{"id":"https://openalex.org/W4407884269","doi":"https://doi.org/10.1007/s12190-025-02417-z","title":"Modeling and analysis of a class of epidemic models with asymptomatic infection and transmission heterogeneity","display_name":"Modeling and analysis of a class of epidemic models with asymptomatic infection and transmission heterogeneity","publication_year":2025,"publication_date":"2025-02-24","ids":{"openalex":"https://openalex.org/W4407884269","doi":"https://doi.org/10.1007/s12190-025-02417-z"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-025-02417-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-025-02417-z","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics and Computing","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/A5100411735","display_name":"Panpan Zhang","orcid":"https://orcid.org/0000-0002-9633-6208"},"institutions":[{"id":"https://openalex.org/I21642278","display_name":"Ningxia University","ror":"https://ror.org/04j7b2v61","country_code":"CN","type":"education","lineage":["https://openalex.org/I21642278"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Panpan Zhang","raw_affiliation_strings":["Ningxia Basic Science Research Center of Mathematics, Ningxia University, Yinchuan, 750021, China","Ningxia Key Laboratory of Interdisciplinary Mechanics and Scientific Computing, Ningxia University, Yinchuan, 750021, China","School of Mathematics and Statistics, Ningxia University, Yinchuan, 750021, China"],"affiliations":[{"raw_affiliation_string":"Ningxia Basic Science Research Center of Mathematics, Ningxia University, Yinchuan, 750021, China","institution_ids":["https://openalex.org/I21642278"]},{"raw_affiliation_string":"Ningxia Key Laboratory of Interdisciplinary Mechanics and Scientific Computing, Ningxia University, Yinchuan, 750021, China","institution_ids":["https://openalex.org/I21642278"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Ningxia University, Yinchuan, 750021, China","institution_ids":["https://openalex.org/I21642278"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101858835","display_name":"Qiang Zhang","orcid":"https://orcid.org/0000-0002-7116-9327"},"institutions":[{"id":"https://openalex.org/I21642278","display_name":"Ningxia University","ror":"https://ror.org/04j7b2v61","country_code":"CN","type":"education","lineage":["https://openalex.org/I21642278"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qiang Zhang","raw_affiliation_strings":["Ningxia Basic Science Research Center of Mathematics, Ningxia University, Yinchuan, 750021, China","Ningxia Key Laboratory of Interdisciplinary Mechanics and Scientific Computing, Ningxia University, Yinchuan, 750021, China","School of Mathematics and Statistics, Ningxia University, Yinchuan, 750021, China"],"affiliations":[{"raw_affiliation_string":"Ningxia Basic Science Research Center of Mathematics, Ningxia University, Yinchuan, 750021, China","institution_ids":["https://openalex.org/I21642278"]},{"raw_affiliation_string":"Ningxia Key Laboratory of Interdisciplinary Mechanics and Scientific Computing, Ningxia University, Yinchuan, 750021, China","institution_ids":["https://openalex.org/I21642278"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Ningxia University, Yinchuan, 750021, China","institution_ids":["https://openalex.org/I21642278"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056365945","display_name":"Xuerui Wei","orcid":null},"institutions":[{"id":"https://openalex.org/I4210120250","display_name":"Shanghai Technical Institute of Electronics & Information","ror":"https://ror.org/01wh3jw63","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210120250"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xuerui Wei","raw_affiliation_strings":["Industrial School of Shen\u2019an Cyber Security, Shanghai Technical Institute of Electronics and Information, Shanghai, China","Industrial School of Shen'an Cyber Security, Shanghai Technical Institute of Electronics and Information, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Industrial School of Shen\u2019an Cyber Security, Shanghai Technical Institute of Electronics and Information, Shanghai, China","institution_ids":["https://openalex.org/I4210120250"]},{"raw_affiliation_string":"Industrial School of Shen'an Cyber Security, Shanghai Technical Institute of Electronics and Information, Shanghai, China","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102322727","display_name":"Qianqian Cui","orcid":null},"institutions":[{"id":"https://openalex.org/I21642278","display_name":"Ningxia University","ror":"https://ror.org/04j7b2v61","country_code":"CN","type":"education","lineage":["https://openalex.org/I21642278"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qianqian Cui","raw_affiliation_strings":["Ningxia Basic Science Research Center of Mathematics, Ningxia University, Yinchuan, 750021, China","Ningxia Key Laboratory of Interdisciplinary Mechanics and Scientific Computing, Ningxia University, Yinchuan, 750021, China","School of Mathematics and Statistics, Ningxia University, Yinchuan, 750021, China"],"affiliations":[{"raw_affiliation_string":"Ningxia Basic Science Research Center of Mathematics, Ningxia University, Yinchuan, 750021, China","institution_ids":["https://openalex.org/I21642278"]},{"raw_affiliation_string":"Ningxia Key Laboratory of Interdisciplinary Mechanics and Scientific Computing, Ningxia University, Yinchuan, 750021, China","institution_ids":["https://openalex.org/I21642278"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Ningxia University, Yinchuan, 750021, China","institution_ids":["https://openalex.org/I21642278"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100411735"],"corresponding_institution_ids":["https://openalex.org/I21642278"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.04281317,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"71","issue":"4","first_page":"4987","last_page":"5014"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10410","display_name":"COVID-19 epidemiological studies","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9973999857902527,"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/T11581","display_name":"Viral Infections and Outbreaks Research","score":0.9715999960899353,"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/mathematics","display_name":"Mathematics","score":0.6408127546310425},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6100705862045288},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.5962754487991333},{"id":"https://openalex.org/keywords/epidemic-model","display_name":"Epidemic model","score":0.579557478427887},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5098870992660522},{"id":"https://openalex.org/keywords/asymptomatic","display_name":"Asymptomatic","score":0.48008018732070923},{"id":"https://openalex.org/keywords/disease-transmission","display_name":"Disease transmission","score":0.43027263879776},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.36469095945358276},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.36298662424087524},{"id":"https://openalex.org/keywords/demography","display_name":"Demography","score":0.3377155065536499},{"id":"https://openalex.org/keywords/virology","display_name":"Virology","score":0.2772570252418518},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.18778809905052185},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16306450963020325},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.14913690090179443},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13227391242980957},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.10987001657485962},{"id":"https://openalex.org/keywords/sociology","display_name":"Sociology","score":0.09357210993766785},{"id":"https://openalex.org/keywords/internal-medicine","display_name":"Internal medicine","score":0.0776737630367279}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6408127546310425},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6100705862045288},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.5962754487991333},{"id":"https://openalex.org/C1627819","wikidata":"https://www.wikidata.org/wiki/Q2572354","display_name":"Epidemic model","level":3,"score":0.579557478427887},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5098870992660522},{"id":"https://openalex.org/C2777910003","wikidata":"https://www.wikidata.org/wiki/Q1707292","display_name":"Asymptomatic","level":2,"score":0.48008018732070923},{"id":"https://openalex.org/C2992243407","wikidata":"https://www.wikidata.org/wiki/Q525512","display_name":"Disease transmission","level":2,"score":0.43027263879776},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.36469095945358276},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.36298662424087524},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.3377155065536499},{"id":"https://openalex.org/C159047783","wikidata":"https://www.wikidata.org/wiki/Q7215","display_name":"Virology","level":1,"score":0.2772570252418518},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.18778809905052185},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16306450963020325},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.14913690090179443},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13227391242980957},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.10987001657485962},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.09357210993766785},{"id":"https://openalex.org/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","level":1,"score":0.0776737630367279},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12190-025-02417-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-025-02417-z","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics and Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7699999809265137,"display_name":"Good health and well-being","id":"https://metadata.un.org/sdg/3"}],"awards":[{"id":"https://openalex.org/G462398381","display_name":null,"funder_award_id":"Grant No. 12461100","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G562873870","display_name":null,"funder_award_id":"Grant No. 2023AAC03089","funder_id":"https://openalex.org/F4320322877","funder_display_name":"Natural Science Foundation of Ningxia Province"},{"id":"https://openalex.org/G8968227666","display_name":null,"funder_award_id":"Grant No. 12001305","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322877","display_name":"Natural Science Foundation of Ningxia Province","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W1966116088","https://openalex.org/W1968766719","https://openalex.org/W1968972679","https://openalex.org/W1975120587","https://openalex.org/W1986785445","https://openalex.org/W1995608339","https://openalex.org/W2012151421","https://openalex.org/W2025846332","https://openalex.org/W2084753387","https://openalex.org/W2112680994","https://openalex.org/W2121671559","https://openalex.org/W2139786655","https://openalex.org/W2142911517","https://openalex.org/W2143879250","https://openalex.org/W2265868540","https://openalex.org/W2290704839","https://openalex.org/W2301532551","https://openalex.org/W2339554988","https://openalex.org/W2775223722","https://openalex.org/W3003347489","https://openalex.org/W3003668884","https://openalex.org/W3033965764","https://openalex.org/W3047203988","https://openalex.org/W3109998099","https://openalex.org/W3110001612","https://openalex.org/W3111883190","https://openalex.org/W3158778663","https://openalex.org/W3165838540","https://openalex.org/W4200063137","https://openalex.org/W4200624692","https://openalex.org/W4236587739","https://openalex.org/W4281550495","https://openalex.org/W4281559468","https://openalex.org/W4321369033","https://openalex.org/W4387665616","https://openalex.org/W4390562149","https://openalex.org/W4394847527"],"related_works":["https://openalex.org/W3080694360","https://openalex.org/W3215665879","https://openalex.org/W3163843429","https://openalex.org/W2183450624","https://openalex.org/W4283371467","https://openalex.org/W4387226352","https://openalex.org/W4388048757","https://openalex.org/W4319315612","https://openalex.org/W2144549402","https://openalex.org/W2330664707"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-12-28T23:10:05.387466","created_date":"2025-10-10T00:00:00"}
