{"id":"https://openalex.org/W1978003634","doi":"https://doi.org/10.1155/2014/854528","title":"Dynamical Behavior of a New Epidemiological Model","display_name":"Dynamical Behavior of a New Epidemiological Model","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W1978003634","doi":"https://doi.org/10.1155/2014/854528","mag":"1978003634"},"language":"en","primary_location":{"id":"doi:10.1155/2014/854528","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/854528","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/854528.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"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","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","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/jam/2014/854528.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5049525820","display_name":"Zizi Wang","orcid":"https://orcid.org/0000-0002-4652-7954"},"institutions":[{"id":"https://openalex.org/I37987034","display_name":"Guangzhou University","ror":"https://ror.org/05ar8rn06","country_code":"CN","type":"education","lineage":["https://openalex.org/I37987034"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zizi Wang","raw_affiliation_strings":["School of Mathematics and Information Sciences, Guangzhou University, Guangzhou 510006, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Information Sciences, Guangzhou University, Guangzhou 510006, China","institution_ids":["https://openalex.org/I37987034"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008126365","display_name":"Zhiming Guo","orcid":"https://orcid.org/0000-0002-8351-8571"},"institutions":[{"id":"https://openalex.org/I37987034","display_name":"Guangzhou University","ror":"https://ror.org/05ar8rn06","country_code":"CN","type":"education","lineage":["https://openalex.org/I37987034"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhiming Guo","raw_affiliation_strings":["Key Laboratory of Mathematics and Interdisciplinary Science of Guangdong, Higher Education Institutes, Guangzhou University, Guangzhou 510006, China"],"raw_orcid":"https://orcid.org/0000-0002-8351-8571","affiliations":[{"raw_affiliation_string":"Key Laboratory of Mathematics and Interdisciplinary Science of Guangdong, Higher Education Institutes, Guangzhou University, Guangzhou 510006, China","institution_ids":["https://openalex.org/I37987034"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5008126365"],"corresponding_institution_ids":["https://openalex.org/I37987034"],"apc_list":{"value":1050,"currency":"USD","value_usd":1050},"apc_paid":{"value":1050,"currency":"USD","value_usd":1050},"fwci":0.3164,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.66598884,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"2014","issue":null,"first_page":"1","last_page":"9"},"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":0.9944999814033508,"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":0.9883000254631042,"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/algorithm","display_name":"Algorithm","score":0.6063031554222107},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39599108695983887},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.32900887727737427}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6063031554222107},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39599108695983887},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.32900887727737427}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2014/854528","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/854528","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/854528.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"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","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1425305572","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.jam/1425305572","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:854528","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2014/854528.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:db71eaf6390348aaa373c6e503d39e92","is_oa":true,"landing_page_url":"https://doaj.org/article/db71eaf6390348aaa373c6e503d39e92","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2014 (2014)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2014/854528","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/854528","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/854528.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"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","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Good health and well-being","id":"https://metadata.un.org/sdg/3","score":0.8299999833106995}],"awards":[{"id":"https://openalex.org/G1209126275","display_name":null,"funder_award_id":"IRT1226","funder_id":"https://openalex.org/F4320336024","funder_display_name":"Specialized Research Fund for the Doctoral Program of Higher Education of China"},{"id":"https://openalex.org/G19452748","display_name":null,"funder_award_id":"20124410110001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G229616424","display_name":null,"funder_award_id":"IRT1226","funder_id":"https://openalex.org/F4320338204","funder_display_name":"Program for Changjiang Scholars and Innovative Research Team in University"},{"id":"https://openalex.org/G4438008772","display_name":null,"funder_award_id":"20124410110001","funder_id":"https://openalex.org/F4320336024","funder_display_name":"Specialized Research Fund for the Doctoral Program of Higher Education of China"},{"id":"https://openalex.org/G4705118707","display_name":null,"funder_award_id":"20124410110001","funder_id":"https://openalex.org/F4320338204","funder_display_name":"Program for Changjiang Scholars and Innovative Research Team in University"},{"id":"https://openalex.org/G662886692","display_name":null,"funder_award_id":"IRT1226","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/F4320336024","display_name":"Specialized Research Fund for the Doctoral Program of Higher Education of China","ror":null},{"id":"https://openalex.org/F4320338204","display_name":"Program for Changjiang Scholars and Innovative Research Team in University","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1978003634.pdf","grobid_xml":"https://content.openalex.org/works/W1978003634.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W228144990","https://openalex.org/W1964273550","https://openalex.org/W1970025637","https://openalex.org/W1975778504","https://openalex.org/W1979800359","https://openalex.org/W1991038590","https://openalex.org/W1993677558","https://openalex.org/W1996970583","https://openalex.org/W2023965781","https://openalex.org/W2024844031","https://openalex.org/W2025025900","https://openalex.org/W2029356993","https://openalex.org/W2057223184","https://openalex.org/W2061987733","https://openalex.org/W2079871064","https://openalex.org/W2092393133","https://openalex.org/W2112680994","https://openalex.org/W2395962093","https://openalex.org/W3143844809"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W2382290278","https://openalex.org/W2350741829","https://openalex.org/W2530322880"],"abstract_inverted_index":{"A":[0],"new":[1],"epidemiological":[2],"model":[3,61,74,107],"is":[4,62,81,101,114,122],"introduced":[5],"with":[6,67,108,131],"nonlinear":[7],"incidence,":[8],"in":[9,64,128],"which":[10],"the":[11,26,45,73,78,106,119,134],"infected":[12,27],"disease":[13,24,28],"may":[14],"lose":[15],"infectiousness":[16],"and":[17,42,48,68,99],"then":[18,92],"evolves":[19],"to":[20,116,133],"a":[21,34,95,111],"chronic":[22],"noninfectious":[23],"when":[25],"has":[29],"not":[30],"been":[31],"cured":[32],"for":[33],"certain":[35],"time<mml:math":[36,135],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[37,57,87,90,136],"id=\"M1\"><mml:mrow><mml:mi>\u03c4</mml:mi></mml:mrow></mml:math>.":[38],"The":[39,53,60],"existence,":[40],"uniqueness,":[41],"stability":[43],"of":[44],"disease-free":[46,79,120],"equilibrium":[47,50,80,121,130],"endemic":[49,97,129],"are":[51],"discussed.":[52],"basic":[54],"reproductive":[55],"number<mml:math":[56],"id=\"M2\"><mml:mrow><mml:msub><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>is":[58],"given.":[59],"studied":[63],"two":[65],"cases:":[66],"without":[69,75],"time":[70,76,109],"delay.":[71],"For":[72,105],"delay,":[77,110],"globally":[82,102],"asymptotically":[83,103,124],"stable":[84],"provided":[85],"that<mml:math":[86],"id=\"M3\"><mml:msub><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub><mml:mo>\u2264</mml:mo><mml:mn>1</mml:mn></mml:math>;":[88],"if<mml:math":[89],"id=\"M4\"><mml:msub><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub><mml:mo>&gt;</mml:mo><mml:mn>1</mml:mn></mml:math>,":[91],"there":[93],"exists":[94],"unique":[96],"equilibrium,":[98],"it":[100],"stable.":[104,125],"sufficient":[112],"condition":[113],"given":[115],"ensure":[117],"that":[118],"locally":[123],"Hopf":[126],"bifurcation":[127],"respect":[132],"id=\"M5\"><mml:mrow><mml:mi>\u03c4</mml:mi></mml:mrow></mml:math>is":[137],"also":[138],"addressed.":[139]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-08-15T07:11:24.734988","created_date":"2025-10-10T00:00:00"}