{"id":"https://openalex.org/W2062539146","doi":"https://doi.org/10.1155/2013/653080","title":"Oscillation in Pest Population and Its Management: A Mathematical Study","display_name":"Oscillation in Pest Population and Its Management: A Mathematical Study","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2062539146","doi":"https://doi.org/10.1155/2013/653080","mag":"2062539146"},"language":"en","primary_location":{"id":"doi:10.1155/2013/653080","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2013/653080","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2013/653080.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"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":"International Journal of Mathematics and Mathematical Sciences","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/ijmms/2013/653080.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5014056058","display_name":"Samit Bhattacharyya","orcid":"https://orcid.org/0000-0002-7357-7949"},"institutions":[{"id":"https://openalex.org/I223532165","display_name":"University of Utah","ror":"https://ror.org/03r0ha626","country_code":"US","type":"education","lineage":["https://openalex.org/I223532165"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Samit Bhattacharyya","raw_affiliation_strings":["Departments of Mathematics and Biology, University of Utah, Salt Lake City, UT 84112, USA"],"affiliations":[{"raw_affiliation_string":"Departments of Mathematics and Biology, University of Utah, Salt Lake City, UT 84112, USA","institution_ids":["https://openalex.org/I223532165"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5105525757","display_name":"Suma Ghosh","orcid":null},"institutions":[{"id":"https://openalex.org/I223532165","display_name":"University of Utah","ror":"https://ror.org/03r0ha626","country_code":"US","type":"education","lineage":["https://openalex.org/I223532165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Suma Ghosh","raw_affiliation_strings":["Departments of Mathematics and Biology, University of Utah, Salt Lake City, UT 84112, USA"],"affiliations":[{"raw_affiliation_string":"Departments of Mathematics and Biology, University of Utah, Salt Lake City, UT 84112, USA","institution_ids":["https://openalex.org/I223532165"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5014056058"],"corresponding_institution_ids":["https://openalex.org/I223532165"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.14806069,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2013","issue":null,"first_page":"1","last_page":"12"},"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":0.9984999895095825,"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":0.9984999895095825,"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/T11913","display_name":"Animal Ecology and Behavior Studies","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/2303","display_name":"Ecology"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11764","display_name":"Evolution and Genetic Dynamics","score":0.9887999892234802,"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/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.7884521484375},{"id":"https://openalex.org/keywords/pontryagins-minimum-principle","display_name":"Pontryagin's minimum principle","score":0.719432532787323},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6978425979614258},{"id":"https://openalex.org/keywords/predation","display_name":"Predation","score":0.6684767007827759},{"id":"https://openalex.org/keywords/pest-analysis","display_name":"PEST analysis","score":0.6520363092422485},{"id":"https://openalex.org/keywords/oscillation","display_name":"Oscillation (cell signaling)","score":0.5543295741081238},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.5443578958511353},{"id":"https://openalex.org/keywords/integrated-pest-management","display_name":"Integrated pest management","score":0.5397208333015442},{"id":"https://openalex.org/keywords/pest-control","display_name":"Pest control","score":0.5215187668800354},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5117928385734558},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.4392774999141693},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.416952908039093},{"id":"https://openalex.org/keywords/ecology","display_name":"Ecology","score":0.3488348722457886},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.33349454402923584},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2765403687953949},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1829700767993927},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.13561806082725525},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09029129147529602},{"id":"https://openalex.org/keywords/demography","display_name":"Demography","score":0.0842553973197937},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06698444485664368},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.06697958707809448}],"concepts":[{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.7884521484375},{"id":"https://openalex.org/C141803461","wikidata":"https://www.wikidata.org/wiki/Q3491629","display_name":"Pontryagin's minimum principle","level":3,"score":0.719432532787323},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6978425979614258},{"id":"https://openalex.org/C188382862","wikidata":"https://www.wikidata.org/wiki/Q170430","display_name":"Predation","level":2,"score":0.6684767007827759},{"id":"https://openalex.org/C22508944","wikidata":"https://www.wikidata.org/wiki/Q568174","display_name":"PEST analysis","level":2,"score":0.6520363092422485},{"id":"https://openalex.org/C2778439541","wikidata":"https://www.wikidata.org/wiki/Q7106412","display_name":"Oscillation (cell signaling)","level":2,"score":0.5543295741081238},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.5443578958511353},{"id":"https://openalex.org/C123963621","wikidata":"https://www.wikidata.org/wiki/Q525309","display_name":"Integrated pest management","level":2,"score":0.5397208333015442},{"id":"https://openalex.org/C540442320","wikidata":"https://www.wikidata.org/wiki/Q2306047","display_name":"Pest control","level":2,"score":0.5215187668800354},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5117928385734558},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.4392774999141693},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.416952908039093},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.3488348722457886},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.33349454402923584},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2765403687953949},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1829700767993927},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.13561806082725525},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09029129147529602},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0842553973197937},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06698444485664368},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.06697958707809448},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"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/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2013/653080","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2013/653080","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2013/653080.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"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":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:jijmms:653080","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/IJMMS/2013/653080.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:261a930ee43b4966bf1487ca1063c35c","is_oa":true,"landing_page_url":"https://doaj.org/article/261a930ee43b4966bf1487ca1063c35c","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":"International Journal of Mathematics and Mathematical Sciences, Vol 2013 (2013)","raw_type":"article"},{"id":"pmh:oai:hindawi.com:10.1155/2013/653080","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/653080","pdf_url":null,"source":{"id":"https://openalex.org/S4306400340","display_name":"Hindawi Journal of Chemistry (Hindawi)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210126990","host_organization_name":"Hindawi (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210126990"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Research Article"}],"best_oa_location":{"id":"doi:10.1155/2013/653080","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2013/653080","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2013/653080.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"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":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2062539146.pdf","grobid_xml":"https://content.openalex.org/works/W2062539146.grobid-xml"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W1580632737","https://openalex.org/W1972444473","https://openalex.org/W1972573280","https://openalex.org/W1977522998","https://openalex.org/W1978610849","https://openalex.org/W1979719927","https://openalex.org/W1996584929","https://openalex.org/W1999122980","https://openalex.org/W2004216864","https://openalex.org/W2015135859","https://openalex.org/W2018591369","https://openalex.org/W2020317189","https://openalex.org/W2021468335","https://openalex.org/W2030008827","https://openalex.org/W2038220607","https://openalex.org/W2054381095","https://openalex.org/W2057634720","https://openalex.org/W2062247832","https://openalex.org/W2064116826","https://openalex.org/W2065016591","https://openalex.org/W2065980103","https://openalex.org/W2067167672","https://openalex.org/W2077831060","https://openalex.org/W2090347294","https://openalex.org/W2101971786","https://openalex.org/W2122532789","https://openalex.org/W2135837912","https://openalex.org/W2322615388","https://openalex.org/W2323358873","https://openalex.org/W2334458390","https://openalex.org/W2344037661","https://openalex.org/W4293079218"],"related_works":["https://openalex.org/W2064511239","https://openalex.org/W2411482260","https://openalex.org/W3176911518","https://openalex.org/W2509510891","https://openalex.org/W2112292936","https://openalex.org/W4312670739","https://openalex.org/W2016422648","https://openalex.org/W2380402090","https://openalex.org/W2917824400","https://openalex.org/W2582212047"],"abstract_inverted_index":{"We":[0,51],"study":[1],"the":[2,21,36,42,45,49,54,58,64,70,73,87,94,98],"role":[3],"of":[4,9,23,44,48,57,90,97],"predation":[5,29],"dynamics":[6],"in":[7,12,28,32,72],"oscillation":[8,47],"pest":[10,17,99],"population":[11],"insect":[13],"ecology.":[14],"A":[15],"two-dimensional":[16],"control":[18,59,79,100],"model":[19,101],"(under":[20],"use":[22],"insecticides)":[24],"with":[25],"time":[26],"delay":[27,71],"is":[30,75,81],"considered":[31],"this":[33],"paper.":[34],"By":[35],"Hopf":[37],"bifurcation":[38],"theory,":[39],"we":[40,62,85],"prove":[41],"existence":[43],"stable":[46],"system.":[50],"also":[52],"consider":[53],"economic":[55],"viability":[56],"process.":[60],"First":[61],"improve":[63],"Pontryagin":[65],"maximum":[66],"principle":[67],"(PMP)":[68],"where":[69],"system":[74],"sufficiently":[76],"small":[77],"and":[78,83],"function":[80],"linear,":[82],"then":[84],"apply":[86],"improved":[88],"version":[89],"PMP":[91],"to":[92],"perform":[93],"optimal":[95],"analysis":[96],"as":[102],"a":[103],"special":[104],"case.":[105]},"counts_by_year":[],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}