{"id":"https://openalex.org/W4404282086","doi":"https://doi.org/10.3934/nhm.2024055","title":"Analyzing vegetation pattern formation through a time-ordered fractional vegetation-sand model: A spatiotemporal dynamic approach","display_name":"Analyzing vegetation pattern formation through a time-ordered fractional vegetation-sand model: A spatiotemporal dynamic approach","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4404282086","doi":"https://doi.org/10.3934/nhm.2024055"},"language":"en","primary_location":{"id":"doi:10.3934/nhm.2024055","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3934/nhm.2024055","pdf_url":null,"source":{"id":"https://openalex.org/S21752972","display_name":"Networks and Heterogeneous Media","issn_l":"1556-1801","issn":["1556-1801","1556-181X"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Networks and Heterogeneous Media","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"http://dx.doi.org/10.3934/nhm.2024055","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5027001994","display_name":"Yimamu Maimaiti","orcid":null},"institutions":[{"id":"https://openalex.org/I96908189","display_name":"Xinjiang University","ror":"https://ror.org/059gw8r13","country_code":"CN","type":"education","lineage":["https://openalex.org/I96908189"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yimamu Maimaiti","raw_affiliation_strings":["College of Mathematics and System Sciences, Xinjiang University, Urumqi, Xinjiang 830046, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and System Sciences, Xinjiang University, Urumqi, Xinjiang 830046, China","institution_ids":["https://openalex.org/I96908189"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005780723","display_name":"Zhiguo Lv","orcid":"https://orcid.org/0000-0003-2048-8472"},"institutions":[{"id":"https://openalex.org/I96908189","display_name":"Xinjiang University","ror":"https://ror.org/059gw8r13","country_code":"CN","type":"education","lineage":["https://openalex.org/I96908189"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zunyou Lv","raw_affiliation_strings":["College of Mathematics and System Sciences, Xinjiang University, Urumqi, Xinjiang 830046, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and System Sciences, Xinjiang University, Urumqi, Xinjiang 830046, China","institution_ids":["https://openalex.org/I96908189"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051287601","display_name":"Ahmadjan Muhammadhaji","orcid":"https://orcid.org/0000-0002-2596-9489"},"institutions":[{"id":"https://openalex.org/I96908189","display_name":"Xinjiang University","ror":"https://ror.org/059gw8r13","country_code":"CN","type":"education","lineage":["https://openalex.org/I96908189"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ahmadjan Muhammadhaji","raw_affiliation_strings":["College of Mathematics and System Sciences, Xinjiang University, Urumqi, Xinjiang 830046, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and System Sciences, Xinjiang University, Urumqi, Xinjiang 830046, China","institution_ids":["https://openalex.org/I96908189"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100329320","display_name":"Wang Zhang","orcid":"https://orcid.org/0000-0002-9830-8104"},"institutions":[{"id":"https://openalex.org/I2799293361","display_name":"Baoji University of Arts and Sciences","ror":"https://ror.org/05nx0xs09","country_code":"CN","type":"education","lineage":["https://openalex.org/I2799293361"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wang Zhang","raw_affiliation_strings":["Institute of Mathematics and Information Science, Baoji University of Arts and Sciences, Baoji, Shaanxi 721013, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Information Science, Baoji University of Arts and Sciences, Baoji, Shaanxi 721013, China","institution_ids":["https://openalex.org/I2799293361"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.1967,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.50552891,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"19","issue":"3","first_page":"1286","last_page":"1308"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13377","display_name":"Ecosystem dynamics and resilience","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2306","display_name":"Global and Planetary Change"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13377","display_name":"Ecosystem dynamics and resilience","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2306","display_name":"Global and Planetary Change"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10005","display_name":"Ecology and Vegetation Dynamics Studies","score":0.989799976348877,"subfield":{"id":"https://openalex.org/subfields/2309","display_name":"Nature and Landscape Conservation"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13811","display_name":"Earth Systems and Cosmic Evolution","score":0.955299973487854,"subfield":{"id":"https://openalex.org/subfields/1902","display_name":"Atmospheric Science"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/vegetation","display_name":"Vegetation (pathology)","score":0.7969954013824463},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.43335703015327454},{"id":"https://openalex.org/keywords/soil-science","display_name":"Soil science","score":0.38960641622543335},{"id":"https://openalex.org/keywords/environmental-science","display_name":"Environmental science","score":0.32927462458610535}],"concepts":[{"id":"https://openalex.org/C2776133958","wikidata":"https://www.wikidata.org/wiki/Q7918366","display_name":"Vegetation (pathology)","level":2,"score":0.7969954013824463},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.43335703015327454},{"id":"https://openalex.org/C159390177","wikidata":"https://www.wikidata.org/wiki/Q9161265","display_name":"Soil science","level":1,"score":0.38960641622543335},{"id":"https://openalex.org/C39432304","wikidata":"https://www.wikidata.org/wiki/Q188847","display_name":"Environmental science","level":0,"score":0.32927462458610535},{"id":"https://openalex.org/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3934/nhm.2024055","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3934/nhm.2024055","pdf_url":null,"source":{"id":"https://openalex.org/S21752972","display_name":"Networks and Heterogeneous Media","issn_l":"1556-1801","issn":["1556-1801","1556-181X"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Networks and Heterogeneous Media","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:9bac9a07ce6942bcb2b69095140d29a5","is_oa":false,"landing_page_url":"https://doaj.org/article/9bac9a07ce6942bcb2b69095140d29a5","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Networks and Heterogeneous Media, Vol 19, Iss 3, Pp 1286-1308 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3934/nhm.2024055","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3934/nhm.2024055","pdf_url":null,"source":{"id":"https://openalex.org/S21752972","display_name":"Networks and Heterogeneous Media","issn_l":"1556-1801","issn":["1556-1801","1556-181X"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Networks and Heterogeneous Media","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.7599999904632568,"id":"https://metadata.un.org/sdg/15","display_name":"Life in Land"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W1975892142","https://openalex.org/W2012748134","https://openalex.org/W2014595497","https://openalex.org/W2019177912","https://openalex.org/W2061455376","https://openalex.org/W2074609787","https://openalex.org/W2089401902","https://openalex.org/W2122621577","https://openalex.org/W2135418520","https://openalex.org/W2164575404","https://openalex.org/W2177431737","https://openalex.org/W2476959674","https://openalex.org/W2592767782","https://openalex.org/W2789806152","https://openalex.org/W2792585159","https://openalex.org/W2892231103","https://openalex.org/W2900747104","https://openalex.org/W3002941067","https://openalex.org/W3030589981","https://openalex.org/W3034450839","https://openalex.org/W3043472659","https://openalex.org/W3196726492","https://openalex.org/W3209750474","https://openalex.org/W4224591799","https://openalex.org/W4379143350","https://openalex.org/W4385789030","https://openalex.org/W4386022541","https://openalex.org/W4391609509","https://openalex.org/W4391648908","https://openalex.org/W4391722396","https://openalex.org/W4392305960","https://openalex.org/W4396218362","https://openalex.org/W4396640028"],"related_works":["https://openalex.org/W2324615561","https://openalex.org/W2086120259","https://openalex.org/W2245170124","https://openalex.org/W2076393078","https://openalex.org/W3186982001","https://openalex.org/W1984402782","https://openalex.org/W2137941439","https://openalex.org/W2004200960","https://openalex.org/W1999891779","https://openalex.org/W2029513011"],"abstract_inverted_index":{"<p>This":[0],"paper":[1],"contributes":[2],"to":[3,35,105],"the":[4,17,23,32,40,63,77,85,99,107,122,127,135],"field":[5],"by":[6],"developing":[7],"a":[8,27,73,95],"fractional-order":[9,80],"vegetation-sand":[10,30,81],"model":[11,82,128],"that":[12],"incorporates":[13],"memory":[14],"effects":[15,108],"into":[16],"traditional":[18],"integer-order":[19],"framework.":[20],"By":[21],"studying":[22],"spatiotemporal":[24,100,123],"dynamics":[25],"of":[26,39,67,76,98,109,126,137],"time-order":[28],"fractional":[29,68,112],"model,":[31,101],"research":[33],"aimed":[34],"deepen":[36],"our":[37],"understanding":[38],"complex":[41],"interactions":[42],"between":[43],"vegetation":[44,115],"and":[45,53,58,83,90,111,133,144],"sand":[46],"environments,":[47],"providing":[48],"insights":[49],"for":[50,88,141],"effective":[51],"management":[52],"conservation":[54],"strategies":[55],"in":[56],"arid":[57],"semi-arid":[59],"regions.":[60],"First,":[61],"using":[62],"linear":[64],"stability":[65,74,89,96],"theory":[66],"differential":[69],"equations,":[70],"we":[71,93,120],"conducted":[72],"analysis":[75,97],"spatially":[78],"homogeneous":[79],"provided":[84],"parametric":[86],"conditions":[87,132],"instability.":[91],"Next,":[92],"performed":[94],"utilizing":[102],"Turing":[103],"instability":[104],"reveal":[106],"diffusion":[110],"order":[113],"on":[114],"distribution.":[116],"Through":[117],"numerical":[118],"simulations,":[119],"demonstrated":[121],"evolution":[124],"patterns":[125],"under":[129],"different":[130],"environmental":[131],"discussed":[134],"implications":[136],"these":[138],"dynamic":[139],"changes":[140],"ecological":[142],"restoration":[143],"land":[145],"management.</p>":[146]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-07-17T09:13:05.818461","created_date":"2025-10-10T00:00:00"}