{"id":"https://openalex.org/W3016778005","doi":"https://doi.org/10.1155/2020/7134869","title":"Dynamic Analysis of a Heterogeneous Diffusive Prey-Predator System in Time-Periodic Environment","display_name":"Dynamic Analysis of a Heterogeneous Diffusive Prey-Predator System in Time-Periodic Environment","publication_year":2020,"publication_date":"2020-04-14","ids":{"openalex":"https://openalex.org/W3016778005","doi":"https://doi.org/10.1155/2020/7134869","mag":"3016778005"},"language":"en","primary_location":{"id":"doi:10.1155/2020/7134869","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2020/7134869","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/7134869.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/2020/7134869.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5014469337","display_name":"Chuanjun Dai","orcid":"https://orcid.org/0000-0003-4361-8065"},"institutions":[{"id":"https://openalex.org/I146620803","display_name":"Wenzhou University","ror":"https://ror.org/020hxh324","country_code":"CN","type":"education","lineage":["https://openalex.org/I146620803"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chuanjun Dai","raw_affiliation_strings":["School of Life and Environmental Science, Wenzhou University, Wenzhou, Zhejiang 325035, China","Zhejiang Provincial Key Laboratory for Water Environment and Marine Biological Resources Protection, Wenzhou University, Wenzhou, Zhejiang 325035, China"],"raw_orcid":"https://orcid.org/0000-0003-4361-8065","affiliations":[{"raw_affiliation_string":"School of Life and Environmental Science, Wenzhou University, Wenzhou, Zhejiang 325035, China","institution_ids":["https://openalex.org/I146620803"]},{"raw_affiliation_string":"Zhejiang Provincial Key Laboratory for Water Environment and Marine Biological Resources Protection, Wenzhou University, Wenzhou, Zhejiang 325035, China","institution_ids":["https://openalex.org/I146620803"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112117017","display_name":"Liu He","orcid":null},"institutions":[{"id":"https://openalex.org/I151934421","display_name":"University of Northern British Columbia","ror":"https://ror.org/025wzwv46","country_code":"CA","type":"education","lineage":["https://openalex.org/I151934421"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"He Liu","raw_affiliation_strings":["Environmental Engineering Program, University of Northern British Columbia, Prince George, British Columbia V2N 4Z9, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Environmental Engineering Program, University of Northern British Columbia, Prince George, British Columbia V2N 4Z9, Canada","institution_ids":["https://openalex.org/I151934421"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021768108","display_name":"Zhan Jin","orcid":"https://orcid.org/0000-0001-8937-7282"},"institutions":[{"id":"https://openalex.org/I146620803","display_name":"Wenzhou University","ror":"https://ror.org/020hxh324","country_code":"CN","type":"education","lineage":["https://openalex.org/I146620803"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhan Jin","raw_affiliation_strings":["School of Life and Environmental Science, Wenzhou University, Wenzhou, Zhejiang 325035, China","Zhejiang Provincial Key Laboratory for Water Environment and Marine Biological Resources Protection, Wenzhou University, Wenzhou, Zhejiang 325035, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Life and Environmental Science, Wenzhou University, Wenzhou, Zhejiang 325035, China","institution_ids":["https://openalex.org/I146620803"]},{"raw_affiliation_string":"Zhejiang Provincial Key Laboratory for Water Environment and Marine Biological Resources Protection, Wenzhou University, Wenzhou, Zhejiang 325035, China","institution_ids":["https://openalex.org/I146620803"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054890946","display_name":"Qing Guo","orcid":"https://orcid.org/0000-0002-8700-595X"},"institutions":[{"id":"https://openalex.org/I151934421","display_name":"University of Northern British Columbia","ror":"https://ror.org/025wzwv46","country_code":"CA","type":"education","lineage":["https://openalex.org/I151934421"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Qing Guo","raw_affiliation_strings":["Environmental Engineering Program, University of Northern British Columbia, Prince George, British Columbia V2N 4Z9, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Environmental Engineering Program, University of Northern British Columbia, Prince George, British Columbia V2N 4Z9, Canada","institution_ids":["https://openalex.org/I151934421"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108047871","display_name":"Yi Wang","orcid":"https://orcid.org/0000-0002-7743-1779"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]},{"id":"https://openalex.org/I27804330","display_name":"Brown University","ror":"https://ror.org/05gq02987","country_code":"US","type":"education","lineage":["https://openalex.org/I27804330"]}],"countries":["CN","US"],"is_corresponding":false,"raw_author_name":"Yi Wang","raw_affiliation_strings":["Department of Applied Mathematics, Northwestern Polytechnical University, Xi\u2019an, Shanxi 710129, China","Division of Applied Mathematics, Brown University, Providence, Rhode Island 02912, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Northwestern Polytechnical University, Xi\u2019an, Shanxi 710129, China","institution_ids":["https://openalex.org/I17145004"]},{"raw_affiliation_string":"Division of Applied Mathematics, Brown University, Providence, Rhode Island 02912, USA","institution_ids":["https://openalex.org/I27804330"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064108322","display_name":"Hengguo Yu","orcid":"https://orcid.org/0000-0003-3387-4372"},"institutions":[{"id":"https://openalex.org/I146620803","display_name":"Wenzhou University","ror":"https://ror.org/020hxh324","country_code":"CN","type":"education","lineage":["https://openalex.org/I146620803"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hengguo Yu","raw_affiliation_strings":["Zhejiang Provincial Key Laboratory for Water Environment and Marine Biological Resources Protection, Wenzhou University, Wenzhou, Zhejiang 325035, China"],"raw_orcid":"https://orcid.org/0000-0003-3387-4372","affiliations":[{"raw_affiliation_string":"Zhejiang Provincial Key Laboratory for Water Environment and Marine Biological Resources Protection, Wenzhou University, Wenzhou, Zhejiang 325035, China","institution_ids":["https://openalex.org/I146620803"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100341237","display_name":"Qi Wang","orcid":"https://orcid.org/0000-0001-9529-0642"},"institutions":[{"id":"https://openalex.org/I146620803","display_name":"Wenzhou University","ror":"https://ror.org/020hxh324","country_code":"CN","type":"education","lineage":["https://openalex.org/I146620803"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qi Wang","raw_affiliation_strings":["School of Life and Environmental Science, Wenzhou University, Wenzhou, Zhejiang 325035, China","Zhejiang Provincial Key Laboratory for Water Environment and Marine Biological Resources Protection, Wenzhou University, Wenzhou, Zhejiang 325035, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Life and Environmental Science, Wenzhou University, Wenzhou, Zhejiang 325035, China","institution_ids":["https://openalex.org/I146620803"]},{"raw_affiliation_string":"Zhejiang Provincial Key Laboratory for Water Environment and Marine Biological Resources Protection, Wenzhou University, Wenzhou, Zhejiang 325035, China","institution_ids":["https://openalex.org/I146620803"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012705770","display_name":"Zengling Ma","orcid":"https://orcid.org/0000-0002-4165-0339"},"institutions":[{"id":"https://openalex.org/I146620803","display_name":"Wenzhou University","ror":"https://ror.org/020hxh324","country_code":"CN","type":"education","lineage":["https://openalex.org/I146620803"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zengling Ma","raw_affiliation_strings":["School of Life and Environmental Science, Wenzhou University, Wenzhou, Zhejiang 325035, China","Zhejiang Provincial Key Laboratory for Water Environment and Marine Biological Resources Protection, Wenzhou University, Wenzhou, Zhejiang 325035, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Life and Environmental Science, Wenzhou University, Wenzhou, Zhejiang 325035, China","institution_ids":["https://openalex.org/I146620803"]},{"raw_affiliation_string":"Zhejiang Provincial Key Laboratory for Water Environment and Marine Biological Resources Protection, Wenzhou University, Wenzhou, Zhejiang 325035, China","institution_ids":["https://openalex.org/I146620803"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113831199","display_name":"Min Zhao","orcid":"https://orcid.org/0000-0003-4247-0425"},"institutions":[{"id":"https://openalex.org/I146620803","display_name":"Wenzhou University","ror":"https://ror.org/020hxh324","country_code":"CN","type":"education","lineage":["https://openalex.org/I146620803"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Min Zhao","raw_affiliation_strings":["School of Life and Environmental Science, Wenzhou University, Wenzhou, Zhejiang 325035, China","Zhejiang Provincial Key Laboratory for Water Environment and Marine Biological Resources Protection, Wenzhou University, Wenzhou, Zhejiang 325035, China"],"raw_orcid":"https://orcid.org/0000-0003-4247-0425","affiliations":[{"raw_affiliation_string":"School of Life and Environmental Science, Wenzhou University, Wenzhou, Zhejiang 325035, China","institution_ids":["https://openalex.org/I146620803"]},{"raw_affiliation_string":"Zhejiang Provincial Key Laboratory for Water Environment and Marine Biological Resources Protection, Wenzhou University, Wenzhou, Zhejiang 325035, China","institution_ids":["https://openalex.org/I146620803"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5113831199"],"corresponding_institution_ids":["https://openalex.org/I146620803"],"apc_list":{"value":2550,"currency":"USD","value_usd":2550},"apc_paid":{"value":2550,"currency":"USD","value_usd":2550},"fwci":0.5139,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.68798193,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"2020","issue":null,"first_page":"1","last_page":"13"},"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":1.0,"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":1.0,"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/T11764","display_name":"Evolution and Genetic Dynamics","score":0.9872000217437744,"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"}},{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9851999878883362,"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/extinction","display_name":"Extinction (optical mineralogy)","score":0.7351797819137573},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.59367436170578},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4962065815925598},{"id":"https://openalex.org/keywords/predation","display_name":"Predation","score":0.4496059715747833},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44742611050605774},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4196433126926422},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3572368025779724},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35278451442718506},{"id":"https://openalex.org/keywords/biological-system","display_name":"Biological system","score":0.3360884189605713},{"id":"https://openalex.org/keywords/ecology","display_name":"Ecology","score":0.16371434926986694},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14862525463104248},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.08079847693443298}],"concepts":[{"id":"https://openalex.org/C101991246","wikidata":"https://www.wikidata.org/wiki/Q5422078","display_name":"Extinction (optical mineralogy)","level":2,"score":0.7351797819137573},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.59367436170578},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4962065815925598},{"id":"https://openalex.org/C188382862","wikidata":"https://www.wikidata.org/wiki/Q170430","display_name":"Predation","level":2,"score":0.4496059715747833},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44742611050605774},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4196433126926422},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3572368025779724},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35278451442718506},{"id":"https://openalex.org/C186060115","wikidata":"https://www.wikidata.org/wiki/Q30336093","display_name":"Biological system","level":1,"score":0.3360884189605713},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.16371434926986694},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14862525463104248},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.08079847693443298},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2020/7134869","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2020/7134869","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/7134869.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:7134869","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/8503/2020/7134869.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:088d597d99814953aa5032eabaa7c711","is_oa":true,"landing_page_url":"https://doaj.org/article/088d597d99814953aa5032eabaa7c711","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":"Complexity, Vol 2020 (2020)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2020/7134869","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2020/7134869","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/7134869.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":[{"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15","score":0.4000000059604645}],"awards":[{"id":"https://openalex.org/G1448154364","display_name":null,"funder_award_id":"LQ18C030002","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G1497674329","display_name":null,"funder_award_id":"61871293","funder_id":"https://openalex.org/F4320338464","funder_display_name":"Natural Science Foundation of Zhejiang Province"},{"id":"https://openalex.org/G2144473388","display_name":null,"funder_award_id":"41876124","funder_id":"https://openalex.org/F4320338464","funder_display_name":"Natural Science Foundation of Zhejiang Province"},{"id":"https://openalex.org/G2983970213","display_name":null,"funder_award_id":"2018YFE0103700","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3213018739","display_name":"\u4e9a\u70ed\u5e26\u6e7f\u5730\u6c34\u57df\u6c34\u534e\u5f62\u6210\u53ca\u6f14\u53d8\u7684\u751f\u6001\u52a8\u529b\u5b66\u6a21\u578b\u7814\u7a76","funder_award_id":"61871293","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3390853287","display_name":null,"funder_award_id":"2018YFE0103700","funder_id":"https://openalex.org/F4320338464","funder_display_name":"Natural Science Foundation of Zhejiang Province"},{"id":"https://openalex.org/G3720832193","display_name":null,"funder_award_id":"2018ZG002","funder_id":"https://openalex.org/F4320338464","funder_display_name":"Natural Science Foundation of Zhejiang Province"},{"id":"https://openalex.org/G4050522095","display_name":"\u7532\u85fb\u8d64\u6f6e\u80c1\u8feb\u4e0b\u5927\u578b\u6d77\u85fb\u7f8a\u6816\u83dc\u7684\u5149\u5408\u5e94\u7b54\u673a\u5236\u7814\u7a76","funder_award_id":"41876124","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G551689724","display_name":"\u57fa\u4e8e\u6982\u7387-\u52a8\u529b\u5b66\u6a21\u578b\u7684\u4e9a\u70ed\u5e26\u6e56\u5e93\u6d6e\u6e38\u85fb\u7c7b\u79cd\u7fa4\u589e\u957f\u52a8\u529b\u5b66\u673a\u5236\u7814\u7a76","funder_award_id":"61901303","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6249552123","display_name":null,"funder_award_id":"41876124","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G6843093809","display_name":null,"funder_award_id":"61901303","funder_id":"https://openalex.org/F4320338464","funder_display_name":"Natural Science Foundation of Zhejiang Province"},{"id":"https://openalex.org/G7112556745","display_name":null,"funder_award_id":"LQ18C030002","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7601488189","display_name":null,"funder_award_id":"61901303","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G7882678889","display_name":null,"funder_award_id":"2018YFE0103700","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G7974758166","display_name":null,"funder_award_id":"2018ZG002","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8592762473","display_name":null,"funder_award_id":"LQ18C030002","funder_id":"https://openalex.org/F4320338464","funder_display_name":"Natural Science Foundation of Zhejiang Province"},{"id":"https://openalex.org/G8845289565","display_name":null,"funder_award_id":"61871293","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G938226364","display_name":null,"funder_award_id":"2018ZG002","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program 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/F4320335777","display_name":"National Key Research and Development Program of China","ror":null},{"id":"https://openalex.org/F4320338464","display_name":"Natural Science Foundation of Zhejiang Province","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3016778005.pdf","grobid_xml":"https://content.openalex.org/works/W3016778005.grobid-xml"},"referenced_works_count":48,"referenced_works":["https://openalex.org/W1640821427","https://openalex.org/W1760916620","https://openalex.org/W1964625848","https://openalex.org/W1968302182","https://openalex.org/W1971328647","https://openalex.org/W1973975293","https://openalex.org/W1974301594","https://openalex.org/W1976851928","https://openalex.org/W1983989607","https://openalex.org/W1984197070","https://openalex.org/W1986845931","https://openalex.org/W1987246789","https://openalex.org/W2000915153","https://openalex.org/W2004383369","https://openalex.org/W2004509489","https://openalex.org/W2004728046","https://openalex.org/W2011067252","https://openalex.org/W2012089403","https://openalex.org/W2017088237","https://openalex.org/W2018647056","https://openalex.org/W2021272534","https://openalex.org/W2023778503","https://openalex.org/W2025572774","https://openalex.org/W2027665073","https://openalex.org/W2030933534","https://openalex.org/W2039005786","https://openalex.org/W2048411827","https://openalex.org/W2051819235","https://openalex.org/W2052368913","https://openalex.org/W2058127656","https://openalex.org/W2059517483","https://openalex.org/W2071369760","https://openalex.org/W2086877257","https://openalex.org/W2107417364","https://openalex.org/W2123995545","https://openalex.org/W2131915744","https://openalex.org/W2160613953","https://openalex.org/W2162559398","https://openalex.org/W2322315245","https://openalex.org/W2327580625","https://openalex.org/W2437127566","https://openalex.org/W2474031850","https://openalex.org/W2913662720","https://openalex.org/W2914144525","https://openalex.org/W2944499181","https://openalex.org/W2963910926","https://openalex.org/W4232610721","https://openalex.org/W4236990395"],"related_works":["https://openalex.org/W4376636461","https://openalex.org/W2431956656","https://openalex.org/W2115185993","https://openalex.org/W2564087297","https://openalex.org/W2118545552","https://openalex.org/W4376099541","https://openalex.org/W1874274327","https://openalex.org/W1602944703","https://openalex.org/W4379615226","https://openalex.org/W4236132388"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"a":[3],"heterogeneous":[4],"diffusive":[5],"prey-predator":[6],"system":[7,27,67],"is":[8],"first":[9],"proposed":[10],"and":[11,15,24,28,39,55,63],"then":[12],"studied":[13],"analytically":[14],"numerically.":[16],"Some":[17],"sufficient":[18],"conditions":[19],"are":[20,42,72],"derived,":[21],"including":[22],"permanence":[23,62],"extinction":[25,64],"of":[26,31,36,65],"the":[29,32,52,56,61,66,75],"boundedness":[30],"solution.":[33],"The":[34],"existence":[35],"periodic":[37],"solution":[38],"its":[40],"stability":[41],"discussed":[43],"as":[44],"well.":[45],"Furthermore,":[46],"numerical":[47,70],"results":[48,71],"indicate":[49],"that":[50],"both":[51],"spatial":[53],"heterogeneity":[54],"time-periodic":[57],"environment":[58],"can":[59],"influence":[60],"directly.":[68],"Our":[69],"consistent":[73],"with":[74],"analytical":[76],"analysis.":[77]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
