{"id":"https://openalex.org/W2029905694","doi":"https://doi.org/10.4304/jsw.9.1.211-215","title":"Balanced Growth Solutions and Related Problems of Hua's Macroeconomic Model","display_name":"Balanced Growth Solutions and Related Problems of Hua's Macroeconomic Model","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2029905694","doi":"https://doi.org/10.4304/jsw.9.1.211-215","mag":"2029905694"},"language":"en","primary_location":{"id":"doi:10.4304/jsw.9.1.211-215","is_oa":false,"landing_page_url":"https://doi.org/10.4304/jsw.9.1.211-215","pdf_url":null,"source":{"id":"https://openalex.org/S114141714","display_name":"Journal of Software","issn_l":"1796-217X","issn":["1796-217X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318660","host_organization_name":"Academy Publisher","host_organization_lineage":["https://openalex.org/P4310318660"],"host_organization_lineage_names":["Academy Publisher"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Software","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/A5101416593","display_name":"Jing Zhang","orcid":"https://orcid.org/0000-0002-1509-6303"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Jing Zhang","raw_affiliation_strings":["DongGuan Polytechnic College/ Department of Continuous Education, DongGuan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"DongGuan Polytechnic College/ Department of Continuous Education, DongGuan","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5101416593"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12239059,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"9","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12368","display_name":"Grey System Theory Applications","score":0.6707000136375427,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T12368","display_name":"Grey System Theory Applications","score":0.6707000136375427,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.8717067837715149},{"id":"https://openalex.org/keywords/growth-model","display_name":"Growth model","score":0.4736011326313019},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.2775290310382843},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.058210164308547974}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8717067837715149},{"id":"https://openalex.org/C2983335520","wikidata":"https://www.wikidata.org/wiki/Q47537570","display_name":"Growth model","level":2,"score":0.4736011326313019},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.2775290310382843},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.058210164308547974}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.4304/jsw.9.1.211-215","is_oa":false,"landing_page_url":"https://doi.org/10.4304/jsw.9.1.211-215","pdf_url":null,"source":{"id":"https://openalex.org/S114141714","display_name":"Journal of Software","issn_l":"1796-217X","issn":["1796-217X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318660","host_organization_name":"Academy Publisher","host_organization_lineage":["https://openalex.org/P4310318660"],"host_organization_lineage_names":["Academy Publisher"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Software","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/8","score":0.6100000143051147,"display_name":"Decent work and economic growth"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W581677283","https://openalex.org/W2330035571","https://openalex.org/W2367025200","https://openalex.org/W2368319664","https://openalex.org/W3148773380"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W2382290278","https://openalex.org/W2350741829","https://openalex.org/W2130043461","https://openalex.org/W2530322880"],"abstract_inverted_index":{"In":[0,145,168],"this":[1],"paper,":[2],"the":[3,21,29,32,37,40,65,79,85,95,102,110,116,123,126,146,151,173,179,186,189,205,210],"balanced":[4,41,68,138],"growth":[5,42,139],"solution":[6,11,43],"and":[7,24,27,78,81,115,120,193,217],"relative":[8,70,127,141],"stability":[9,71,128],"of":[10,31,34,39,47,67,87,109,125,129,159,181],"on":[12,44,94,122],"Hua's":[13,48,75,175,200],"macroeconomic":[14,49,76,136,176,198],"model":[15,50,77,187,201,211],"is":[16,51,60,72,90,107,113,132],"studied.":[17],"Firstly,":[18],"by":[19,99],"deriving":[20],"greatest":[22],"eigenvalue":[23,33],"nonnegative":[25,35],"eigenvector,":[26],"analyzing":[28],"range":[30],"matrix,":[36],"existence":[38,86],"a":[45],"sort":[46],"proved,":[52],"no":[53],"matter":[54],"whether":[55],"direct":[56],"consumption":[57],"coefficient":[58],"matrix":[59],"irreducible":[61],"or":[62],"reducible.":[63],"Furthermore,":[64],"concept":[66],"solution's":[69],"introduced":[73],"to":[74,215],"necessary":[80],"sufficient":[82],"condition":[83,180],"for":[84],"these":[88,169],"solutions":[89],"obtained.":[91],"Finally,":[92],"based":[93],"price":[96,104,119,130,143],"equation":[97],"proposed":[98,114,172],"Prof.":[100],"Hua,":[101],"dynamic":[103],"system":[105,131,144],"which":[106,155],"inclusive":[108],"interest":[111],"rate":[112],"relationship":[117,190],"between":[118,191],"output":[121],"basis":[124],"illuminated.":[133],"Index":[134],"Terms\u2014Hua's":[135],"model,":[137,199],"solution,":[140],"stability,":[142],"1980s,Prof.":[147],"Luogeng":[148],"Hua":[149],"established":[150],"well-":[152],"known":[153],"theory":[154,158],"called":[156],"mathematical":[157],"large-scale":[160],"optimization":[161],"in":[162,165,204,220],"planned":[163],"economy":[164],"several":[166],"papers.":[167],"papers,":[170],"he":[171],"so-called":[174],"model.":[177],"Under":[178],"enough":[182],"large":[183],"productivity":[184],"elasticity,":[185],"depicts":[188],"input":[192],"output.":[194],"Compared":[195],"with":[196],"Leontief's":[197],"fits":[202],"better":[203],"current":[206],"Chinese":[207],"economy.":[208],"Hence":[209],"can":[212],"be":[213],"used":[214],"analyze":[216],"forecast":[218],"effectively":[219],"China":[221]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
