{"id":"https://openalex.org/W3045071106","doi":"https://doi.org/10.1155/2020/9217387","title":"Pattern Dynamics of Nonlocal Delay SI Epidemic Model with the Growth of the Susceptible following Logistic Mode","display_name":"Pattern Dynamics of Nonlocal Delay SI Epidemic Model with the Growth of the Susceptible following Logistic Mode","publication_year":2020,"publication_date":"2020-07-26","ids":{"openalex":"https://openalex.org/W3045071106","doi":"https://doi.org/10.1155/2020/9217387","mag":"3045071106"},"language":"en","primary_location":{"id":"doi:10.1155/2020/9217387","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2020/9217387","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/9217387.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/complexity/2020/9217387.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5052762313","display_name":"Zun\u2010Guang Guo","orcid":null},"institutions":[{"id":"https://openalex.org/I135714990","display_name":"North University of China","ror":"https://ror.org/047bp1713","country_code":"CN","type":"education","lineage":["https://openalex.org/I135714990"]},{"id":"https://openalex.org/I4210115395","display_name":"Taiyuan Institute of Technology","ror":"https://ror.org/02d0fkx94","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210115395"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zun-Guang Guo","raw_affiliation_strings":["Department of Computer Science and Technology, North University of China, Taiyuan, Shanxi 030051, China","Department of Science, Taiyuan Institute of Technology, Taiyuan, Shanxi 030008, China","Department of Computer Science and Technology, North University of China, Taiyuan, Shanxi 030051"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Technology, North University of China, Taiyuan, Shanxi 030051, China","institution_ids":["https://openalex.org/I135714990"]},{"raw_affiliation_string":"Department of Science, Taiyuan Institute of Technology, Taiyuan, Shanxi 030008, China","institution_ids":["https://openalex.org/I4210115395"]},{"raw_affiliation_string":"Department of Computer Science and Technology, North University of China, Taiyuan, Shanxi 030051","institution_ids":["https://openalex.org/I135714990"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100675745","display_name":"Jing Li","orcid":"https://orcid.org/0000-0001-9904-2654"},"institutions":[{"id":"https://openalex.org/I170751988","display_name":"Shanxi University of Finance and Economics","ror":"https://ror.org/04nte7y58","country_code":"CN","type":"education","lineage":["https://openalex.org/I170751988"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jing Li","raw_affiliation_strings":["College of Applied Mathematics, Shanxi University of Finance and Economics, Taiyuan, Shanxi 030006, China"],"affiliations":[{"raw_affiliation_string":"College of Applied Mathematics, Shanxi University of Finance and Economics, Taiyuan, Shanxi 030006, China","institution_ids":["https://openalex.org/I170751988"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041822008","display_name":"Can Li","orcid":"https://orcid.org/0000-0002-8420-120X"},"institutions":[{"id":"https://openalex.org/I4210115395","display_name":"Taiyuan Institute of Technology","ror":"https://ror.org/02d0fkx94","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210115395"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Can Li","raw_affiliation_strings":["Department of Science, Taiyuan Institute of Technology, Taiyuan, Shanxi 030008, China"],"affiliations":[{"raw_affiliation_string":"Department of Science, Taiyuan Institute of Technology, Taiyuan, Shanxi 030008, China","institution_ids":["https://openalex.org/I4210115395"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022729957","display_name":"Juan Liang","orcid":"https://orcid.org/0000-0002-8739-1694"},"institutions":[{"id":"https://openalex.org/I4210115395","display_name":"Taiyuan Institute of Technology","ror":"https://ror.org/02d0fkx94","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210115395"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Juan Liang","raw_affiliation_strings":["Department of Science, Taiyuan Institute of Technology, Taiyuan, Shanxi 030008, China"],"affiliations":[{"raw_affiliation_string":"Department of Science, Taiyuan Institute of Technology, Taiyuan, Shanxi 030008, China","institution_ids":["https://openalex.org/I4210115395"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113231491","display_name":"Yiwei Yan","orcid":"https://orcid.org/0000-0003-3794-1106"},"institutions":[{"id":"https://openalex.org/I4210115395","display_name":"Taiyuan Institute of Technology","ror":"https://ror.org/02d0fkx94","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210115395"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yiwei Yan","raw_affiliation_strings":["Department of Science, Taiyuan Institute of Technology, Taiyuan, Shanxi 030008, China"],"affiliations":[{"raw_affiliation_string":"Department of Science, Taiyuan Institute of Technology, Taiyuan, Shanxi 030008, China","institution_ids":["https://openalex.org/I4210115395"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5100675745"],"corresponding_institution_ids":["https://openalex.org/I170751988"],"apc_list":{"value":2300,"currency":"USD","value_usd":2300},"apc_paid":{"value":2300,"currency":"USD","value_usd":2300},"fwci":0.3605,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.66585945,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"2020","issue":null,"first_page":"1","last_page":"11"},"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":0.9998000264167786,"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":0.9998000264167786,"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":0.9973000288009644,"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":0.9940999746322632,"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/stability","display_name":"Stability (learning theory)","score":0.6117491722106934},{"id":"https://openalex.org/keywords/turing","display_name":"Turing","score":0.5806980729103088},{"id":"https://openalex.org/keywords/mode","display_name":"Mode (computer interface)","score":0.5530423521995544},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.5272732377052307},{"id":"https://openalex.org/keywords/parameter-space","display_name":"Parameter space","score":0.5016520023345947},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.4848812520503998},{"id":"https://openalex.org/keywords/epidemic-model","display_name":"Epidemic model","score":0.4841907322406769},{"id":"https://openalex.org/keywords/logistic-function","display_name":"Logistic function","score":0.4829270541667938},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44743484258651733},{"id":"https://openalex.org/keywords/instability","display_name":"Instability","score":0.4436686933040619},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.40787065029144287},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3551816940307617},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35035258531570435},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3403734266757965},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.22858572006225586},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.19047948718070984},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1648988127708435},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.10421997308731079},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09293854236602783},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.0657498836517334}],"concepts":[{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6117491722106934},{"id":"https://openalex.org/C9870796","wikidata":"https://www.wikidata.org/wiki/Q490481","display_name":"Turing","level":2,"score":0.5806980729103088},{"id":"https://openalex.org/C48677424","wikidata":"https://www.wikidata.org/wiki/Q6888088","display_name":"Mode (computer interface)","level":2,"score":0.5530423521995544},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.5272732377052307},{"id":"https://openalex.org/C73586568","wikidata":"https://www.wikidata.org/wiki/Q2600211","display_name":"Parameter space","level":2,"score":0.5016520023345947},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.4848812520503998},{"id":"https://openalex.org/C1627819","wikidata":"https://www.wikidata.org/wiki/Q2572354","display_name":"Epidemic model","level":3,"score":0.4841907322406769},{"id":"https://openalex.org/C180802074","wikidata":"https://www.wikidata.org/wiki/Q1052379","display_name":"Logistic function","level":2,"score":0.4829270541667938},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44743484258651733},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.4436686933040619},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.40787065029144287},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3551816940307617},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35035258531570435},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3403734266757965},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.22858572006225586},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.19047948718070984},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1648988127708435},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.10421997308731079},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09293854236602783},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0657498836517334},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C99454951","wikidata":"https://www.wikidata.org/wiki/Q932068","display_name":"Environmental health","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2020/9217387","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2020/9217387","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/9217387.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:complx:9217387","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/8503/2020/9217387.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:c63981c810094b59b60c01af6acac57b","is_oa":true,"landing_page_url":"https://doaj.org/article/c63981c810094b59b60c01af6acac57b","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-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complexity, Vol 2020 (2020)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2020/9217387","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2020/9217387","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/9217387.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/3","score":0.8600000143051147,"display_name":"Good health and well-being"}],"awards":[{"id":"https://openalex.org/G2233237721","display_name":null,"funder_award_id":"2016BY120","funder_id":"https://openalex.org/F4320322666","funder_display_name":"Natural Science Foundation of Shanxi Province"},{"id":"https://openalex.org/G443955815","display_name":null,"funder_award_id":"201901D211411","funder_id":"https://openalex.org/F4320322666","funder_display_name":"Natural Science Foundation of Shanxi Province"},{"id":"https://openalex.org/G4549868644","display_name":null,"funder_award_id":"2018008","funder_id":"https://openalex.org/F4320322666","funder_display_name":"Natural Science Foundation of Shanxi Province"},{"id":"https://openalex.org/G4670718447","display_name":null,"funder_award_id":"201901D111322","funder_id":"https://openalex.org/F4320322666","funder_display_name":"Natural Science Foundation of Shanxi Province"},{"id":"https://openalex.org/G4955866242","display_name":null,"funder_award_id":"2016LZ02","funder_id":"https://openalex.org/F4320322666","funder_display_name":"Natural Science Foundation of Shanxi Province"},{"id":"https://openalex.org/G6992060246","display_name":null,"funder_award_id":"2019L0472","funder_id":"https://openalex.org/F4320322666","funder_display_name":"Natural Science Foundation of Shanxi Province"}],"funders":[{"id":"https://openalex.org/F4320322666","display_name":"Natural Science Foundation of Shanxi Province","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3045071106.pdf","grobid_xml":"https://content.openalex.org/works/W3045071106.grobid-xml"},"referenced_works_count":37,"referenced_works":["https://openalex.org/W1827183454","https://openalex.org/W1963850947","https://openalex.org/W1979359717","https://openalex.org/W1987309612","https://openalex.org/W1993604411","https://openalex.org/W2004352855","https://openalex.org/W2011960100","https://openalex.org/W2017884897","https://openalex.org/W2020705395","https://openalex.org/W2026613779","https://openalex.org/W2033630192","https://openalex.org/W2035870063","https://openalex.org/W2049514766","https://openalex.org/W2051685176","https://openalex.org/W2052368913","https://openalex.org/W2077333503","https://openalex.org/W2081879691","https://openalex.org/W2095315802","https://openalex.org/W2101748455","https://openalex.org/W2123146480","https://openalex.org/W2148301044","https://openalex.org/W2159654108","https://openalex.org/W2168908840","https://openalex.org/W2195985293","https://openalex.org/W2420497118","https://openalex.org/W2534928832","https://openalex.org/W2577347286","https://openalex.org/W2622438896","https://openalex.org/W2799487647","https://openalex.org/W2889060632","https://openalex.org/W2902292522","https://openalex.org/W2912560929","https://openalex.org/W2913393012","https://openalex.org/W2947165724","https://openalex.org/W2962822548","https://openalex.org/W2962917228","https://openalex.org/W4237998370"],"related_works":["https://openalex.org/W2022300913","https://openalex.org/W1570780624","https://openalex.org/W2322569264","https://openalex.org/W2093673119","https://openalex.org/W2257349530","https://openalex.org/W2077461433","https://openalex.org/W14400985","https://openalex.org/W2083493576","https://openalex.org/W2365431184","https://openalex.org/W1969083080"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"investigate":[4],"pattern":[5],"dynamics":[6],"of":[7,17,69,92],"a":[8,106],"nonlocal":[9],"delay":[10,61,75],"SI":[11],"epidemic":[12],"model":[13,32],"with":[14,83,100],"the":[15,24,28,31,37,44,51,59,66,70,77,89,93,101],"growth":[16],"susceptible":[18],"population":[19],"following":[20],"logistic":[21],"mode.":[22],"Applying":[23],"linear":[25],"stability":[26],"theory,":[27],"condition":[29],"that":[30,58,72],"generates":[33],"Turing":[34,46],"instability":[35],"at":[36],"endemic":[38],"steady":[39],"state":[40],"is":[41,48,98],"analyzed;":[42],"then,":[43],"exact":[45],"domain":[47],"found":[49],"in":[50],"parameter":[52],"space.":[53],"Additionally,":[54],"numerical":[55,96],"results":[56],"show":[57],"time":[60,74],"has":[62],"key":[63],"effect":[64],"on":[65],"spatial":[67,85],"distribution":[68],"infected,":[71],"is,":[73],"induces":[76],"system":[78],"to":[79],"generate":[80],"stripe":[81],"patterns":[82],"different":[84],"structures":[86],"and":[87,111],"affects":[88],"average":[90],"density":[91],"infected.":[94],"The":[95],"simulation":[97],"consistent":[99],"theoretical":[102],"results,":[103],"which":[104],"provides":[105],"reference":[107],"for":[108],"disease":[109],"prevention":[110],"control.":[112]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
