{"id":"https://openalex.org/W2951192276","doi":"https://doi.org/10.1155/2019/6509867","title":"The State\u2010Dependent Impulsive Model with Action Threshold Depending on the Pest Density and Its Changing Rate","display_name":"The State\u2010Dependent Impulsive Model with Action Threshold Depending on the Pest Density and Its Changing Rate","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2951192276","doi":"https://doi.org/10.1155/2019/6509867","mag":"2951192276"},"language":"en","primary_location":{"id":"doi:10.1155/2019/6509867","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/6509867","pdf_url":"https://downloads.hindawi.com/journals/complexity/2019/6509867.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/2019/6509867.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102760253","display_name":"Ihsan Ullah Khan","orcid":"https://orcid.org/0000-0002-2054-2195"},"institutions":[{"id":"https://openalex.org/I88830068","display_name":"Shaanxi Normal University","ror":"https://ror.org/0170z8493","country_code":"CN","type":"education","lineage":["https://openalex.org/I88830068"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ihsan Ullah Khan","raw_affiliation_strings":["School of Mathematics and Information Science, Shaanxi Normal University, Xi' an 710062, China","School of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Information Science, Shaanxi Normal University, Xi' an 710062, China","institution_ids":["https://openalex.org/I88830068"]},{"raw_affiliation_string":"School of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, China","institution_ids":["https://openalex.org/I88830068"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041520845","display_name":"Sanyi Tang","orcid":"https://orcid.org/0000-0002-3324-746X"},"institutions":[{"id":"https://openalex.org/I88830068","display_name":"Shaanxi Normal University","ror":"https://ror.org/0170z8493","country_code":"CN","type":"education","lineage":["https://openalex.org/I88830068"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Sanyi Tang","raw_affiliation_strings":["School of Mathematics and Information Science, Shaanxi Normal University, Xi' an 710062, China","School of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Information Science, Shaanxi Normal University, Xi' an 710062, China","institution_ids":["https://openalex.org/I88830068"]},{"raw_affiliation_string":"School of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, China","institution_ids":["https://openalex.org/I88830068"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022759446","display_name":"Biao Tang","orcid":"https://orcid.org/0000-0002-0418-5773"},"institutions":[{"id":"https://openalex.org/I192455969","display_name":"York University","ror":"https://ror.org/05fq50484","country_code":"CA","type":"education","lineage":["https://openalex.org/I192455969"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Biao Tang","raw_affiliation_strings":["Laboratory for Industrial and Applied Mathematics (LIAM), York University, Toronto, Canada M3J","Laboratory for Industrial and Applied Mathematics (LIAM), York University, Toronto, Canada"],"affiliations":[{"raw_affiliation_string":"Laboratory for Industrial and Applied Mathematics (LIAM), York University, Toronto, Canada M3J","institution_ids":["https://openalex.org/I192455969"]},{"raw_affiliation_string":"Laboratory for Industrial and Applied Mathematics (LIAM), York University, Toronto, Canada","institution_ids":["https://openalex.org/I192455969"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5022759446"],"corresponding_institution_ids":["https://openalex.org/I192455969"],"apc_list":{"value":2300,"currency":"USD","value_usd":2300},"apc_paid":{"value":2300,"currency":"USD","value_usd":2300},"fwci":1.1102,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.79309103,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"2019","issue":"1","first_page":null,"last_page":null},"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":0.9972000122070312,"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":0.9972000122070312,"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/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9922999739646912,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9919999837875366,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/action","display_name":"Action (physics)","score":0.6318108439445496},{"id":"https://openalex.org/keywords/pest-analysis","display_name":"PEST analysis","score":0.5897670984268188},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4770445227622986},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.38338470458984375},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3709801435470581},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19440197944641113},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.14981549978256226},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.08307546377182007},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.05496162176132202},{"id":"https://openalex.org/keywords/botany","display_name":"Botany","score":0.05346938967704773}],"concepts":[{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.6318108439445496},{"id":"https://openalex.org/C22508944","wikidata":"https://www.wikidata.org/wiki/Q568174","display_name":"PEST analysis","level":2,"score":0.5897670984268188},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4770445227622986},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.38338470458984375},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3709801435470581},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19440197944641113},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.14981549978256226},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.08307546377182007},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.05496162176132202},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.05346938967704773}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2019/6509867","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/6509867","pdf_url":"https://downloads.hindawi.com/journals/complexity/2019/6509867.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:6509867","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/8503/2019/6509867.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:8fee1b7cb3164c6ab65155a3fba7aca5","is_oa":true,"landing_page_url":"https://doaj.org/article/8fee1b7cb3164c6ab65155a3fba7aca5","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 2019 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2019/6509867","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/6509867","pdf_url":"https://downloads.hindawi.com/journals/complexity/2019/6509867.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/15","display_name":"Life in Land","score":0.46000000834465027}],"awards":[{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2376276132","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G2887146651","display_name":null,"funder_award_id":"2019010","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3082032296","display_name":null,"funder_award_id":"GK201901008","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4513732839","display_name":null,"funder_award_id":"61772017","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5169721444","display_name":null,"funder_award_id":"201901","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5827337967","display_name":null,"funder_award_id":"NSFCs","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6273157865","display_name":null,"funder_award_id":"GK201901008","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G7922954559","display_name":null,"funder_award_id":"K201901","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8510984973","display_name":null,"funder_award_id":"11631012","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/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2951192276.pdf","grobid_xml":"https://content.openalex.org/works/W2951192276.grobid-xml"},"referenced_works_count":40,"referenced_works":["https://openalex.org/W572972466","https://openalex.org/W580296679","https://openalex.org/W1462505468","https://openalex.org/W1487094975","https://openalex.org/W1506002486","https://openalex.org/W1971762915","https://openalex.org/W1989024095","https://openalex.org/W1994234306","https://openalex.org/W1999799128","https://openalex.org/W2022317697","https://openalex.org/W2025010125","https://openalex.org/W2029125428","https://openalex.org/W2030453979","https://openalex.org/W2035369819","https://openalex.org/W2044922574","https://openalex.org/W2050240106","https://openalex.org/W2050829846","https://openalex.org/W2055039726","https://openalex.org/W2055755903","https://openalex.org/W2057606829","https://openalex.org/W2063670156","https://openalex.org/W2068728923","https://openalex.org/W2068798878","https://openalex.org/W2074529086","https://openalex.org/W2078253545","https://openalex.org/W2090093537","https://openalex.org/W2132246068","https://openalex.org/W2158889774","https://openalex.org/W2164958702","https://openalex.org/W2236115227","https://openalex.org/W2284311823","https://openalex.org/W2477812623","https://openalex.org/W2502911278","https://openalex.org/W2504720635","https://openalex.org/W2537855496","https://openalex.org/W2555940010","https://openalex.org/W2606076634","https://openalex.org/W2625190706","https://openalex.org/W2957617864","https://openalex.org/W4238267551"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793","https://openalex.org/W4238204885"],"abstract_inverted_index":{"Whether":[0],"the":[1,13,35,43,50,65,82,92,98,104,113,117,122,132,156,195],"integrated":[2],"control":[3,37],"measures":[4,38],"are":[5,147],"applied":[6],"or":[7,202],"not":[8,10],"depends":[9],"only":[11,40],"on":[12,21,42,64,155],"current":[14,23],"density":[15,67,158],"of":[16,52,88,94,121,134,138,151],"pest":[17,44,66,157],"population,":[18],"but":[19],"also":[20],"its":[22,69,74,160],"growth":[24],"rate,":[25],"and":[26,31,68,72,85,119,126,136,159,166],"this":[27,186],"undoubtedly":[28],"brings":[29],"challenges":[30],"new":[32,79,169],"ideas":[33],"to":[34,111],"state":[36],"that":[39],"rely":[41],"density.":[45],"To":[46],"address":[47],"this,":[48],"utilizing":[49],"tactics":[51],"IPM,":[53],"we":[54],"constructed":[55,102],"a":[56,190],"Lotka\u2010Volterra":[57],"predator\u2010prey":[58],"system":[59],"with":[60,175,198],"action":[61,152],"threshold":[62,153],"depending":[63,154],"changing":[70,161],"rate":[71,162],"examined":[73],"dynamical":[75],"behavior.":[76],"We":[77],"present":[78],"criteria":[80],"guaranteeing":[81],"existence,":[83],"uniqueness,":[84],"global":[86],"stability":[87,120],"periodic":[89,124,129,145],"solutions.":[90,130],"With":[91],"help":[93,109],"Lambert":[95],"W":[96],"function,":[97],"Poincar\u00e9":[99],"map":[100],"is":[101,163],"for":[103,116],"phase":[105,200],"set,":[106],"which":[107],"can":[108,167,188],"us":[110],"provide":[112],"satisfactory":[114],"conditions":[115],"existence":[118,133],"semitrivial":[123],"solution":[125],"interior":[127],"order\u20101":[128],"Furthermore,":[131],"order\u20102":[135],"nonexistence":[137],"order\u2010":[139],"k":[140,142],"(":[141],"\u2265":[143],"3)":[144],"solutions":[146],"discussed.":[148],"The":[149,181],"idea":[150],"more":[164],"general":[165],"generate":[168],"remarkable":[170],"directions":[171],"as":[172],"well":[173],"compared":[174],"those":[176],"represented":[177],"in":[178,185,193],"earlier":[179],"studies.":[180],"analytical":[182],"techniques":[183],"developed":[184],"paper":[187],"play":[189],"significant":[191],"role":[192],"analyzing":[194],"impulsive":[196,203],"models":[197],"complex":[199],"set":[201],"set.":[204]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-18T07:56:08.524223","created_date":"2025-10-10T00:00:00"}