{"id":"https://openalex.org/W4376104795","doi":"https://doi.org/10.1007/s00200-023-00607-5","title":"A discrete SIS-model built on the strictly positive scheme","display_name":"A discrete SIS-model built on the strictly positive scheme","publication_year":2023,"publication_date":"2023-05-09","ids":{"openalex":"https://openalex.org/W4376104795","doi":"https://doi.org/10.1007/s00200-023-00607-5"},"language":"en","primary_location":{"id":"doi:10.1007/s00200-023-00607-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00200-023-00607-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00200-023-00607-5.pdf","source":{"id":"https://openalex.org/S44535979","display_name":"Applicable Algebra in Engineering Communication and Computing","issn_l":"0938-1279","issn":["0938-1279","1432-0622"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applicable Algebra in Engineering, Communication and Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00200-023-00607-5.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5091411695","display_name":"Marcin Choi\u0144ski","orcid":"https://orcid.org/0000-0001-6157-8963"},"institutions":[{"id":"https://openalex.org/I170230895","display_name":"Warsaw University of Life Sciences","ror":"https://ror.org/05srvzs48","country_code":"PL","type":"education","lineage":["https://openalex.org/I170230895"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Marcin Choi\u0144ski","raw_affiliation_strings":["Institute of Information Technology, Warsaw University of Life Sciences, Nowoursynowska 159 building 34, 02-776, Warsaw, Mazovia Province, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Information Technology, Warsaw University of Life Sciences, Nowoursynowska 159 building 34, 02-776, Warsaw, Mazovia Province, Poland","institution_ids":["https://openalex.org/I170230895"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5091411695"],"corresponding_institution_ids":["https://openalex.org/I170230895"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":1.0875,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.77384029,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"35","issue":"1","first_page":"17","last_page":"30"},"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":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9998999834060669,"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/T11764","display_name":"Evolution and Genetic Dynamics","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10410","display_name":"COVID-19 epidemiological studies","score":0.9959999918937683,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.9311437606811523},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.7095836997032166},{"id":"https://openalex.org/keywords/homogeneous","display_name":"Homogeneous","score":0.6052106022834778},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.5606186985969543},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5587789416313171},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5579805374145508},{"id":"https://openalex.org/keywords/stationary-state","display_name":"Stationary state","score":0.5574232339859009},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.5332567095756531},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5171687006950378},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.5130935907363892},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.48695477843284607},{"id":"https://openalex.org/keywords/population-model","display_name":"Population model","score":0.4335521161556244},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3387492895126343},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33249136805534363},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.18318960070610046},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.11899861693382263},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08355212211608887},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.0739283561706543},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.0662601888179779}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.9311437606811523},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.7095836997032166},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.6052106022834778},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5606186985969543},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5587789416313171},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5579805374145508},{"id":"https://openalex.org/C47458137","wikidata":"https://www.wikidata.org/wiki/Q911951","display_name":"Stationary state","level":2,"score":0.5574232339859009},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.5332567095756531},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5171687006950378},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.5130935907363892},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.48695477843284607},{"id":"https://openalex.org/C52079815","wikidata":"https://www.wikidata.org/wiki/Q7229808","display_name":"Population model","level":3,"score":0.4335521161556244},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3387492895126343},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33249136805534363},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18318960070610046},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.11899861693382263},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08355212211608887},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0739283561706543},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0662601888179779},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00200-023-00607-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00200-023-00607-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00200-023-00607-5.pdf","source":{"id":"https://openalex.org/S44535979","display_name":"Applicable Algebra in Engineering Communication and Computing","issn_l":"0938-1279","issn":["0938-1279","1432-0622"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applicable Algebra in Engineering, Communication and Computing","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s00200-023-00607-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00200-023-00607-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00200-023-00607-5.pdf","source":{"id":"https://openalex.org/S44535979","display_name":"Applicable Algebra in Engineering Communication and Computing","issn_l":"0938-1279","issn":["0938-1279","1432-0622"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applicable Algebra in Engineering, Communication and Computing","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/3","display_name":"Good health and well-being","score":0.8399999737739563}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4376104795.pdf"},"referenced_works_count":6,"referenced_works":["https://openalex.org/W603207913","https://openalex.org/W2104523869","https://openalex.org/W2492166149","https://openalex.org/W2598083085","https://openalex.org/W3211844967","https://openalex.org/W4292994524"],"related_works":["https://openalex.org/W2994756382","https://openalex.org/W2441932228","https://openalex.org/W2031676416","https://openalex.org/W4376104795","https://openalex.org/W2025722771","https://openalex.org/W2104831383","https://openalex.org/W2101200472","https://openalex.org/W2146303239","https://openalex.org/W2972062574","https://openalex.org/W2188530331"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2,66],"paper":[3],"we":[4,48],"introduce":[5],"and":[6,55],"analyze":[7],"a":[8,14,18],"discrete":[9,111],"SIS":[10],"epidemic":[11],"model":[12,29],"for":[13,58,65,87],"homogeneous":[15],"population.":[16],"As":[17],"discretization":[19,102],"method":[20],"the":[21,45,59,71,74,90,97,101],"strictly":[22],"positive":[23],"scheme":[24],"was":[25],"chosen.":[26],"The":[27,63,78],"presented":[28],"is":[30,84],"built":[31],"from":[32,37,81],"its":[33],"continuous":[34],"counterpart":[35],"known":[36],"literature.":[38],"We":[39],"firstly":[40],"present":[41],"basic":[42,75],"properties":[43],"of":[44,52,73,89,100],"system.":[46],"Later":[47],"discuss":[49],"local":[50],"stability":[51,57,88],"stationary":[53,61,91],"states":[54,92],"global":[56],"disease-free":[60],"state.":[62],"results":[64,119],"state":[67],"are":[68,120],"expressed":[69],"with":[70,122],"use":[72],"reproduction":[76],"number.":[77],"main":[79],"conclusion":[80],"our":[82,115],"work":[83],"that":[85],"conditions":[86],"do":[93],"not":[94],"depend":[95],"on":[96],"step":[98],"size":[99],"method.":[103],"This":[104],"fact":[105],"stays":[106],"in":[107,114],"contrary":[108],"to":[109],"other":[110],"models":[112],"analyzed":[113],"previous":[116],"papers.":[117],"Theoretical":[118],"accomplished":[121],"numerical":[123],"simulations.":[124]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-10-10T00:00:00"}
