{"id":"https://openalex.org/W2133110156","doi":"https://doi.org/10.1155/2014/168571","title":"Dynamical Behavior for a Food-Chain Model with Impulsive Harvest and Digest Delay","display_name":"Dynamical Behavior for a Food-Chain Model with Impulsive Harvest and Digest Delay","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2133110156","doi":"https://doi.org/10.1155/2014/168571","mag":"2133110156"},"language":"en","primary_location":{"id":"doi:10.1155/2014/168571","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/168571","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/168571.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"],"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":"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/2014/168571.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5087441398","display_name":"Baodan Tian","orcid":"https://orcid.org/0000-0003-1109-958X"},"institutions":[{"id":"https://openalex.org/I1297991670","display_name":"Southwest University of Science and Technology","ror":"https://ror.org/04d996474","country_code":"CN","type":"education","lineage":["https://openalex.org/I1297991670"]},{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Baodan Tian","raw_affiliation_strings":["School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731, China","School of Science, Southwest University of Science and Technology, Mianyang 621010, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731, China","institution_ids":["https://openalex.org/I150229711"]},{"raw_affiliation_string":"School of Science, Southwest University of Science and Technology, Mianyang 621010, China","institution_ids":["https://openalex.org/I1297991670"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034087989","display_name":"Shouming Zhong","orcid":"https://orcid.org/0000-0002-0334-6117"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shouming Zhong","raw_affiliation_strings":["School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731, China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077413146","display_name":"Ning Chen","orcid":"https://orcid.org/0000-0002-3654-7898"},"institutions":[{"id":"https://openalex.org/I1297991670","display_name":"Southwest University of Science and Technology","ror":"https://ror.org/04d996474","country_code":"CN","type":"education","lineage":["https://openalex.org/I1297991670"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ning Chen","raw_affiliation_strings":["School of Science, Southwest University of Science and Technology, Mianyang 621010, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Science, Southwest University of Science and Technology, Mianyang 621010, China","institution_ids":["https://openalex.org/I1297991670"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069321666","display_name":"Yanhong Qiu","orcid":"https://orcid.org/0000-0003-0921-5254"},"institutions":[{"id":"https://openalex.org/I1297991670","display_name":"Southwest University of Science and Technology","ror":"https://ror.org/04d996474","country_code":"CN","type":"education","lineage":["https://openalex.org/I1297991670"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanhong Qiu","raw_affiliation_strings":["School of Science, Southwest University of Science and Technology, Mianyang 621010, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Science, Southwest University of Science and Technology, Mianyang 621010, China","institution_ids":["https://openalex.org/I1297991670"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5087441398"],"corresponding_institution_ids":["https://openalex.org/I1297991670","https://openalex.org/I150229711"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.3246,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.70538294,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"2014","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":0.9997000098228455,"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":0.9997000098228455,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9778000116348267,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.954200029373169,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/computer-science","display_name":"Computer science","score":0.5555270910263062},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.5486666560173035},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.5253264904022217},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.45632246136665344},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43205052614212036},{"id":"https://openalex.org/keywords/chain","display_name":"Chain (unit)","score":0.4179172217845917},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32210811972618103},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16206493973731995},{"id":"https://openalex.org/keywords/demography","display_name":"Demography","score":0.1517806053161621},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10229608416557312}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5555270910263062},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.5486666560173035},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.5253264904022217},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45632246136665344},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43205052614212036},{"id":"https://openalex.org/C199185054","wikidata":"https://www.wikidata.org/wiki/Q552299","display_name":"Chain (unit)","level":2,"score":0.4179172217845917},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32210811972618103},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16206493973731995},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.1517806053161621},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10229608416557312},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2014/168571","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/168571","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/168571.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"],"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":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1425306003","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.jam/1425306003","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:168571","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2014/168571.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:af6d856ea8c84d99a893043b87ec7554","is_oa":true,"landing_page_url":"https://doaj.org/article/af6d856ea8c84d99a893043b87ec7554","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:10.1155/2014/168571","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/168571","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/168571.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"],"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":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.7200000286102295,"id":"https://metadata.un.org/sdg/2","display_name":"Zero hunger"}],"awards":[{"id":"https://openalex.org/G251502891","display_name":null,"funder_award_id":"41072235","funder_id":"https://openalex.org/F4320322970","funder_display_name":"Education Department of Sichuan Province"},{"id":"https://openalex.org/G434326499","display_name":null,"funder_award_id":"51349011","funder_id":"https://openalex.org/F4320322970","funder_display_name":"Education Department of Sichuan Province"},{"id":"https://openalex.org/G5991641608","display_name":null,"funder_award_id":"51349011","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6773943950","display_name":null,"funder_award_id":"14ZB0115","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6803425258","display_name":null,"funder_award_id":"14ZB0115","funder_id":"https://openalex.org/F4320322970","funder_display_name":"Education Department of Sichuan Province"},{"id":"https://openalex.org/G7748343057","display_name":null,"funder_award_id":"11ZB192","funder_id":"https://openalex.org/F4320322970","funder_display_name":"Education Department of Sichuan Province"},{"id":"https://openalex.org/G8565911888","display_name":null,"funder_award_id":"11ZB192","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/F4320322970","display_name":"Education Department of Sichuan Province","ror":"https://ror.org/05s1c4z27"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2133110156.pdf","grobid_xml":"https://content.openalex.org/works/W2133110156.grobid-xml"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W580296679","https://openalex.org/W1586658033","https://openalex.org/W1980820661","https://openalex.org/W1989635505","https://openalex.org/W1996906186","https://openalex.org/W2012141090","https://openalex.org/W2024689717","https://openalex.org/W2025652492","https://openalex.org/W2028487494","https://openalex.org/W2032487189","https://openalex.org/W2038731027","https://openalex.org/W2050240106","https://openalex.org/W2054246696","https://openalex.org/W2077074741","https://openalex.org/W2094331673","https://openalex.org/W2098116515","https://openalex.org/W2178040286"],"related_works":["https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2317200988","https://openalex.org/W2052122378","https://openalex.org/W2544423928","https://openalex.org/W2053286651","https://openalex.org/W2181743346","https://openalex.org/W2187401768","https://openalex.org/W2181413294","https://openalex.org/W2989452537"],"abstract_inverted_index":{"We":[0],"investigate":[1],"the":[2,15,19,26,37,57,64,69,76,84,102,105,112,116],"dynamics":[3],"of":[4,97,104,115],"a":[5,31,46,95],"food-chain":[6,117],"system":[7,70],"with":[8],"digest":[9,106],"delay":[10,38,107],"and":[11,30,54,68,108],"periodic":[12,48,109],"harvesting":[13,85,110],"for":[14],"prey.":[16],"By":[17],"using":[18],"comparison":[20],"theorem,":[21],"small":[22],"amplitude":[23],"skills":[24],"in":[25,36],"impulsive":[27],"differential":[28,39],"equation,":[29,40],"special":[32],"qualitative":[33],"analysis":[34],"method":[35],"we":[41,93],"prove":[42],"that":[43,56],"there":[44],"exists":[45],"predators-eradication":[47],"solution":[49],"which":[50],"is":[51],"globally":[52],"attractive":[53],"show":[55],"pest":[58],"population":[59],"can":[60,71],"be":[61,72],"controlled":[62],"under":[63],"economic":[65],"threshold":[66],"level":[67],"uniformly":[73],"permanent":[74],"when":[75],"harvest":[77],"period<mml:math":[78],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[79,87],"id=\"M1\"><mml:mrow><mml:mi>T</mml:mi></mml:mrow></mml:math>is":[80],"long":[81],"enough":[82],"or":[83],"rate<mml:math":[86],"id=\"M2\"><mml:mrow><mml:mi>\u03b4</mml:mi></mml:mrow></mml:math>is":[88],"not":[89],"too":[90],"large.":[91],"Furthermore,":[92],"perform":[94],"series":[96],"numerical":[98],"simulations":[99],"to":[100],"display":[101],"effects":[103],"on":[111],"dynamic":[113],"behavior":[114],"system.":[118]},"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
