{"id":"https://openalex.org/W4401305388","doi":"https://doi.org/10.1142/s1793005726500134","title":"A Stochastic SIR Epidemic with Nonlinear Power Functions and Logistic Growth","display_name":"A Stochastic SIR Epidemic with Nonlinear Power Functions and Logistic Growth","publication_year":2024,"publication_date":"2024-08-03","ids":{"openalex":"https://openalex.org/W4401305388","doi":"https://doi.org/10.1142/s1793005726500134"},"language":"en","primary_location":{"id":"doi:10.1142/s1793005726500134","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793005726500134","pdf_url":null,"source":{"id":"https://openalex.org/S135331755","display_name":"New Mathematics and Natural Computation","issn_l":"1793-0057","issn":["1793-0057","1793-7027"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"New Mathematics and Natural Computation","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/A5092863391","display_name":"Soulaimane Aznague","orcid":"https://orcid.org/0009-0005-7778-3765"},"institutions":[{"id":"https://openalex.org/I240042149","display_name":"Abdelmalek Essa\u00e2di University","ror":"https://ror.org/03c4shz64","country_code":"MA","type":"education","lineage":["https://openalex.org/I240042149"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"Soulaimane Aznague","raw_affiliation_strings":["Laboratory of Mathematics and Applications, FSTT, Abdelmalek Essaadi University, Tetouan, Morocco"],"raw_orcid":"https://orcid.org/0009-0005-7778-3765","affiliations":[{"raw_affiliation_string":"Laboratory of Mathematics and Applications, FSTT, Abdelmalek Essaadi University, Tetouan, Morocco","institution_ids":["https://openalex.org/I240042149"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055120119","display_name":"Bilal Harchaoui","orcid":"https://orcid.org/0000-0003-3564-0182"},"institutions":[{"id":"https://openalex.org/I240042149","display_name":"Abdelmalek Essa\u00e2di University","ror":"https://ror.org/03c4shz64","country_code":"MA","type":"education","lineage":["https://openalex.org/I240042149"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"Bilal Harchaoui","raw_affiliation_strings":["Laboratory of Mathematics and Applications, FSTT, Abdelmalek Essaadi University, Tetouan, Morocco"],"raw_orcid":"https://orcid.org/0000-0003-3564-0182","affiliations":[{"raw_affiliation_string":"Laboratory of Mathematics and Applications, FSTT, Abdelmalek Essaadi University, Tetouan, Morocco","institution_ids":["https://openalex.org/I240042149"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033420402","display_name":"Abdeladim Nait Brahim","orcid":"https://orcid.org/0000-0001-8453-7339"},"institutions":[{"id":"https://openalex.org/I240042149","display_name":"Abdelmalek Essa\u00e2di University","ror":"https://ror.org/03c4shz64","country_code":"MA","type":"education","lineage":["https://openalex.org/I240042149"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"Abdeladim Nait Brahim","raw_affiliation_strings":["Laboratory of Mathematics and Applications, FSTT, Abdelmalek Essaadi University, Tetouan, Morocco"],"raw_orcid":"https://orcid.org/0000-0001-8453-7339","affiliations":[{"raw_affiliation_string":"Laboratory of Mathematics and Applications, FSTT, Abdelmalek Essaadi University, Tetouan, Morocco","institution_ids":["https://openalex.org/I240042149"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047720699","display_name":"Adel Settati","orcid":"https://orcid.org/0000-0001-8398-9421"},"institutions":[{"id":"https://openalex.org/I240042149","display_name":"Abdelmalek Essa\u00e2di University","ror":"https://ror.org/03c4shz64","country_code":"MA","type":"education","lineage":["https://openalex.org/I240042149"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"Adel Settati","raw_affiliation_strings":["Laboratory of Mathematics and Applications, FSTT, Abdelmalek Essaadi University, Tetouan, Morocco"],"raw_orcid":"https://orcid.org/0000-0001-8398-9421","affiliations":[{"raw_affiliation_string":"Laboratory of Mathematics and Applications, FSTT, Abdelmalek Essaadi University, Tetouan, Morocco","institution_ids":["https://openalex.org/I240042149"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037262796","display_name":"Aadil Lahrouz","orcid":"https://orcid.org/0000-0002-6050-6586"},"institutions":[{"id":"https://openalex.org/I240042149","display_name":"Abdelmalek Essa\u00e2di University","ror":"https://ror.org/03c4shz64","country_code":"MA","type":"education","lineage":["https://openalex.org/I240042149"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"Aadil Lahrouz","raw_affiliation_strings":["Laboratory of Mathematics and Applications, FSTT, Abdelmalek Essaadi University, Tetouan, Morocco"],"raw_orcid":"https://orcid.org/0000-0002-6050-6586","affiliations":[{"raw_affiliation_string":"Laboratory of Mathematics and Applications, FSTT, Abdelmalek Essaadi University, Tetouan, Morocco","institution_ids":["https://openalex.org/I240042149"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007356849","display_name":"Tarik Amtout","orcid":"https://orcid.org/0000-0003-1788-8221"},"institutions":[{"id":"https://openalex.org/I240042149","display_name":"Abdelmalek Essa\u00e2di University","ror":"https://ror.org/03c4shz64","country_code":"MA","type":"education","lineage":["https://openalex.org/I240042149"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"Tarik Amtout","raw_affiliation_strings":["Laboratory of Mathematics and Applications, FSTT, Abdelmalek Essaadi University, Tetouan, Morocco"],"raw_orcid":"https://orcid.org/0000-0003-1788-8221","affiliations":[{"raw_affiliation_string":"Laboratory of Mathematics and Applications, FSTT, Abdelmalek Essaadi University, Tetouan, Morocco","institution_ids":["https://openalex.org/I240042149"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051520381","display_name":"Mourad El Idrissi","orcid":"https://orcid.org/0000-0002-2449-2121"},"institutions":[{"id":"https://openalex.org/I240042149","display_name":"Abdelmalek Essa\u00e2di University","ror":"https://ror.org/03c4shz64","country_code":"MA","type":"education","lineage":["https://openalex.org/I240042149"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"Mourad El Idrissi","raw_affiliation_strings":["Laboratory of Mathematics and Applications, FSTT, Abdelmalek Essaadi University, Tetouan, Morocco"],"raw_orcid":"https://orcid.org/0000-0002-2449-2121","affiliations":[{"raw_affiliation_string":"Laboratory of Mathematics and Applications, FSTT, Abdelmalek Essaadi University, Tetouan, Morocco","institution_ids":["https://openalex.org/I240042149"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I240042149"],"apc_list":null,"apc_paid":null,"fwci":0.3277,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.54010454,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"20"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10410","display_name":"COVID-19 epidemiological studies","score":0.5582000017166138,"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/T10410","display_name":"COVID-19 epidemiological studies","score":0.5582000017166138,"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/T11243","display_name":"Respiratory viral infections research","score":0.5066999793052673,"subfield":{"id":"https://openalex.org/subfields/2713","display_name":"Epidemiology"},"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/T12849","display_name":"Parvovirus B19 Infection Studies","score":0.5005000233650208,"subfield":{"id":"https://openalex.org/subfields/2725","display_name":"Infectious Diseases"},"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/logistic-function","display_name":"Logistic function","score":0.5994574427604675},{"id":"https://openalex.org/keywords/logistic-regression","display_name":"Logistic regression","score":0.5400546193122864},{"id":"https://openalex.org/keywords/epidemic-model","display_name":"Epidemic model","score":0.4575779139995575},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.4203316569328308},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3914322853088379},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37063151597976685},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.3264209032058716},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.29195988178253174},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.19605183601379395},{"id":"https://openalex.org/keywords/environmental-health","display_name":"Environmental health","score":0.07250741124153137}],"concepts":[{"id":"https://openalex.org/C180802074","wikidata":"https://www.wikidata.org/wiki/Q1052379","display_name":"Logistic function","level":2,"score":0.5994574427604675},{"id":"https://openalex.org/C151956035","wikidata":"https://www.wikidata.org/wiki/Q1132755","display_name":"Logistic regression","level":2,"score":0.5400546193122864},{"id":"https://openalex.org/C1627819","wikidata":"https://www.wikidata.org/wiki/Q2572354","display_name":"Epidemic model","level":3,"score":0.4575779139995575},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.4203316569328308},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3914322853088379},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37063151597976685},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.3264209032058716},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.29195988178253174},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.19605183601379395},{"id":"https://openalex.org/C99454951","wikidata":"https://www.wikidata.org/wiki/Q932068","display_name":"Environmental health","level":1,"score":0.07250741124153137},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793005726500134","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793005726500134","pdf_url":null,"source":{"id":"https://openalex.org/S135331755","display_name":"New Mathematics and Natural Computation","issn_l":"1793-0057","issn":["1793-0057","1793-7027"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"New Mathematics and Natural Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2171482902","https://openalex.org/W2129863591","https://openalex.org/W1983481117","https://openalex.org/W1596769710","https://openalex.org/W2024251235","https://openalex.org/W2061411662","https://openalex.org/W3033885688","https://openalex.org/W2365431184","https://openalex.org/W4392366442","https://openalex.org/W1969083080"],"abstract_inverted_index":{"This":[0,89],"research":[1,58],"conducts":[2],"a":[3,8,34],"comprehensive":[4],"analytical":[5,87],"investigation":[6],"into":[7,107],"stochastic":[9],"SIR":[10],"epidemic":[11,94,109],"model":[12,27],"that":[13],"integrates":[14],"nonlinear":[15],"power":[16],"functions":[17],"and":[18,84,100,112],"logistic":[19],"growth":[20,98],"dynamics.":[21],"We":[22],"examine":[23],"the":[24,45,50,57,64,77,86],"intricacies":[25],"of":[26,52,67],"behavior,":[28],"demonstrating":[29],"its":[30],"capability":[31],"to":[32,82,92],"produce":[33],"positive":[35],"global":[36],"solution.":[37],"Utilizing":[38],"precisely":[39],"defined":[40],"Lyapunov":[41],"functions,":[42],"we":[43,75],"demonstrate":[44],"essential":[46],"prerequisites":[47],"for":[48,62],"establishing":[49],"ergodicity":[51],"this":[53,71],"particular":[54],"model.":[55],"Furthermore,":[56],"deduces":[59],"adequate":[60],"criteria":[61],"predicting":[63],"eventual":[65],"eradication":[66],"infectious":[68],"diseases":[69],"within":[70],"theoretical":[72],"framework.":[73],"Ultimately,":[74],"supplement":[76],"study":[78],"with":[79,96],"numerical":[80],"simulations":[81],"elucidate":[83],"substantiate":[85],"findings.":[88],"work":[90],"contributes":[91],"comprehending":[93],"systems":[95],"nuanced":[97],"patterns":[99],"intricate":[101],"disease":[102],"transmission":[103],"mechanisms,":[104],"offering":[105],"insights":[106],"real-world":[108],"potential":[110],"behaviors":[111],"outcomes.":[113]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
