{"id":"https://openalex.org/W4225832342","doi":"https://doi.org/10.1137/20m1320973","title":"A New Monotonicity for Principal Eigenvalues with Applications to Time-Periodic Patch Models","display_name":"A New Monotonicity for Principal Eigenvalues with Applications to Time-Periodic Patch Models","publication_year":2022,"publication_date":"2022-04-01","ids":{"openalex":"https://openalex.org/W4225832342","doi":"https://doi.org/10.1137/20m1320973"},"language":"en","primary_location":{"id":"doi:10.1137/20m1320973","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1320973","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100319066","display_name":"Shuang Liu","orcid":"https://orcid.org/0000-0001-7279-7037"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Shuang Liu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110006356","display_name":"Yuan Lou","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yuan Lou","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5021337146","display_name":"Pengfei Song","orcid":"https://orcid.org/0000-0001-5646-4275"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Pengfei Song","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-5646-4275","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.8752,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.93792662,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"82","issue":"2","first_page":"576","last_page":"601"},"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":0.9991000294685364,"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":0.9991000294685364,"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/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.984499990940094,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9815999865531921,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/relaxation","display_name":"Relaxation (psychology)","score":0.7094193696975708},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.7092370986938477},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.6782770156860352},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.6548265814781189},{"id":"https://openalex.org/keywords/extinction","display_name":"Extinction (optical mineralogy)","score":0.5659868717193604},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4824950695037842},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.4588826596736908},{"id":"https://openalex.org/keywords/competition","display_name":"Competition (biology)","score":0.4514245092868805},{"id":"https://openalex.org/keywords/principal","display_name":"Principal (computer security)","score":0.4283459782600403},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.36304396390914917},{"id":"https://openalex.org/keywords/biological-system","display_name":"Biological system","score":0.3446071445941925},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3349471092224121},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24163827300071716},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.2208082675933838},{"id":"https://openalex.org/keywords/ecology","display_name":"Ecology","score":0.21841156482696533},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18080934882164001},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.16384917497634888},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.12346556782722473},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.11654189229011536},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.10365864634513855}],"concepts":[{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.7094193696975708},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.7092370986938477},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.6782770156860352},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.6548265814781189},{"id":"https://openalex.org/C101991246","wikidata":"https://www.wikidata.org/wiki/Q5422078","display_name":"Extinction (optical mineralogy)","level":2,"score":0.5659868717193604},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4824950695037842},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.4588826596736908},{"id":"https://openalex.org/C91306197","wikidata":"https://www.wikidata.org/wiki/Q45767","display_name":"Competition (biology)","level":2,"score":0.4514245092868805},{"id":"https://openalex.org/C144559511","wikidata":"https://www.wikidata.org/wiki/Q2986279","display_name":"Principal (computer security)","level":2,"score":0.4283459782600403},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.36304396390914917},{"id":"https://openalex.org/C186060115","wikidata":"https://www.wikidata.org/wiki/Q30336093","display_name":"Biological system","level":1,"score":0.3446071445941925},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3349471092224121},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24163827300071716},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.2208082675933838},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.21841156482696533},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18080934882164001},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.16384917497634888},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.12346556782722473},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.11654189229011536},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.10365864634513855},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C169760540","wikidata":"https://www.wikidata.org/wiki/Q207011","display_name":"Neuroscience","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/20m1320973","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1320973","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6299999952316284,"id":"https://metadata.un.org/sdg/15","display_name":"Life in Land"}],"awards":[{"id":"https://openalex.org/G1010383800","display_name":null,"funder_award_id":"1207011419","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5962725116","display_name":null,"funder_award_id":"DMS\u20101853561","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6714786647","display_name":null,"funder_award_id":"2020M683445","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"}],"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/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1982204224","https://openalex.org/W1987925126","https://openalex.org/W1994981832","https://openalex.org/W2008094357","https://openalex.org/W2008686523","https://openalex.org/W2009217095","https://openalex.org/W2010202630","https://openalex.org/W2015700597","https://openalex.org/W2018383824","https://openalex.org/W2024557649","https://openalex.org/W2028053884","https://openalex.org/W2049177551","https://openalex.org/W2055441691","https://openalex.org/W2062001785","https://openalex.org/W2066653126","https://openalex.org/W2101817231","https://openalex.org/W2110668450","https://openalex.org/W2143827467","https://openalex.org/W2282749316","https://openalex.org/W2770492142","https://openalex.org/W2887422411","https://openalex.org/W2892070874","https://openalex.org/W2950725219","https://openalex.org/W2980856182","https://openalex.org/W3099313982","https://openalex.org/W3099955070","https://openalex.org/W3100911347","https://openalex.org/W3101679828","https://openalex.org/W3120260495","https://openalex.org/W3201522367"],"related_works":["https://openalex.org/W2077314575","https://openalex.org/W4315701745","https://openalex.org/W1990290471","https://openalex.org/W4380682190","https://openalex.org/W2102386043","https://openalex.org/W2945307361","https://openalex.org/W2116636209","https://openalex.org/W2053698688","https://openalex.org/W2005710836","https://openalex.org/W4366779185"],"abstract_inverted_index":{"A":[0],"new":[1],"monotonocity":[2],"of":[3,78],"principal":[4],"eigenvalues":[5],"in":[6,22,111],"time-periodic":[7],"patch":[8,16],"environments":[9,25],"is":[10,26],"established.":[11],"As":[12],"an":[13],"application,":[14],"a":[15],"model":[17],"for":[18,34,59,74,89],"two":[19,29,54],"competing":[20],"species":[21,30,39,55,70,85,108],"spatio-temporally":[23],"varying":[24],"investigated.":[27],"When":[28,53],"are":[31,56],"identical":[32,57],"except":[33,58],"their":[35,60],"relaxation":[36,43,79,94,99],"time,":[37,80],"the":[38,41,48,67,82],"with":[40],"shorter":[42],"time":[44,100],"will":[45,86],"always":[46],"drive":[47],"other":[49],"one":[50],"to":[51,106],"extinction.":[52],"diffusion":[61,103],"rates,":[62],"our":[63],"results":[64],"suggest":[65],"that":[66],"faster":[68],"diffusing":[69,84],"could":[71],"be":[72,87],"favored":[73,88],"some":[75],"intermediate":[76],"range":[77],"while":[81],"slower":[83],"both":[90],"short":[91,98],"and":[92,101],"long":[93],"time.":[95],"In":[96],"general,":[97],"slow":[102],"rate":[104],"tend":[105],"help":[107],"gain":[109],"advantage":[110],"competition.":[112]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2026-08-02T14:50:37.381335","created_date":"2025-10-10T00:00:00"}
