{"id":"https://openalex.org/W3197265875","doi":"https://doi.org/10.1007/978-3-030-86582-5_6","title":"Approximate Solutions of the RSIR Model of COVID-19 Pandemic","display_name":"Approximate Solutions of the RSIR Model of COVID-19 Pandemic","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3197265875","doi":"https://doi.org/10.1007/978-3-030-86582-5_6","mag":"3197265875"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-86582-5_6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-86582-5_6","pdf_url":null,"source":{"id":"https://openalex.org/S4210185096","display_name":"IFIP advances in information and communication technology","issn_l":"1868-422X","issn":["1868-422X","1868-4238"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IFIP Advances in Information and Communication Technology","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://inria.hal.science/hal-03746667","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040287828","display_name":"\u0424. \u041c. \u041f\u0435\u043d\u044c\u043a\u043e\u0432","orcid":null},"institutions":[{"id":"https://openalex.org/I185571130","display_name":"Al-Farabi Kazakh National University","ror":"https://ror.org/03q0vrn42","country_code":"KZ","type":"education","lineage":["https://openalex.org/I185571130"]}],"countries":["KZ"],"is_corresponding":true,"raw_author_name":"F. M. Pen\u2019kov","raw_affiliation_strings":["Al-Farabi Kazakh National University, 050040, Almaty, Kazakhstan","Al-Farabi Kazakh National University [Almaty]"],"raw_orcid":"https://orcid.org/0000-0002-7001-6134","affiliations":[{"raw_affiliation_string":"Al-Farabi Kazakh National University, 050040, Almaty, Kazakhstan","institution_ids":["https://openalex.org/I185571130"]},{"raw_affiliation_string":"Al-Farabi Kazakh National University [Almaty]","institution_ids":["https://openalex.org/I185571130"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037238412","display_name":"Vladimir L. Derbov","orcid":"https://orcid.org/0000-0001-5450-3963"},"institutions":[{"id":"https://openalex.org/I125219893","display_name":"Saratov State University","ror":"https://ror.org/05jcsqx24","country_code":"RU","type":"education","lineage":["https://openalex.org/I125219893"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"V. L. Derbov","raw_affiliation_strings":["N.G. Chernyshevsky Saratov National Research State University, 410012, Saratov, Russia","Chernyshevsky Saratov National Research State University [Saratov]"],"raw_orcid":"https://orcid.org/0000-0001-5450-3963","affiliations":[{"raw_affiliation_string":"N.G. Chernyshevsky Saratov National Research State University, 410012, Saratov, Russia","institution_ids":["https://openalex.org/I125219893"]},{"raw_affiliation_string":"Chernyshevsky Saratov National Research State University [Saratov]","institution_ids":["https://openalex.org/I125219893"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006753813","display_name":"\u0413. \u0427\u0443\u043b\u0443\u0443\u043d\u0431\u0430\u0430\u0442\u0430\u0440","orcid":"https://orcid.org/0000-0001-6834-6057"},"institutions":[{"id":"https://openalex.org/I126527374","display_name":"Peoples' Friendship University of Russia","ror":"https://ror.org/02dn9h927","country_code":"RU","type":"education","lineage":["https://openalex.org/I126527374"]},{"id":"https://openalex.org/I32699454","display_name":"Joint Institute for Nuclear Research","ror":"https://ror.org/044yd9t77","country_code":"RU","type":"facility","lineage":["https://openalex.org/I32699454"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"G. Chuluunbaatar","raw_affiliation_strings":["Joint Institute for Nuclear Research, Dubna, Russia","Peoples\u2019 Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya, 117198, Moscow, Russia","Joint Institute for Nuclear Research","Peoples Friendship University of Russia [RUDN University]"],"raw_orcid":"https://orcid.org/0000-0001-6834-6057","affiliations":[{"raw_affiliation_string":"Joint Institute for Nuclear Research, Dubna, Russia","institution_ids":["https://openalex.org/I32699454"]},{"raw_affiliation_string":"Peoples\u2019 Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya, 117198, Moscow, Russia","institution_ids":["https://openalex.org/I126527374"]},{"raw_affiliation_string":"Joint Institute for Nuclear Research","institution_ids":["https://openalex.org/I32699454"]},{"raw_affiliation_string":"Peoples Friendship University of Russia [RUDN University]","institution_ids":["https://openalex.org/I126527374"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058390375","display_name":"\u0410. \u0410. \u0413\u0443\u0441\u0435\u0432","orcid":"https://orcid.org/0000-0003-4897-6128"},"institutions":[{"id":"https://openalex.org/I32699454","display_name":"Joint Institute for Nuclear Research","ror":"https://ror.org/044yd9t77","country_code":"RU","type":"facility","lineage":["https://openalex.org/I32699454"]},{"id":"https://openalex.org/I4210094364","display_name":"Dubna State University","ror":"https://ror.org/00smn7825","country_code":"RU","type":"education","lineage":["https://openalex.org/I4210094364"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"A. A. Gusev","raw_affiliation_strings":["Dubna State University, Dubna, Russia","Joint Institute for Nuclear Research, Dubna, Russia","Dubna State University","Joint Institute for Nuclear Research"],"raw_orcid":"https://orcid.org/0000-0003-4897-6128","affiliations":[{"raw_affiliation_string":"Dubna State University, Dubna, Russia","institution_ids":["https://openalex.org/I4210094364"]},{"raw_affiliation_string":"Joint Institute for Nuclear Research, Dubna, Russia","institution_ids":["https://openalex.org/I32699454"]},{"raw_affiliation_string":"Dubna State University","institution_ids":["https://openalex.org/I4210094364"]},{"raw_affiliation_string":"Joint Institute for Nuclear Research","institution_ids":["https://openalex.org/I32699454"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014110455","display_name":"S. I. Vinitsky","orcid":"https://orcid.org/0000-0003-3078-0047"},"institutions":[{"id":"https://openalex.org/I126527374","display_name":"Peoples' Friendship University of Russia","ror":"https://ror.org/02dn9h927","country_code":"RU","type":"education","lineage":["https://openalex.org/I126527374"]},{"id":"https://openalex.org/I32699454","display_name":"Joint Institute for Nuclear Research","ror":"https://ror.org/044yd9t77","country_code":"RU","type":"facility","lineage":["https://openalex.org/I32699454"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"S. I. Vinitsky","raw_affiliation_strings":["Joint Institute for Nuclear Research, Dubna, Russia","Peoples\u2019 Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya, 117198, Moscow, Russia","Joint Institute for Nuclear Research","Peoples Friendship University of Russia [RUDN University]"],"raw_orcid":"https://orcid.org/0000-0003-3078-0047","affiliations":[{"raw_affiliation_string":"Joint Institute for Nuclear Research, Dubna, Russia","institution_ids":["https://openalex.org/I32699454"]},{"raw_affiliation_string":"Peoples\u2019 Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya, 117198, Moscow, Russia","institution_ids":["https://openalex.org/I126527374"]},{"raw_affiliation_string":"Joint Institute for Nuclear Research","institution_ids":["https://openalex.org/I32699454"]},{"raw_affiliation_string":"Peoples Friendship University of Russia [RUDN University]","institution_ids":["https://openalex.org/I126527374"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058338738","display_name":"Marek G\u00f3\u017ad\u017a","orcid":"https://orcid.org/0000-0003-4958-8880"},"institutions":[{"id":"https://openalex.org/I174183983","display_name":"Maria Curie-Sk\u0142odowska University","ror":"https://ror.org/015h0qg34","country_code":"PL","type":"education","lineage":["https://openalex.org/I174183983"]},{"id":"https://openalex.org/I4210087266","display_name":"Institute of Computer Science","ror":"https://ror.org/003fvp964","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210087266","https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"M. G\u00f3\u017ad\u017a","raw_affiliation_strings":["Institute of Computer Science, University of Maria Curie-Sk\u0142odowska, Lublin, Poland","Maria Curie-Sklodowska University"],"raw_orcid":"https://orcid.org/0000-0003-4958-8880","affiliations":[{"raw_affiliation_string":"Institute of Computer Science, University of Maria Curie-Sk\u0142odowska, Lublin, Poland","institution_ids":["https://openalex.org/I174183983","https://openalex.org/I4210087266"]},{"raw_affiliation_string":"Maria Curie-Sklodowska University","institution_ids":["https://openalex.org/I174183983"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045999597","display_name":"P. M. Krassovitskiy","orcid":"https://orcid.org/0000-0001-8145-7974"},"institutions":[{"id":"https://openalex.org/I4210132247","display_name":"National Nuclear Center of the Republic of Kazakhstan","ror":"https://ror.org/02nqtsx95","country_code":"KZ","type":"facility","lineage":["https://openalex.org/I4210132247"]}],"countries":["KZ"],"is_corresponding":false,"raw_author_name":"P. M. Krassovitskiy","raw_affiliation_strings":["Institute of Nuclear Physics, 050032, Almaty, Kazakhstan","Institute of Nuclear Physics [Almaty]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Nuclear Physics, 050032, Almaty, Kazakhstan","institution_ids":["https://openalex.org/I4210132247"]},{"raw_affiliation_string":"Institute of Nuclear Physics [Almaty]","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5040287828"],"corresponding_institution_ids":["https://openalex.org/I185571130"],"apc_list":null,"apc_paid":null,"fwci":2.5203,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.91512915,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"53","last_page":"64"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10410","display_name":"COVID-19 epidemiological studies","score":0.9987000226974487,"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":0.9987000226974487,"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":0.9624000191688538,"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/T11711","display_name":"COVID-19 Pandemic Impacts","score":0.906499981880188,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/pandemic","display_name":"Pandemic","score":0.8677698373794556},{"id":"https://openalex.org/keywords/coronavirus-disease-2019","display_name":"Coronavirus disease 2019 (COVID-19)","score":0.8351167440414429},{"id":"https://openalex.org/keywords/severe-acute-respiratory-syndrome-coronavirus-2","display_name":"Severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2)","score":0.5805763602256775},{"id":"https://openalex.org/keywords/2019-20-coronavirus-outbreak","display_name":"2019-20 coronavirus outbreak","score":0.5652881860733032},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.5508808493614197},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4905034899711609},{"id":"https://openalex.org/keywords/argument","display_name":"Argument (complex analysis)","score":0.48351648449897766},{"id":"https://openalex.org/keywords/epidemic-model","display_name":"Epidemic model","score":0.47221118211746216},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.45703330636024475},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4488867521286011},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.2680501937866211},{"id":"https://openalex.org/keywords/virology","display_name":"Virology","score":0.257293164730072},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17492333054542542},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.15214884281158447},{"id":"https://openalex.org/keywords/demography","display_name":"Demography","score":0.14957696199417114},{"id":"https://openalex.org/keywords/sociology","display_name":"Sociology","score":0.09300664067268372},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07131999731063843},{"id":"https://openalex.org/keywords/outbreak","display_name":"Outbreak","score":0.05034667253494263},{"id":"https://openalex.org/keywords/infectious-disease","display_name":"Infectious disease (medical specialty)","score":0.04758915305137634}],"concepts":[{"id":"https://openalex.org/C89623803","wikidata":"https://www.wikidata.org/wiki/Q12184","display_name":"Pandemic","level":5,"score":0.8677698373794556},{"id":"https://openalex.org/C3008058167","wikidata":"https://www.wikidata.org/wiki/Q84263196","display_name":"Coronavirus disease 2019 (COVID-19)","level":4,"score":0.8351167440414429},{"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":0.5805763602256775},{"id":"https://openalex.org/C3006700255","wikidata":"https://www.wikidata.org/wiki/Q81068910","display_name":"2019-20 coronavirus outbreak","level":3,"score":0.5652881860733032},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.5508808493614197},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4905034899711609},{"id":"https://openalex.org/C98184364","wikidata":"https://www.wikidata.org/wiki/Q1780131","display_name":"Argument (complex analysis)","level":2,"score":0.48351648449897766},{"id":"https://openalex.org/C1627819","wikidata":"https://www.wikidata.org/wiki/Q2572354","display_name":"Epidemic model","level":3,"score":0.47221118211746216},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.45703330636024475},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4488867521286011},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.2680501937866211},{"id":"https://openalex.org/C159047783","wikidata":"https://www.wikidata.org/wiki/Q7215","display_name":"Virology","level":1,"score":0.257293164730072},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17492333054542542},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.15214884281158447},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.14957696199417114},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.09300664067268372},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07131999731063843},{"id":"https://openalex.org/C116675565","wikidata":"https://www.wikidata.org/wiki/Q3241045","display_name":"Outbreak","level":2,"score":0.05034667253494263},{"id":"https://openalex.org/C524204448","wikidata":"https://www.wikidata.org/wiki/Q788926","display_name":"Infectious disease (medical specialty)","level":3,"score":0.04758915305137634},{"id":"https://openalex.org/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","level":1,"score":0.0},{"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/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.0},{"id":"https://openalex.org/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","level":1,"score":0.0},{"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:10.1007/978-3-030-86582-5_6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-86582-5_6","pdf_url":null,"source":{"id":"https://openalex.org/S4210185096","display_name":"IFIP advances in information and communication technology","issn_l":"1868-422X","issn":["1868-422X","1868-4238"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IFIP Advances in Information and Communication Technology","raw_type":"book-chapter"},{"id":"pmh:oai:HAL:hal-03746667v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-03746667","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"1st International Conference on Computer Science Protecting Human Society Against Epidemics (ANTICOVID), Jun 2021, Virtual, Poland. pp.53-64, ⟨10.1007/978-3-030-86582-5_6⟩","raw_type":"Conference papers"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-03746667v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-03746667","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"1st International Conference on Computer Science Protecting Human Society Against Epidemics (ANTICOVID), Jun 2021, Virtual, Poland. pp.53-64, ⟨10.1007/978-3-030-86582-5_6⟩","raw_type":"Conference papers"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/3","score":0.8500000238418579,"display_name":"Good health and well-being"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W2148301044","https://openalex.org/W3013357785","https://openalex.org/W3045491759","https://openalex.org/W3091843346","https://openalex.org/W3100034118","https://openalex.org/W3114603448","https://openalex.org/W3121326650","https://openalex.org/W3157811718","https://openalex.org/W3162686747"],"related_works":["https://openalex.org/W4200329650","https://openalex.org/W3127156785","https://openalex.org/W3009669391","https://openalex.org/W4206669628","https://openalex.org/W4205317059","https://openalex.org/W3005417802","https://openalex.org/W3084498529","https://openalex.org/W4226296940","https://openalex.org/W3036314732","https://openalex.org/W3134376730"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}