{"id":"https://openalex.org/W3005810440","doi":"https://doi.org/10.1142/s021812742050008x","title":"Global Dynamics and Rich Sliding Motion in an Avian-Only Filippov System in Combating Avian Influenza","display_name":"Global Dynamics and Rich Sliding Motion in an Avian-Only Filippov System in Combating Avian Influenza","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3005810440","doi":"https://doi.org/10.1142/s021812742050008x","mag":"3005810440"},"language":"en","primary_location":{"id":"doi:10.1142/s021812742050008x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021812742050008x","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","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/A5061686627","display_name":"Youping Yang","orcid":"https://orcid.org/0000-0002-0897-2125"},"institutions":[{"id":"https://openalex.org/I28006308","display_name":"Shandong Normal University","ror":"https://ror.org/01wy3h363","country_code":"CN","type":"education","lineage":["https://openalex.org/I28006308"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Youping Yang","raw_affiliation_strings":["School of Mathematics and Statistics, Shandong Normal University, Jinan 250014, P. R. China"],"raw_orcid":"https://orcid.org/0000-0002-0897-2125","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Shandong Normal University, Jinan 250014, P. R. China","institution_ids":["https://openalex.org/I28006308"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101604107","display_name":"Lingjun Wang","orcid":"https://orcid.org/0000-0002-1431-3214"},"institutions":[{"id":"https://openalex.org/I28006308","display_name":"Shandong Normal University","ror":"https://ror.org/01wy3h363","country_code":"CN","type":"education","lineage":["https://openalex.org/I28006308"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lingjun Wang","raw_affiliation_strings":["School of Mathematics and Statistics, Shandong Normal University, Jinan 250014, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Shandong Normal University, Jinan 250014, P. R. China","institution_ids":["https://openalex.org/I28006308"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5061686627"],"corresponding_institution_ids":["https://openalex.org/I28006308"],"apc_list":null,"apc_paid":null,"fwci":1.6178,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.84479988,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"30","issue":"01","first_page":"2050008","last_page":"2050008"},"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/T10410","display_name":"COVID-19 epidemiological studies","score":0.9857000112533569,"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/T11764","display_name":"Evolution and Genetic Dynamics","score":0.9833999872207642,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/culling","display_name":"Culling","score":0.8829115033149719},{"id":"https://openalex.org/keywords/influenza-a-virus-subtype-h5n1","display_name":"Influenza A virus subtype H5N1","score":0.6352747678756714},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.606904149055481},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.5100696682929993},{"id":"https://openalex.org/keywords/periodic-orbits","display_name":"Periodic orbits","score":0.4770847260951996},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.45238566398620605},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4190523326396942},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3788329064846039},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.301371693611145},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2858934998512268},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.2616181969642639},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.21812483668327332},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1937844455242157},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.1376209855079651},{"id":"https://openalex.org/keywords/ecology","display_name":"Ecology","score":0.12611347436904907},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11753273010253906},{"id":"https://openalex.org/keywords/virology","display_name":"Virology","score":0.07331728935241699},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.06427475810050964}],"concepts":[{"id":"https://openalex.org/C52991690","wikidata":"https://www.wikidata.org/wiki/Q1740042","display_name":"Culling","level":3,"score":0.8829115033149719},{"id":"https://openalex.org/C519248777","wikidata":"https://www.wikidata.org/wiki/Q160122","display_name":"Influenza A virus subtype H5N1","level":3,"score":0.6352747678756714},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.606904149055481},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.5100696682929993},{"id":"https://openalex.org/C2984157986","wikidata":"https://www.wikidata.org/wiki/Q3884964","display_name":"Periodic orbits","level":2,"score":0.4770847260951996},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.45238566398620605},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4190523326396942},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3788329064846039},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.301371693611145},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2858934998512268},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.2616181969642639},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.21812483668327332},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1937844455242157},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.1376209855079651},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.12611347436904907},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11753273010253906},{"id":"https://openalex.org/C159047783","wikidata":"https://www.wikidata.org/wiki/Q7215","display_name":"Virology","level":1,"score":0.07331728935241699},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.06427475810050964},{"id":"https://openalex.org/C194775826","wikidata":"https://www.wikidata.org/wiki/Q209542","display_name":"Herd","level":2,"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/C2522874641","wikidata":"https://www.wikidata.org/wiki/Q808","display_name":"Virus","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s021812742050008x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021812742050008x","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8145632660","display_name":null,"funder_award_id":"11401349","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"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1069604013","https://openalex.org/W1464648606","https://openalex.org/W1552277675","https://openalex.org/W1964885780","https://openalex.org/W1969569606","https://openalex.org/W1980675857","https://openalex.org/W2000811678","https://openalex.org/W2013300252","https://openalex.org/W2033784663","https://openalex.org/W2046199823","https://openalex.org/W2047449028","https://openalex.org/W2069424479","https://openalex.org/W2093594377","https://openalex.org/W2093830674","https://openalex.org/W2104574761","https://openalex.org/W2112571783","https://openalex.org/W2112680994","https://openalex.org/W2115714850","https://openalex.org/W2136232606","https://openalex.org/W2137101191","https://openalex.org/W2148301044","https://openalex.org/W2168908840","https://openalex.org/W2261020467","https://openalex.org/W2555810295","https://openalex.org/W2752301589","https://openalex.org/W2769629524","https://openalex.org/W2778131453","https://openalex.org/W2794073195","https://openalex.org/W3011989511","https://openalex.org/W4293078920"],"related_works":["https://openalex.org/W4290830225","https://openalex.org/W1753279876","https://openalex.org/W1985751198","https://openalex.org/W2114736649","https://openalex.org/W3198471226","https://openalex.org/W2157091596","https://openalex.org/W2781684204","https://openalex.org/W2588662269","https://openalex.org/W2029521287","https://openalex.org/W2143428368"],"abstract_inverted_index":{"Culling":[0],"birds":[1,48,63,69,78,84,203],"has":[2],"always":[3],"been":[4],"an":[5,52],"effective":[6],"method":[7],"to":[8,126,140],"control":[9,39],"the":[10,44,65,80,98,102,111,114,141,147,166,186,194,199],"spread":[11],"of":[12,24,46,67,82,97,106,109,113,185,201],"avian":[13],"influenza.":[14],"Here,":[15],"we":[16,60,75,164],"introduce":[17],"a":[18,86,206,212],"Filippov":[19,99],"avian-only":[20],"model":[21,32,136],"with":[22,121,124],"culling":[23],"both":[25],"susceptible":[26,77,83,87,167,187],"and":[27,104,117,168,175,188],"infected":[28,47,53,62,68,169,189,202],"birds.":[29],"The":[30,93],"Filippov-type":[31],"is":[33,41,49,130,133],"formulated":[34],"by":[35],"considering":[36],"that":[37,135,144,182],"no":[38],"strategy":[40],"taken":[42],"if":[43,79],"number":[45,66,81,200],"less":[50],"than":[51],"threshold":[54,88,170,190,195,208],"level":[55,89,209],"[Formula:":[56,71,90,150,155,160,172,176],"see":[57,72,91,151,156,161,173,177],"text];":[58,73],"further,":[59],"cull":[61,76],"once":[64],"exceeds":[70,85],"meanwhile,":[74],"text].":[92,178],"global":[94],"dynamical":[95],"behavior":[96],"system,":[100],"including":[101],"existence":[103,112],"stability":[105],"various":[107],"types":[108],"equilibria,":[110],"sliding":[115,128],"mode":[116],"its":[118],"dynamics,":[119],"together":[120],"bifurcation":[122],"analyses":[123],"regard":[125],"local":[127],"bifurcations,":[129],"investigated.":[131],"It":[132],"shown":[134],"solutions":[137],"ultimately":[138],"converge":[139],"positive":[142],"equilibrium":[143],"lies":[145],"in":[146],"region":[148],"above":[149],"text],":[152,157,162],"or":[153,158,210],"below":[154,205],"on":[159,193],"as":[163],"vary":[165],"values":[171,191],"text]":[174],"Our":[179],"results":[180],"indicate":[181],"proper":[183],"combinations":[184],"based":[192],"policy":[196],"can":[197],"maintain":[198],"either":[204],"certain":[207],"at":[211],"previously":[213],"given":[214],"level.":[215]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1}],"updated_date":"2026-05-11T08:15:01.531666","created_date":"2025-10-10T00:00:00"}
