{"id":"https://openalex.org/W4396776136","doi":"https://doi.org/10.3389/fams.2024.1374721","title":"Understanding COVID-19 propagation: a comprehensive mathematical model with Caputo fractional derivatives for Thailand","display_name":"Understanding COVID-19 propagation: a comprehensive mathematical model with Caputo fractional derivatives for Thailand","publication_year":2024,"publication_date":"2024-05-09","ids":{"openalex":"https://openalex.org/W4396776136","doi":"https://doi.org/10.3389/fams.2024.1374721"},"language":"en","primary_location":{"id":"doi:10.3389/fams.2024.1374721","is_oa":true,"landing_page_url":"https://doi.org/10.3389/fams.2024.1374721","pdf_url":"https://www.frontiersin.org/articles/10.3389/fams.2024.1374721/pdf?isPublishedV2=False","source":{"id":"https://openalex.org/S2597085352","display_name":"Frontiers in Applied Mathematics and Statistics","issn_l":"2297-4687","issn":["2297-4687"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320527","host_organization_name":"Frontiers Media","host_organization_lineage":["https://openalex.org/P4310320527"],"host_organization_lineage_names":["Frontiers Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Applied Mathematics and Statistics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.frontiersin.org/articles/10.3389/fams.2024.1374721/pdf?isPublishedV2=False","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5097111353","display_name":"E Shamil","orcid":null},"institutions":[{"id":"https://openalex.org/I177436651","display_name":"Mahatma Gandhi University","ror":"https://ror.org/00h4spn88","country_code":"IN","type":"education","lineage":["https://openalex.org/I177436651"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Shamil E","raw_affiliation_strings":["School of Mathematics and Statistics, Mahatma Gandhi University, Kottayam, India"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Mahatma Gandhi University, Kottayam, India","institution_ids":["https://openalex.org/I177436651"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003756884","display_name":"Sayooj Aby Jose","orcid":"https://orcid.org/0000-0003-4437-1623"},"institutions":[{"id":"https://openalex.org/I177436651","display_name":"Mahatma Gandhi University","ror":"https://ror.org/00h4spn88","country_code":"IN","type":"education","lineage":["https://openalex.org/I177436651"]},{"id":"https://openalex.org/I4210129057","display_name":"Phuket Rajabhat University","ror":"https://ror.org/03mh64g46","country_code":"TH","type":"education","lineage":["https://openalex.org/I4210129057"]}],"countries":["IN","TH"],"is_corresponding":true,"raw_author_name":"Sayooj Aby Jose","raw_affiliation_strings":["Department of Mathematics, Faculty of Education, Phuket Rajabhat University, Phuket, Thailand","School of Mathematics and Statistics, Mahatma Gandhi University, Kottayam, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Education, Phuket Rajabhat University, Phuket, Thailand","institution_ids":["https://openalex.org/I4210129057"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Mahatma Gandhi University, Kottayam, India","institution_ids":["https://openalex.org/I177436651"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090312613","display_name":"Hasan S. Panigoro","orcid":"https://orcid.org/0000-0002-0118-2745"},"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":"Hasan S. Panigoro","raw_affiliation_strings":["Biomathematics Research Group, Department of Mathematics, Universitas Negeri Gorontalo, Gorontalo, Indonesia"],"affiliations":[{"raw_affiliation_string":"Biomathematics Research Group, Department of Mathematics, Universitas Negeri Gorontalo, Gorontalo, Indonesia","institution_ids":["https://openalex.org/I4210153860"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040333482","display_name":"Anuwat Jirawattanapanit","orcid":"https://orcid.org/0000-0002-6319-0214"},"institutions":[{"id":"https://openalex.org/I4210129057","display_name":"Phuket Rajabhat University","ror":"https://ror.org/03mh64g46","country_code":"TH","type":"education","lineage":["https://openalex.org/I4210129057"]}],"countries":["TH"],"is_corresponding":false,"raw_author_name":"Anuwat Jirawattanapanit","raw_affiliation_strings":["Department of Mathematics, Faculty of Education, Phuket Rajabhat University, Phuket, Thailand"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Education, Phuket Rajabhat University, Phuket, Thailand","institution_ids":["https://openalex.org/I4210129057"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002555082","display_name":"Benjamin Idoko Omede","orcid":"https://orcid.org/0000-0002-2431-2573"},"institutions":[{"id":"https://openalex.org/I10627620","display_name":"Kogi State University","ror":"https://ror.org/00dvsyx28","country_code":"NG","type":"education","lineage":["https://openalex.org/I10627620"]}],"countries":["NG"],"is_corresponding":false,"raw_author_name":"Benjamin I. Omede","raw_affiliation_strings":["Department of Mathematical Sciences, Prince Abubakar Audu (Formerly Kogi State) University, Anyigba, Nigeria"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Prince Abubakar Audu (Formerly Kogi State) University, Anyigba, Nigeria","institution_ids":["https://openalex.org/I10627620"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088332422","display_name":"Zakaria Yaagoub","orcid":"https://orcid.org/0009-0009-0429-7079"},"institutions":[{"id":"https://openalex.org/I99297268","display_name":"University of Hassan II Casablanca","ror":"https://ror.org/001q4kn48","country_code":"MA","type":"education","lineage":["https://openalex.org/I99297268"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"Zakaria Yaagoub","raw_affiliation_strings":["Laboratory of Mathematics, Computer Science and Applications, Faculty of Sciences and Technologies, University Hassan II of Casablanca, Mohammedia, Morocco"],"affiliations":[{"raw_affiliation_string":"Laboratory of Mathematics, Computer Science and Applications, Faculty of Sciences and Technologies, University Hassan II of Casablanca, Mohammedia, Morocco","institution_ids":["https://openalex.org/I99297268"]}]}],"institutions":[],"countries_distinct_count":5,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5003756884"],"corresponding_institution_ids":["https://openalex.org/I177436651","https://openalex.org/I4210129057"],"apc_list":{"value":1150,"currency":"USD","value_usd":1150},"apc_paid":{"value":1150,"currency":"USD","value_usd":1150},"fwci":2.0617,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.85120893,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"10","issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9991999864578247,"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"}},"topics":[{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9991999864578247,"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":0.9925000071525574,"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/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9674999713897705,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/coronavirus-disease-2019","display_name":"Coronavirus disease 2019 (COVID-19)","score":0.7440055012702942},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.6274374723434448},{"id":"https://openalex.org/keywords/2019-20-coronavirus-outbreak","display_name":"2019-20 coronavirus outbreak","score":0.5316653251647949},{"id":"https://openalex.org/keywords/severe-acute-respiratory-syndrome-coronavirus-2","display_name":"Severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2)","score":0.48720115423202515},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41871732473373413},{"id":"https://openalex.org/keywords/virology","display_name":"Virology","score":0.3704320192337036},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3560042381286621},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3550456166267395},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.3110823631286621},{"id":"https://openalex.org/keywords/internal-medicine","display_name":"Internal medicine","score":0.13016483187675476},{"id":"https://openalex.org/keywords/outbreak","display_name":"Outbreak","score":0.08724293112754822},{"id":"https://openalex.org/keywords/infectious-disease","display_name":"Infectious disease (medical specialty)","score":0.06784141063690186}],"concepts":[{"id":"https://openalex.org/C3008058167","wikidata":"https://www.wikidata.org/wiki/Q84263196","display_name":"Coronavirus disease 2019 (COVID-19)","level":4,"score":0.7440055012702942},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.6274374723434448},{"id":"https://openalex.org/C3006700255","wikidata":"https://www.wikidata.org/wiki/Q81068910","display_name":"2019-20 coronavirus outbreak","level":3,"score":0.5316653251647949},{"id":"https://openalex.org/C3007834351","wikidata":"https://www.wikidata.org/wiki/Q82069695","display_name":"Severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2)","level":5,"score":0.48720115423202515},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41871732473373413},{"id":"https://openalex.org/C159047783","wikidata":"https://www.wikidata.org/wiki/Q7215","display_name":"Virology","level":1,"score":0.3704320192337036},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3560042381286621},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3550456166267395},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.3110823631286621},{"id":"https://openalex.org/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","level":1,"score":0.13016483187675476},{"id":"https://openalex.org/C116675565","wikidata":"https://www.wikidata.org/wiki/Q3241045","display_name":"Outbreak","level":2,"score":0.08724293112754822},{"id":"https://openalex.org/C524204448","wikidata":"https://www.wikidata.org/wiki/Q788926","display_name":"Infectious disease (medical specialty)","level":3,"score":0.06784141063690186},{"id":"https://openalex.org/C2779134260","wikidata":"https://www.wikidata.org/wiki/Q12136","display_name":"Disease","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3389/fams.2024.1374721","is_oa":true,"landing_page_url":"https://doi.org/10.3389/fams.2024.1374721","pdf_url":"https://www.frontiersin.org/articles/10.3389/fams.2024.1374721/pdf?isPublishedV2=False","source":{"id":"https://openalex.org/S2597085352","display_name":"Frontiers in Applied Mathematics and Statistics","issn_l":"2297-4687","issn":["2297-4687"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320527","host_organization_name":"Frontiers Media","host_organization_lineage":["https://openalex.org/P4310320527"],"host_organization_lineage_names":["Frontiers Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Applied Mathematics and Statistics","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:d147851d7cb54629991b343f2f91b7a7","is_oa":true,"landing_page_url":"https://doaj.org/article/d147851d7cb54629991b343f2f91b7a7","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Frontiers in Applied Mathematics and Statistics, Vol 10 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3389/fams.2024.1374721","is_oa":true,"landing_page_url":"https://doi.org/10.3389/fams.2024.1374721","pdf_url":"https://www.frontiersin.org/articles/10.3389/fams.2024.1374721/pdf?isPublishedV2=False","source":{"id":"https://openalex.org/S2597085352","display_name":"Frontiers in Applied Mathematics and Statistics","issn_l":"2297-4687","issn":["2297-4687"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320527","host_organization_name":"Frontiers Media","host_organization_lineage":["https://openalex.org/P4310320527"],"host_organization_lineage_names":["Frontiers Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Applied Mathematics and Statistics","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.800000011920929,"id":"https://metadata.un.org/sdg/3","display_name":"Good health and well-being"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4396776136.pdf"},"referenced_works_count":44,"referenced_works":["https://openalex.org/W2112680994","https://openalex.org/W2176827238","https://openalex.org/W2592872439","https://openalex.org/W2766432366","https://openalex.org/W2766505303","https://openalex.org/W2790210339","https://openalex.org/W2963641381","https://openalex.org/W2980598743","https://openalex.org/W3001585173","https://openalex.org/W3008874180","https://openalex.org/W3035895679","https://openalex.org/W3041460502","https://openalex.org/W3133933665","https://openalex.org/W3136624297","https://openalex.org/W3155593561","https://openalex.org/W3162033558","https://openalex.org/W3211063647","https://openalex.org/W4210604535","https://openalex.org/W4220701094","https://openalex.org/W4224268074","https://openalex.org/W4225166098","https://openalex.org/W4253062931","https://openalex.org/W4283025025","https://openalex.org/W4283331492","https://openalex.org/W4284702535","https://openalex.org/W4296336610","https://openalex.org/W4309198853","https://openalex.org/W4309490868","https://openalex.org/W4310257960","https://openalex.org/W4319316445","https://openalex.org/W4321767981","https://openalex.org/W4362584461","https://openalex.org/W4362601378","https://openalex.org/W4367309871","https://openalex.org/W4367310173","https://openalex.org/W4384928183","https://openalex.org/W4384933491","https://openalex.org/W4385428954","https://openalex.org/W4387933285","https://openalex.org/W4388041333","https://openalex.org/W4388535648","https://openalex.org/W6730176618","https://openalex.org/W6734439686","https://openalex.org/W6795782427"],"related_works":["https://openalex.org/W3036314732","https://openalex.org/W3009669391","https://openalex.org/W4382894326","https://openalex.org/W3171943759","https://openalex.org/W3176864053","https://openalex.org/W4206669628","https://openalex.org/W4292098121","https://openalex.org/W3154141118","https://openalex.org/W4388896133","https://openalex.org/W3031607536"],"abstract_inverted_index":{"This":[0,116],"research":[1,77],"introduces":[2],"a":[3,23,44,69,96,100],"sophisticated":[4],"mathematical":[5],"model":[6,21],"for":[7,95,135],"understanding":[8,124],"the":[9,29,41,50,56,64,76,80,122,129],"transmission":[10],"dynamics":[11],"of":[12,36,43,82,103,128],"COVID-19,":[13],"incorporating":[14],"both":[15],"integer":[16],"and":[17,32,89,106,125,140],"fractional":[18],"derivatives.":[19],"The":[20,34,92],"undergoes":[22],"rigorous":[24],"analysis,":[25],"examining":[26],"equilibrium":[27],"points,":[28],"reproduction":[30],"number,":[31],"feasibility.":[33],"application":[35],"fixed":[37],"point":[38],"theory":[39],"establishes":[40],"existence":[42],"unique":[45],"solution,":[46],"demonstrating":[47],"stability":[48],"in":[49],"model.":[51],"To":[52],"derive":[53],"approximate":[54],"solutions,":[55],"generalized":[57],"Adams-Bashforth-Moulton":[58],"method":[59],"is":[60],"employed,":[61],"further":[62],"enhancing":[63],"study's":[65],"analytical":[66],"depth.":[67],"Through":[68],"numerical":[70],"simulation":[71],"based":[72],"on":[73,113],"Thailand's":[74],"data,":[75],"delves":[78],"into":[79],"intricacies":[81],"COVID-19":[83,130],"transmission,":[84],"encompassing":[85],"thorough":[86],"data":[87],"analysis":[88],"parameter":[90],"estimation.":[91],"study":[93],"advocates":[94],"holistic":[97],"approach,":[98],"recommending":[99],"combined":[101],"strategy":[102],"precautionary":[104],"measures":[105],"home":[107],"remedies,":[108],"showcasing":[109],"their":[110],"substantial":[111],"impact":[112],"pandemic":[114],"mitigation.":[115],"comprehensive":[117],"investigation":[118],"significantly":[119],"contributes":[120],"to":[121],"broader":[123],"effective":[126],"management":[127],"crisis,":[131],"providing":[132],"valuable":[133],"insights":[134],"shaping":[136],"public":[137],"health":[138],"strategies":[139],"guiding":[141],"individual":[142],"actions.":[143]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
