{"id":"https://openalex.org/W4388900830","doi":"https://doi.org/10.3390/sym15122099","title":"Inverse Problem Numerical Analysis of Forager Bee Losses in Spatial Environment without Contamination","display_name":"Inverse Problem Numerical Analysis of Forager Bee Losses in Spatial Environment without Contamination","publication_year":2023,"publication_date":"2023-11-22","ids":{"openalex":"https://openalex.org/W4388900830","doi":"https://doi.org/10.3390/sym15122099"},"language":"en","primary_location":{"id":"doi:10.3390/sym15122099","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15122099","pdf_url":"https://www.mdpi.com/2073-8994/15/12/2099/pdf?version=1700650132","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/15/12/2099/pdf?version=1700650132","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5066917589","display_name":"Atanas Z. Atanasov","orcid":"https://orcid.org/0000-0003-4816-2837"},"institutions":[{"id":"https://openalex.org/I43986944","display_name":"Angel Kanchev University of Ruse","ror":"https://ror.org/01g09ef73","country_code":"BG","type":"education","lineage":["https://openalex.org/I43986944"]}],"countries":["BG"],"is_corresponding":false,"raw_author_name":"Atanas Z. Atanasov","raw_affiliation_strings":["Agricultural Machinery Department, Agrarian and Industrial Faculty, University of Ruse, 8 Studentska Str., 7017 Ruse, Bulgaria"],"raw_orcid":"https://orcid.org/0000-0003-4816-2837","affiliations":[{"raw_affiliation_string":"Agricultural Machinery Department, Agrarian and Industrial Faculty, University of Ruse, 8 Studentska Str., 7017 Ruse, Bulgaria","institution_ids":["https://openalex.org/I43986944"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046821864","display_name":"Miglena N. Koleva","orcid":"https://orcid.org/0000-0003-0360-3651"},"institutions":[{"id":"https://openalex.org/I43986944","display_name":"Angel Kanchev University of Ruse","ror":"https://ror.org/01g09ef73","country_code":"BG","type":"education","lineage":["https://openalex.org/I43986944"]}],"countries":["BG"],"is_corresponding":true,"raw_author_name":"Miglena N. Koleva","raw_affiliation_strings":["Department of Mathematics, Faculty of Natural Sciences and Education, University of Ruse, 8 Studentska Str., 7017 Ruse, Bulgaria"],"raw_orcid":"https://orcid.org/0000-0003-0360-3651","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Natural Sciences and Education, University of Ruse, 8 Studentska Str., 7017 Ruse, Bulgaria","institution_ids":["https://openalex.org/I43986944"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026685590","display_name":"Lubin G. Vulkov","orcid":"https://orcid.org/0000-0003-0684-8574"},"institutions":[{"id":"https://openalex.org/I43986944","display_name":"Angel Kanchev University of Ruse","ror":"https://ror.org/01g09ef73","country_code":"BG","type":"education","lineage":["https://openalex.org/I43986944"]}],"countries":["BG"],"is_corresponding":false,"raw_author_name":"Lubin G. Vulkov","raw_affiliation_strings":["Department of Applied Mathematics and Statistics, Faculty of Natural Sciences and Education, University of Ruse, 8 Studentska Str., 7017 Ruse, Bulgaria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Statistics, Faculty of Natural Sciences and Education, University of Ruse, 8 Studentska Str., 7017 Ruse, Bulgaria","institution_ids":["https://openalex.org/I43986944"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5046821864"],"corresponding_institution_ids":["https://openalex.org/I43986944"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2227},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2227},"fwci":0.9212,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.75034095,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":"15","issue":"12","first_page":"2099","last_page":"2099"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11641","display_name":"Insect and Pesticide Research","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1109","display_name":"Insect Science"},"field":{"id":"https://openalex.org/fields/11","display_name":"Agricultural and Biological Sciences"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T11641","display_name":"Insect and Pesticide Research","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1109","display_name":"Insect Science"},"field":{"id":"https://openalex.org/fields/11","display_name":"Agricultural and Biological Sciences"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10702","display_name":"Insect and Arachnid Ecology and Behavior","score":0.9991000294685364,"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/T10487","display_name":"Plant and animal studies","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/1105","display_name":"Ecology, Evolution, Behavior and Systematics"},"field":{"id":"https://openalex.org/fields/11","display_name":"Agricultural and Biological Sciences"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6614621877670288},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.627643883228302},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.604218065738678},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5516501665115356},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5389931797981262},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.4667767584323883},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.4357566237449646},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.4333764612674713},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4123658537864685},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3796427249908447},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.31289345026016235},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10664913058280945}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6614621877670288},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.627643883228302},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.604218065738678},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5516501665115356},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5389931797981262},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.4667767584323883},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.4357566237449646},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.4333764612674713},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4123658537864685},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3796427249908447},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.31289345026016235},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10664913058280945}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/sym15122099","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15122099","pdf_url":"https://www.mdpi.com/2073-8994/15/12/2099/pdf?version=1700650132","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:6f5f4c36f3f347d781305cb5c2605397","is_oa":false,"landing_page_url":"https://doaj.org/article/6f5f4c36f3f347d781305cb5c2605397","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":"Symmetry, Vol 15, Iss 12, p 2099 (2023)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/15/12/2099/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym15122099","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym15122099","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15122099","pdf_url":"https://www.mdpi.com/2073-8994/15/12/2099/pdf?version=1700650132","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Good health and well-being","id":"https://metadata.un.org/sdg/3","score":0.8399999737739563}],"awards":[{"id":"https://openalex.org/G4967738832","display_name":null,"funder_award_id":"KP-06-N 62/3","funder_id":"https://openalex.org/F4320321843","funder_display_name":"Bulgarian National Science Fund"},{"id":"https://openalex.org/G6301846852","display_name":null,"funder_award_id":"KP-06-PN 46-7","funder_id":"https://openalex.org/F4320321843","funder_display_name":"Bulgarian National Science Fund"}],"funders":[{"id":"https://openalex.org/F4320321843","display_name":"Bulgarian National Science Fund","ror":"https://ror.org/05eg49r29"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4388900830.pdf"},"referenced_works_count":49,"referenced_works":["https://openalex.org/W118992291","https://openalex.org/W228238602","https://openalex.org/W622090884","https://openalex.org/W1992722004","https://openalex.org/W2009428720","https://openalex.org/W2019414525","https://openalex.org/W2020526065","https://openalex.org/W2022695709","https://openalex.org/W2030626246","https://openalex.org/W2038534289","https://openalex.org/W2042610186","https://openalex.org/W2057829915","https://openalex.org/W2059394080","https://openalex.org/W2073435376","https://openalex.org/W2084175030","https://openalex.org/W2323715208","https://openalex.org/W2327258590","https://openalex.org/W2588181805","https://openalex.org/W2606322805","https://openalex.org/W2792624229","https://openalex.org/W2912595190","https://openalex.org/W2972865782","https://openalex.org/W2978191791","https://openalex.org/W2989618720","https://openalex.org/W3014148883","https://openalex.org/W3024213405","https://openalex.org/W3106900378","https://openalex.org/W3130675900","https://openalex.org/W3193451128","https://openalex.org/W3198126413","https://openalex.org/W3200036786","https://openalex.org/W3214619994","https://openalex.org/W4200520735","https://openalex.org/W4214870531","https://openalex.org/W4224979766","https://openalex.org/W4290720665","https://openalex.org/W4298293704","https://openalex.org/W4307948988","https://openalex.org/W4312056974","https://openalex.org/W4321375130","https://openalex.org/W4322096572","https://openalex.org/W4327795743","https://openalex.org/W4376623666","https://openalex.org/W4390050368","https://openalex.org/W6648633423","https://openalex.org/W6660961274","https://openalex.org/W6665611333","https://openalex.org/W6850169152","https://openalex.org/W6850728410"],"related_works":["https://openalex.org/W2006251942","https://openalex.org/W2364741597","https://openalex.org/W1492103595","https://openalex.org/W1864774435","https://openalex.org/W946352265","https://openalex.org/W3020787026","https://openalex.org/W2334479858","https://openalex.org/W2331917905","https://openalex.org/W4388482258","https://openalex.org/W3155039083"],"abstract_inverted_index":{"We":[0,29,62],"consider":[1],"an":[2],"inverse":[3,53,70],"problem":[4,47,54,72,76],"of":[5,106,123,130],"recovering":[6],"the":[7,11,25,34,40,45,64,69,74,81,85,95,101,128,131],"mortality":[8],"rate":[9],"in":[10,39,80,92],"honey":[12],"bee":[13],"difference":[14],"equation":[15],"model,":[16],"that":[17],"tracks":[18],"a":[19,51],"forage":[20],"honeybee":[21],"leaving":[22],"and":[23,84,142,147],"entering":[24],"hive":[26],"each":[27],"day.":[28],"concentrate":[30],"our":[31],"analysis":[32],"to":[33,67,73,94],"model":[35],"without":[36],"pesticide":[37],"contamination":[38],"symmetric":[41,52],"spatial":[42],"environment.":[43],"Thus,":[44],"mathematical":[46],"is":[48,111],"formulated":[49],"as":[50,149],"for":[55],"reaction":[56],"coefficient":[57,71],"at":[58],"final":[59],"time":[60,120],"constraint.":[61],"use":[63],"overspecified":[65],"information":[66],"transform":[68],"forward":[75],"with":[77,140],"non-local":[78,103],"terms":[79],"differential":[82,98,108],"operator":[83],"initial":[86],"condition.":[87],"First,":[88],"we":[89],"apply":[90],"semidiscretization":[91],"space":[93],"new":[96],"nonsymmetric":[97,104],"operator.":[99],"Then,":[100],"resulting":[102],"system":[105],"ordinary":[107],"equations":[109],"(ODEs)":[110],"discretized":[112],"by":[113],"three":[114],"iterative":[115],"numerical":[116,124,132,138],"schemes":[117,133],"using":[118],"different":[119],"stepping.":[121],"Results":[122,136],"experiments":[125],"which":[126],"compare":[127],"efficiency":[129],"are":[134,145],"discussed.":[135],"from":[137],"tests":[139],"synthetic":[141],"real":[143],"data":[144],"presented":[146],"discussed,":[148],"well.":[150]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}