{"id":"https://openalex.org/W2507967051","doi":"https://doi.org/10.1137/15m1029564","title":"Can Pathogen Spread Keep Pace with its Host Invasion?","display_name":"Can Pathogen Spread Keep Pace with its Host Invasion?","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2507967051","doi":"https://doi.org/10.1137/15m1029564","mag":"2507967051"},"language":"en","primary_location":{"id":"doi:10.1137/15m1029564","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1029564","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":true,"oa_status":"green","oa_url":"http://ira.lib.polyu.edu.hk/bitstream/10397/62233/1/a0853-n03_2060_15m1029564.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5023958598","display_name":"Jian Fang","orcid":"https://orcid.org/0000-0002-3954-3083"},"institutions":[{"id":"https://openalex.org/I4210161462","display_name":"Heilongjiang Institute of Technology","ror":"https://ror.org/05x0m9n95","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210161462"]},{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jian Fang","raw_affiliation_strings":["Department of Mathematics, Harbin Institute of Technology, Heilongjiang, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Harbin Institute of Technology, Heilongjiang, China","institution_ids":["https://openalex.org/I4210161462","https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091595646","display_name":"Yijun Lou","orcid":"https://orcid.org/0000-0003-3864-2001"},"institutions":[{"id":"https://openalex.org/I14243506","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98","country_code":"HK","type":"education","lineage":["https://openalex.org/I14243506"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Yijun Lou","raw_affiliation_strings":["Department of Applied Mathematics, The Hong Kong Polytechnic University, Hong Kong"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, The Hong Kong Polytechnic University, Hong Kong","institution_ids":["https://openalex.org/I14243506"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100599435","display_name":"Jian Wu","orcid":"https://orcid.org/0000-0002-3394-1507"},"institutions":[{"id":"https://openalex.org/I192455969","display_name":"York University","ror":"https://ror.org/05fq50484","country_code":"CA","type":"education","lineage":["https://openalex.org/I192455969"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Jianhong Wu","raw_affiliation_strings":["Centre for Disease Modelling, York Institute of Health Research, Toronto, ON, Canada M3J1P3"],"affiliations":[{"raw_affiliation_string":"Centre for Disease Modelling, York Institute of Health Research, Toronto, ON, Canada M3J1P3","institution_ids":["https://openalex.org/I192455969"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5023958598"],"corresponding_institution_ids":["https://openalex.org/I204983213","https://openalex.org/I4210161462"],"apc_list":null,"apc_paid":null,"fwci":5.1466,"has_fulltext":true,"cited_by_count":123,"citation_normalized_percentile":{"value":0.95698198,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"76","issue":"4","first_page":"1633","last_page":"1657"},"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":0.9998000264167786,"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":0.9998000264167786,"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":0.9995999932289124,"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/T11252","display_name":"Evolutionary Game Theory and Cooperation","score":0.9847000241279602,"subfield":{"id":"https://openalex.org/subfields/3312","display_name":"Sociology and Political Science"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/host","display_name":"Host (biology)","score":0.603722870349884},{"id":"https://openalex.org/keywords/extinction","display_name":"Extinction (optical mineralogy)","score":0.4803415536880493},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.4657246768474579},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.4407983422279358},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4309467673301697},{"id":"https://openalex.org/keywords/pathogen","display_name":"Pathogen","score":0.4196043014526367},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.41412973403930664},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.37182581424713135},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.3709452450275421},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2785142958164215},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20520877838134766},{"id":"https://openalex.org/keywords/ecology","display_name":"Ecology","score":0.1775715947151184},{"id":"https://openalex.org/keywords/demography","display_name":"Demography","score":0.16648170351982117},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.12356427311897278},{"id":"https://openalex.org/keywords/microbiology","display_name":"Microbiology","score":0.09901145100593567},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.08094477653503418}],"concepts":[{"id":"https://openalex.org/C126831891","wikidata":"https://www.wikidata.org/wiki/Q221673","display_name":"Host (biology)","level":2,"score":0.603722870349884},{"id":"https://openalex.org/C101991246","wikidata":"https://www.wikidata.org/wiki/Q5422078","display_name":"Extinction (optical mineralogy)","level":2,"score":0.4803415536880493},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.4657246768474579},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.4407983422279358},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4309467673301697},{"id":"https://openalex.org/C2776460866","wikidata":"https://www.wikidata.org/wiki/Q170065","display_name":"Pathogen","level":2,"score":0.4196043014526367},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.41412973403930664},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.37182581424713135},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.3709452450275421},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2785142958164215},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20520877838134766},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.1775715947151184},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.16648170351982117},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.12356427311897278},{"id":"https://openalex.org/C89423630","wikidata":"https://www.wikidata.org/wiki/Q7193","display_name":"Microbiology","level":1,"score":0.09901145100593567},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.08094477653503418},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/15m1029564","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1029564","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"},{"id":"pmh:oai:ira.lib.polyu.edu.hk:10397/62233","is_oa":true,"landing_page_url":"http://hdl.handle.net/10397/62233","pdf_url":"http://ira.lib.polyu.edu.hk/bitstream/10397/62233/1/a0853-n03_2060_15m1029564.pdf","source":{"id":"https://openalex.org/S4306400205","display_name":"PolyU Institutional Research Archive (Hong Kong Polytechnic University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I14243506","host_organization_name":"Hong Kong Polytechnic University","host_organization_lineage":["https://openalex.org/I14243506"],"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":"Journal/Magazine Article"}],"best_oa_location":{"id":"pmh:oai:ira.lib.polyu.edu.hk:10397/62233","is_oa":true,"landing_page_url":"http://hdl.handle.net/10397/62233","pdf_url":"http://ira.lib.polyu.edu.hk/bitstream/10397/62233/1/a0853-n03_2060_15m1029564.pdf","source":{"id":"https://openalex.org/S4306400205","display_name":"PolyU Institutional Research Archive (Hong Kong Polytechnic University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I14243506","host_organization_name":"Hong Kong Polytechnic University","host_organization_lineage":["https://openalex.org/I14243506"],"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":"Journal/Magazine Article"},"sustainable_development_goals":[{"display_name":"Good health and well-being","id":"https://metadata.un.org/sdg/3","score":0.7099999785423279}],"awards":[{"id":"https://openalex.org/G1556212966","display_name":null,"funder_award_id":"11301442","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2165548363","display_name":null,"funder_award_id":"Canada","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"},{"id":"https://openalex.org/G3030655770","display_name":null,"funder_award_id":"Research Chair","funder_id":"https://openalex.org/F4320334506","funder_display_name":"Canadian Institutes of Health Research"},{"id":"https://openalex.org/G3103298488","display_name":null,"funder_award_id":"Research Chair program","funder_id":"https://openalex.org/F4320334506","funder_display_name":"Canadian Institutes of Health Research"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3383939935","display_name":null,"funder_award_id":"11371111","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G385937226","display_name":null,"funder_award_id":"11301","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G391238517","display_name":null,"funder_award_id":", and","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4389354971","display_name":null,"funder_award_id":"Research","funder_id":"https://openalex.org/F4320334506","funder_display_name":"Canadian Institutes of Health Research"},{"id":"https://openalex.org/G4812237278","display_name":null,"funder_award_id":"Canada","funder_id":"https://openalex.org/F4320319949","funder_display_name":"International Development Research Centre"},{"id":"https://openalex.org/G5265193246","display_name":null,"funder_award_id":"Canada Research Chair","funder_id":"https://openalex.org/F4320334506","funder_display_name":"Canadian Institutes of Health Research"},{"id":"https://openalex.org/G535882444","display_name":"ICS IHDCYH Travel Award (January 2011)","funder_award_id":"113711_1","funder_id":"https://openalex.org/F4320334506","funder_display_name":"Canadian Institutes of Health Research"},{"id":"https://openalex.org/G5784215521","display_name":null,"funder_award_id":"Chair","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8284766523","display_name":null,"funder_award_id":"(NSERC)","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"},{"id":"https://openalex.org/G8467377261","display_name":null,"funder_award_id":"11301","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8521318946","display_name":null,"funder_award_id":"25300","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8562285167","display_name":null,"funder_award_id":"PolyU 253004/14P","funder_id":"https://openalex.org/F4320321592","funder_display_name":"Research Grants Council, University Grants Committee"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320319949","display_name":"International Development Research Centre","ror":"https://ror.org/0445x0472"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321592","display_name":"Research Grants Council, University Grants Committee","ror":"https://ror.org/00djwmt25"},{"id":"https://openalex.org/F4320322598","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98"},{"id":"https://openalex.org/F4320329878","display_name":"Central University Basic Research Fund of China","ror":null},{"id":"https://openalex.org/F4320334506","display_name":"Canadian Institutes of Health Research","ror":"https://ror.org/01gavpb45"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W2507967051.pdf"},"referenced_works_count":47,"referenced_works":["https://openalex.org/W7364934","https://openalex.org/W1485975088","https://openalex.org/W1565205733","https://openalex.org/W1693068537","https://openalex.org/W1768651869","https://openalex.org/W1881268950","https://openalex.org/W1972339291","https://openalex.org/W1985467854","https://openalex.org/W1985936925","https://openalex.org/W1987443381","https://openalex.org/W1991797282","https://openalex.org/W1998734830","https://openalex.org/W2013300252","https://openalex.org/W2024649846","https://openalex.org/W2027677140","https://openalex.org/W2030035758","https://openalex.org/W2043834688","https://openalex.org/W2057460393","https://openalex.org/W2065188162","https://openalex.org/W2065210013","https://openalex.org/W2065753966","https://openalex.org/W2067891992","https://openalex.org/W2074187552","https://openalex.org/W2079949023","https://openalex.org/W2081158362","https://openalex.org/W2089366745","https://openalex.org/W2091159659","https://openalex.org/W2095774219","https://openalex.org/W2097329397","https://openalex.org/W2100675615","https://openalex.org/W2101660119","https://openalex.org/W2104676196","https://openalex.org/W2108655515","https://openalex.org/W2111145614","https://openalex.org/W2119640236","https://openalex.org/W2126473499","https://openalex.org/W2128591222","https://openalex.org/W2132099746","https://openalex.org/W2132893631","https://openalex.org/W2145834096","https://openalex.org/W2149314026","https://openalex.org/W2151995766","https://openalex.org/W2154790454","https://openalex.org/W2157718671","https://openalex.org/W2169190286","https://openalex.org/W2724147384","https://openalex.org/W2798198027"],"related_works":["https://openalex.org/W2157598224","https://openalex.org/W2478842321","https://openalex.org/W2117112636","https://openalex.org/W2001981265","https://openalex.org/W2091398531","https://openalex.org/W2343234619","https://openalex.org/W3173815060","https://openalex.org/W4393700755","https://openalex.org/W4393655603","https://openalex.org/W4286497165"],"abstract_inverted_index":{"We":[0,66,107],"consider":[1],"the":[2,12,16,40,56,75,80,92,104,109,143,148,154],"Fisher-KPP":[3],"equation":[4,36,146],"in":[5,45,89,97,132,147,158],"a":[6,21,46,52,98,120],"wavelike":[7],"shifting":[8],"environment":[9,17],"for":[10,119,128],"which":[11,151],"wave":[13,99],"profile":[14],"of":[15,35,42,51,74,142],"is":[18,64],"given":[19],"by":[20],"monotonically":[22],"decreasing":[23],"function":[24],"changing":[25],"signs":[26],"(shifting":[27],"from":[28,39],"favorable":[29],"to":[30,153],"unfavorable":[31],"environment).":[32],"This":[33],"type":[34],"arises":[37],"naturally":[38],"consideration":[41],"pathogen":[43],"spread":[44,82,88,95],"classical":[47],"susceptible-infected-susceptible":[48],"epidemiological":[49],"model":[50],"host":[53,60,93,105],"population":[54],"where":[55,79],"disease":[57,76,81,110,114],"impact":[58],"on":[59],"mobility":[61],"and":[62,101,161],"mortality":[63],"negligible.":[65],"conclude":[67],"that":[68],"there":[69],"are":[70],"three":[71],"different":[72],"ranges":[73],"transmission":[77],"rate":[78],"has":[83],"distinguished":[84],"spatiotemporal":[85],"patterns:":[86],"extinction;":[87],"pace":[90],"with":[91],"invasion;":[94],"not":[96],"format":[100],"slower":[102],"than":[103],"invasion.":[106],"calculate":[108],"propagation":[111],"speed":[112],"when":[113],"does":[115],"spread.":[116],"Our":[117],"analysis":[118],"related":[121,144],"elliptic":[122,145],"operator":[123],"provides":[124],"closed":[125,138],"form":[126],"expressions":[127],"two":[129],"generalized":[130],"eigenvalues":[131],"an":[133],"unbounded":[134],"domain.":[135],"The":[136],"obtained":[137],"forms":[139],"yield":[140],"unsolvability":[141],"critical":[149],"case,":[150],"relates":[152],"open":[155],"problem":[156],"4.6":[157],"[H.":[159],"Berestycki":[160],"L.":[162],"Rossi,":[163],"J.":[164],"Eur.":[165],"Math.":[166],"Soc.":[167],"(JEMS),":[168],"8":[169],"(2006),":[170],"pp.":[171],"195--215].":[172]},"counts_by_year":[{"year":2026,"cited_by_count":9},{"year":2025,"cited_by_count":21},{"year":2024,"cited_by_count":18},{"year":2023,"cited_by_count":14},{"year":2022,"cited_by_count":12},{"year":2021,"cited_by_count":17},{"year":2020,"cited_by_count":15},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":3}],"updated_date":"2026-04-14T08:04:32.555800","created_date":"2025-10-10T00:00:00"}