{"id":"https://openalex.org/W1982054847","doi":"https://doi.org/10.1155/2014/592543","title":"Existence and Uniqueness of Positive Periodic Solutions for a Delayed Predator-Prey Model with Dispersion and Impulses","display_name":"Existence and Uniqueness of Positive Periodic Solutions for a Delayed Predator-Prey Model with Dispersion and Impulses","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W1982054847","doi":"https://doi.org/10.1155/2014/592543","mag":"1982054847"},"language":"en","primary_location":{"id":"doi:10.1155/2014/592543","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/592543","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/592543.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/2014/592543.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074730600","display_name":"Zhenguo Luo","orcid":"https://orcid.org/0000-0002-3500-7152"},"institutions":[{"id":"https://openalex.org/I149735164","display_name":"Hengyang Normal University","ror":"https://ror.org/006bvjm48","country_code":"CN","type":"education","lineage":["https://openalex.org/I149735164"]},{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhenguo Luo","raw_affiliation_strings":["China Department of Mathematics, National University of Defense Technology, Changsha, Hunan 410073, China","Department of Mathematics, Hengyang Normal University, Hengyang, Hunan 421008, China"],"raw_orcid":"https://orcid.org/0000-0002-3500-7152","affiliations":[{"raw_affiliation_string":"China Department of Mathematics, National University of Defense Technology, Changsha, Hunan 410073, China","institution_ids":["https://openalex.org/I170215575"]},{"raw_affiliation_string":"Department of Mathematics, Hengyang Normal University, Hengyang, Hunan 421008, China","institution_ids":["https://openalex.org/I149735164"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109852087","display_name":"Liping Luo","orcid":null},"institutions":[{"id":"https://openalex.org/I149735164","display_name":"Hengyang Normal University","ror":"https://ror.org/006bvjm48","country_code":"CN","type":"education","lineage":["https://openalex.org/I149735164"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liping Luo","raw_affiliation_strings":["Department of Mathematics, Hengyang Normal University, Hengyang, Hunan 421008, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hengyang Normal University, Hengyang, Hunan 421008, China","institution_ids":["https://openalex.org/I149735164"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050967444","display_name":"Liu Yang","orcid":"https://orcid.org/0000-0003-1340-0209"},"institutions":[{"id":"https://openalex.org/I149735164","display_name":"Hengyang Normal University","ror":"https://ror.org/006bvjm48","country_code":"CN","type":"education","lineage":["https://openalex.org/I149735164"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liu Yang","raw_affiliation_strings":["Department of Mathematics, Hengyang Normal University, Hengyang, Hunan 421008, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hengyang Normal University, Hengyang, Hunan 421008, China","institution_ids":["https://openalex.org/I149735164"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033614557","display_name":"Zhenghui Gao","orcid":"https://orcid.org/0000-0002-0431-0626"},"institutions":[{"id":"https://openalex.org/I149735164","display_name":"Hengyang Normal University","ror":"https://ror.org/006bvjm48","country_code":"CN","type":"education","lineage":["https://openalex.org/I149735164"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhenghui Gao","raw_affiliation_strings":["Department of Mathematics, Hengyang Normal University, Hengyang, Hunan 421008, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hengyang Normal University, Hengyang, Hunan 421008, China","institution_ids":["https://openalex.org/I149735164"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048975990","display_name":"Yunhui Zeng","orcid":"https://orcid.org/0000-0002-7672-9768"},"institutions":[{"id":"https://openalex.org/I149735164","display_name":"Hengyang Normal University","ror":"https://ror.org/006bvjm48","country_code":"CN","type":"education","lineage":["https://openalex.org/I149735164"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yunhui Zeng","raw_affiliation_strings":["Department of Mathematics, Hengyang Normal University, Hengyang, Hunan 421008, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hengyang Normal University, Hengyang, Hunan 421008, China","institution_ids":["https://openalex.org/I149735164"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5074730600"],"corresponding_institution_ids":["https://openalex.org/I149735164","https://openalex.org/I170215575"],"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":3,"citation_normalized_percentile":{"value":0.11318869,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"2014","issue":null,"first_page":"1","last_page":"21"},"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9958000183105469,"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":0.9900000095367432,"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/uniqueness","display_name":"Uniqueness","score":0.8414093255996704},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.70173180103302},{"id":"https://openalex.org/keywords/verifiable-secret-sharing","display_name":"Verifiable secret sharing","score":0.636762797832489},{"id":"https://openalex.org/keywords/predation","display_name":"Predation","score":0.5620002150535583},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5614998936653137},{"id":"https://openalex.org/keywords/coincidence","display_name":"Coincidence","score":0.5381497144699097},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5374671816825867},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.5303213000297546},{"id":"https://openalex.org/keywords/functional-response","display_name":"Functional response","score":0.4838527739048004},{"id":"https://openalex.org/keywords/population-model","display_name":"Population model","score":0.47375163435935974},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.45374757051467896},{"id":"https://openalex.org/keywords/predator","display_name":"Predator","score":0.4523122012615204},{"id":"https://openalex.org/keywords/epidemic-model","display_name":"Epidemic model","score":0.4351060390472412},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4249670207500458},{"id":"https://openalex.org/keywords/biological-dispersal","display_name":"Biological dispersal","score":0.4118995666503906},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.29793092608451843},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.17734095454216003},{"id":"https://openalex.org/keywords/ecology","display_name":"Ecology","score":0.13646456599235535},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1253814995288849},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06612685322761536}],"concepts":[{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.8414093255996704},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.70173180103302},{"id":"https://openalex.org/C85847156","wikidata":"https://www.wikidata.org/wiki/Q59015987","display_name":"Verifiable secret sharing","level":3,"score":0.636762797832489},{"id":"https://openalex.org/C188382862","wikidata":"https://www.wikidata.org/wiki/Q170430","display_name":"Predation","level":2,"score":0.5620002150535583},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5614998936653137},{"id":"https://openalex.org/C2779832538","wikidata":"https://www.wikidata.org/wiki/Q2308809","display_name":"Coincidence","level":3,"score":0.5381497144699097},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5374671816825867},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.5303213000297546},{"id":"https://openalex.org/C110201527","wikidata":"https://www.wikidata.org/wiki/Q5508845","display_name":"Functional response","level":4,"score":0.4838527739048004},{"id":"https://openalex.org/C52079815","wikidata":"https://www.wikidata.org/wiki/Q7229808","display_name":"Population model","level":3,"score":0.47375163435935974},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.45374757051467896},{"id":"https://openalex.org/C96857902","wikidata":"https://www.wikidata.org/wiki/Q2138108","display_name":"Predator","level":3,"score":0.4523122012615204},{"id":"https://openalex.org/C1627819","wikidata":"https://www.wikidata.org/wiki/Q2572354","display_name":"Epidemic model","level":3,"score":0.4351060390472412},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4249670207500458},{"id":"https://openalex.org/C47559259","wikidata":"https://www.wikidata.org/wiki/Q778143","display_name":"Biological dispersal","level":3,"score":0.4118995666503906},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.29793092608451843},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.17734095454216003},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.13646456599235535},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1253814995288849},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06612685322761536},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","level":1,"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/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C204787440","wikidata":"https://www.wikidata.org/wiki/Q188504","display_name":"Alternative medicine","level":2,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2014/592543","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/592543","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/592543.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/1425305642","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.jam/1425305642","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:592543","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2014/592543.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:099632f7820d4a72a8b2d61826ca8bc0","is_oa":true,"landing_page_url":"https://doaj.org/article/099632f7820d4a72a8b2d61826ca8bc0","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:10.1155/2014/592543","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/592543","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/592543.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":[],"awards":[{"id":"https://openalex.org/G150648515","display_name":null,"funder_award_id":"13JJ4098","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1922592740","display_name":null,"funder_award_id":"12JJ9001","funder_id":"https://openalex.org/F4320334992","funder_display_name":"Construct Program of the Key Discipline in Hunan Province"},{"id":"https://openalex.org/G2998248796","display_name":null,"funder_award_id":"11371367","funder_id":"https://openalex.org/F4320334992","funder_display_name":"Construct Program of the Key Discipline in Hunan Province"},{"id":"https://openalex.org/G3179747805","display_name":null,"funder_award_id":"2013T60934","funder_id":"https://openalex.org/F4320334992","funder_display_name":"Construct Program of the Key Discipline in Hunan Province"},{"id":"https://openalex.org/G3267984257","display_name":null,"funder_award_id":"11361012","funder_id":"https://openalex.org/F4320334992","funder_display_name":"Construct Program of the Key Discipline in Hunan Province"},{"id":"https://openalex.org/G3502565120","display_name":null,"funder_award_id":"13JJ4098","funder_id":"https://openalex.org/F4320334992","funder_display_name":"Construct Program of the Key Discipline in Hunan Province"},{"id":"https://openalex.org/G4025733381","display_name":null,"funder_award_id":"2013T60934","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4203653553","display_name":null,"funder_award_id":"11JJ900","funder_id":"https://openalex.org/F4320334992","funder_display_name":"Construct Program of the Key Discipline in Hunan Province"},{"id":"https://openalex.org/G4363692225","display_name":null,"funder_award_id":"11161015","funder_id":"https://openalex.org/F4320334992","funder_display_name":"Construct Program of the Key Discipline in Hunan Province"},{"id":"https://openalex.org/G4481548493","display_name":"\u975e\u9ad8\u65af\u566a\u58f0\u9a71\u52a8\u7684\u65e0\u7a77\u7ef4\u968f\u673a\u52a8\u529b\u7cfb\u7edf\u7684\u52a8\u529b\u5b66\u7814\u7a76","funder_award_id":"11371367","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5273820076","display_name":null,"funder_award_id":"11JJ900","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6118962194","display_name":null,"funder_award_id":"11371367","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6368373558","display_name":"\u591a\u56e0\u7d20\u5f71\u54cd\u5fae\u5206\u7cfb\u7edf\u5b9a\u6027\u7814\u7a76\u4e0e\u4eff\u771f\u5206\u6790","funder_award_id":"11161015","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6739567429","display_name":null,"funder_award_id":"2012M512162","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G675757661","display_name":null,"funder_award_id":"2012M512162","funder_id":"https://openalex.org/F4320334992","funder_display_name":"Construct Program of the Key Discipline in Hunan Province"},{"id":"https://openalex.org/G7275177534","display_name":"\u6a21\u7cca\u4e0d\u786e\u5b9a\u5dee\u5206\u65b9\u7a0b\u52a8\u529b\u5b66\u7406\u8bba\u53ca\u76f8\u5173\u95ee\u9898\u7814\u7a76","funder_award_id":"11361012","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G768509702","display_name":null,"funder_award_id":"12JJ9001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G912066209","display_name":null,"funder_award_id":"11B36","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320324857","display_name":"Hengyang Normal University","ror":"https://ror.org/006bvjm48"},{"id":"https://openalex.org/F4320334992","display_name":"Construct Program of the Key Discipline in Hunan Province","ror":"https://ror.org/00xsfaz62"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1982054847.pdf","grobid_xml":"https://content.openalex.org/works/W1982054847.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W1973000709","https://openalex.org/W1983878692","https://openalex.org/W1986095376","https://openalex.org/W1986888616","https://openalex.org/W1987807425","https://openalex.org/W1988679960","https://openalex.org/W1990421863","https://openalex.org/W1991763786","https://openalex.org/W2007581253","https://openalex.org/W2014613110","https://openalex.org/W2015338296","https://openalex.org/W2026798800","https://openalex.org/W2030315463","https://openalex.org/W2033474977","https://openalex.org/W2040607299","https://openalex.org/W2046432690","https://openalex.org/W2060572331","https://openalex.org/W2068418133","https://openalex.org/W2070859149","https://openalex.org/W2071227980","https://openalex.org/W2071396093","https://openalex.org/W2085808485","https://openalex.org/W2087042079","https://openalex.org/W2087068310","https://openalex.org/W2090738006","https://openalex.org/W2155896170","https://openalex.org/W3171517145"],"related_works":["https://openalex.org/W2355730523","https://openalex.org/W152021879","https://openalex.org/W2365629437","https://openalex.org/W2072918937","https://openalex.org/W2023935927","https://openalex.org/W2348330439","https://openalex.org/W3029319512","https://openalex.org/W3033220593","https://openalex.org/W2278151543","https://openalex.org/W2359065897"],"abstract_inverted_index":{"An":[0],"impulsive":[1],"Lotka-Volterra":[2],"type":[3],"predator-prey":[4],"model":[5,21],"with":[6,24],"prey":[7,32],"dispersal":[8],"in":[9],"two-patch":[10],"environments":[11],"and":[12,54,76,98],"time":[13],"delays":[14],"is":[15,34],"investigated,":[16],"where":[17],"we":[18,103],"assume":[19],"the":[20,31,37,47,73,84,91,110],"of":[22,50,57,64,79,83,112],"patches":[23],"a":[25,58,62],"barrier":[26],"only":[27],"as":[28,30],"far":[29],"population":[33,39],"concerned,":[35],"whereas":[36],"predator":[38],"has":[40],"no":[41],"barriers":[42],"between":[43],"patches.":[44],"By":[45],"applying":[46],"continuation":[48],"theorem":[49],"coincidence":[51],"degree":[52],"theory":[53],"by":[55],"means":[56],"suitable":[59],"Lyapunov":[60],"functional,":[61],"set":[63],"easily":[65],"verifiable":[66],"sufficient":[67],"conditions":[68],"are":[69,96],"obtained":[70],"to":[71,90,108],"guarantee":[72],"existence,":[74],"uniqueness,":[75],"global":[77],"stability":[78],"positive":[80],"periodic":[81],"solutions":[82],"system.":[85],"Some":[86],"known":[87],"results":[88],"subject":[89],"underlying":[92],"systems":[93],"without":[94],"impulses":[95],"improved":[97],"generalized.":[99],"As":[100],"an":[101],"application,":[102],"also":[104],"give":[105],"two":[106],"examples":[107],"illustrate":[109],"feasibility":[111],"our":[113],"main":[114],"results.":[115]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1}],"updated_date":"2026-06-06T09:05:17.133730","created_date":"2025-10-10T00:00:00"}
