312849638"],"related_works":["https://openalex.org/W4313033360","https://openalex.org/W4280651639","https://openalex.org/W2085414939","https://openalex.org/W2888411565","https://openalex.org/W4409623720","https://openalex.org/W2593575977","https://openalex.org/W4392164051","https://openalex.org/W4362549667","https://openalex.org/W2907520962","https://openalex.org/W3215225744"],"abstract_inverted_index":{"This":[0],"study":[1],"aims":[2],"to":[3,35,124,154,159,173],"analyze":[4,36],"the":[5,9,23,27,37,46,49,59,67,74,82,93,97,109,116,122,127,138,161,167,175],"mathematical":[6],"model":[7,18,68],"of":[8,45,48,119,130,163,169,177],"cholera":[10,164,178],"disease":[11],"spread":[12],"involving":[13],"medicationnd":[14],"environmental":[15,143],"sanitation.":[16],"The":[17,31,64],"was":[19,34],"analyzed":[20],"by":[21,142,146],"determining":[22],"equilibrium":[24,38,53,71,84],"point":[25,76,85],"and":[26,41,51,58,61,81],"basic":[28,102],"reproduction":[29],"number.":[30],"next":[32],"step":[33],"point,":[39],"sensitivity,":[40],"simulate":[42],"numerically.":[43],"Analysis":[44,65],"stability":[47,80,89],"disease-free":[50],"endemic":[52,83],"points":[54],"usedhe":[55],"Routh-Hurwitz":[56],"criteria":[57],"Castillo-Chaves":[60],"Song":[62],"Theorem.":[63],"resultf":[66],"produced":[69],"two":[70],"points;":[72],"namely":[73],"disease-freequilibrium":[75],"for":[77,86,101,111],"local":[78,87],"asymptotic":[79,88],"if":[90],".":[91,148],"Furthermore,":[92],"sensitivity":[94],"analysis":[95],"indicated":[96],"most":[98],"sensitive":[99],"parameters":[100,110],"reproductive":[103],"number":[104],"changes":[105],"in":[106,132,137],"succession":[107],"are":[108],"natural":[112],"birth":[113],"rates":[114],",":[115,126,134],"transmission":[117,162,176],"rate":[118,145],"bacteria":[120,131],"from":[121],"environment":[123],"humans":[125,147],"saturated":[128],"concentration":[129],"water":[133],"an":[135,152],"increase":[136,153],"bacterial":[139],"population":[140],"caused":[141],"pollution":[144],"Numerical":[149],"simulations":[150],"suggest":[151],"give":[155],"vaccine":[156,171],"can":[157],"contribute":[158],"slowing":[160],"where":[165],"as":[166],"reduction":[168],"a":[170],"able":[172],"promote":[174],"diseases.":[179]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2023-04-24T00:00:00"}