{"id":"https://openalex.org/W1977646672","doi":"https://doi.org/10.1155/2014/803764","title":"Periodic Solutions and Homoclinic Bifurcations of Two Predator-Prey Systems with Nonmonotonic Functional Response and Impulsive Harvesting","display_name":"Periodic Solutions and Homoclinic Bifurcations of Two Predator-Prey Systems with Nonmonotonic Functional Response and Impulsive Harvesting","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W1977646672","doi":"https://doi.org/10.1155/2014/803764","mag":"1977646672"},"language":"en","primary_location":{"id":"doi:10.1155/2014/803764","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/803764","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/803764.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/2014/803764.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5085923039","display_name":"Mingzhan Huang","orcid":"https://orcid.org/0000-0002-7662-7729"},"institutions":[{"id":"https://openalex.org/I130750295","display_name":"Xinyang Normal University","ror":"https://ror.org/0190x2a66","country_code":"CN","type":"education","lineage":["https://openalex.org/I130750295"]},{"id":"https://openalex.org/I4210114891","display_name":"Institute of Forest Resource Information Techniques","ror":"https://ror.org/01h5d6x15","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210114891","https://openalex.org/I4210128615","https://openalex.org/I4210134523"]},{"id":"https://openalex.org/I4210128615","display_name":"Chinese Academy of Forestry","ror":"https://ror.org/0360dkv71","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210128615","https://openalex.org/I4210134523"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Mingzhan Huang","raw_affiliation_strings":["College of Mathematics and Information Science, Xinyang Normal University, Xinyang 464000, China","Research Institute of Forest Resource Information Techniques, Chinese Academy of Forestry, Beijing 100091, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Information Science, Xinyang Normal University, Xinyang 464000, China","institution_ids":["https://openalex.org/I130750295"]},{"raw_affiliation_string":"Research Institute of Forest Resource Information Techniques, Chinese Academy of Forestry, Beijing 100091, China","institution_ids":["https://openalex.org/I4210114891","https://openalex.org/I4210128615"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011765589","display_name":"Xinyu Song","orcid":"https://orcid.org/0000-0002-3861-1320"},"institutions":[{"id":"https://openalex.org/I130750295","display_name":"Xinyang Normal University","ror":"https://ror.org/0190x2a66","country_code":"CN","type":"education","lineage":["https://openalex.org/I130750295"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xinyu Song","raw_affiliation_strings":["College of Mathematics and Information Science, Xinyang Normal University, Xinyang 464000, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Information Science, Xinyang Normal University, Xinyang 464000, China","institution_ids":["https://openalex.org/I130750295"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5011765589"],"corresponding_institution_ids":["https://openalex.org/I130750295"],"apc_list":{"value":1130,"currency":"USD","value_usd":1130},"apc_paid":{"value":1130,"currency":"USD","value_usd":1130},"fwci":0.0,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.10982418,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"2014","issue":null,"first_page":"1","last_page":"11"},"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9986000061035156,"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"}},{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9926999807357788,"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/homoclinic-orbit","display_name":"Homoclinic orbit","score":0.8891808986663818},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.734090268611908},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.569825291633606},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5633202195167542},{"id":"https://openalex.org/keywords/homoclinic-bifurcation","display_name":"Homoclinic bifurcation","score":0.511216402053833},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.48861032724380493},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4705422520637512},{"id":"https://openalex.org/keywords/stability-theory","display_name":"Stability theory","score":0.4148057997226715},{"id":"https://openalex.org/keywords/bifurcation-theory","display_name":"Bifurcation theory","score":0.41173693537712097},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3987322151660919},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3972591161727905},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2841723561286926},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15467652678489685},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12962543964385986},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.10810312628746033}],"concepts":[{"id":"https://openalex.org/C200581526","wikidata":"https://www.wikidata.org/wiki/Q690494","display_name":"Homoclinic orbit","level":4,"score":0.8891808986663818},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.734090268611908},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.569825291633606},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5633202195167542},{"id":"https://openalex.org/C155405617","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Homoclinic bifurcation","level":5,"score":0.511216402053833},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.48861032724380493},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4705422520637512},{"id":"https://openalex.org/C41949839","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theory","level":3,"score":0.4148057997226715},{"id":"https://openalex.org/C85075877","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Bifurcation theory","level":4,"score":0.41173693537712097},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3987322151660919},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3972591161727905},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2841723561286926},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15467652678489685},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12962543964385986},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.10810312628746033},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2014/803764","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/803764","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/803764.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/1425305639","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.jam/1425305639","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:803764","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2014/803764.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:0b7985dbfb3a4cc2977d3e8407f897a3","is_oa":true,"landing_page_url":"https://doaj.org/article/0b7985dbfb3a4cc2977d3e8407f897a3","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:10.1155/2014/803764","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/803764","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/803764.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":[],"awards":[{"id":"https://openalex.org/G2631853025","display_name":null,"funder_award_id":"104200510011","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3027794143","display_name":null,"funder_award_id":"11171284","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G397841680","display_name":"\u6c34\u5e93\u6c34\u8d28\u751f\u7269\u6cbb\u7406\u7684\u7cfb\u7edf\u751f\u6001\u5b66\u6a21\u578b\u7814\u7a76","funder_award_id":"11371306","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5631480978","display_name":null,"funder_award_id":"2010IRTSTHN006","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6185359168","display_name":null,"funder_award_id":"122300410034","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7904985153","display_name":null,"funder_award_id":"11301453","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/F4320322878","display_name":"Henan University","ror":"https://ror.org/003xyzq10"},{"id":"https://openalex.org/F4320327776","display_name":"Innovation Scientists and Technicians Troop Construction Projects of Henan Province","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1977646672.pdf","grobid_xml":"https://content.openalex.org/works/W1977646672.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W1970961543","https://openalex.org/W1971188387","https://openalex.org/W1984343531","https://openalex.org/W1991882943","https://openalex.org/W1997254963","https://openalex.org/W2026136864","https://openalex.org/W2038116325","https://openalex.org/W2043607789","https://openalex.org/W2056695820","https://openalex.org/W2086851860","https://openalex.org/W2140885475","https://openalex.org/W2144517951","https://openalex.org/W2168587347","https://openalex.org/W2378967236","https://openalex.org/W4234127854","https://openalex.org/W4296588043"],"related_works":["https://openalex.org/W2010606039","https://openalex.org/W2890492950","https://openalex.org/W3115184012","https://openalex.org/W352136236","https://openalex.org/W1999123830","https://openalex.org/W2042800579","https://openalex.org/W944345475","https://openalex.org/W2045215015","https://openalex.org/W2356323067","https://openalex.org/W2169326687"],"abstract_inverted_index":{"Two":[0],"predator-prey":[1],"models":[2],"with":[3],"nonmonotonic":[4],"functional":[5],"response":[6],"and":[7,13,29,35],"state-dependent":[8],"impulsive":[9],"harvesting":[10,50],"are":[11,83],"formulated":[12],"analyzed.":[14],"By":[15],"using":[16],"the":[17,26,32,37,44,49,60,64,71,74,87],"geometry":[18],"theory":[19,75],"of":[20,31,40,43,63,73,76],"semicontinuous":[21],"dynamic":[22,38],"system,":[23],"we":[24,57],"obtain":[25],"existence,":[27],"uniqueness,":[28],"stability":[30],"periodic":[33],"solution":[34],"analyse":[36],"phenomenon":[39],"homoclinic":[41,61],"bifurcation":[42,62],"first":[45],"system":[46,66],"by":[47],"choosing":[48],"rate":[51],"\u03b2":[52],"as":[53],"control":[54],"parameter.":[55],"Besides,":[56],"also":[58],"study":[59],"second":[65],"about":[67],"parameter":[68],"\u03b4":[69],"on":[70],"basis":[72],"rotated":[77],"vector":[78],"field.":[79],"Finally,":[80],"numerical":[81],"simulations":[82],"presented":[84],"to":[85],"illustrate":[86],"results.":[88]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}