{"id":"https://openalex.org/W2010111952","doi":"https://doi.org/10.1142/s1793962313500220","title":"A MATHEMATICAL MODEL FOR THE DEPLETION OF FORESTRY RESOURCES DUE TO POPULATION AND POPULATION PRESSURE AUGMENTED INDUSTRIALIZATION","display_name":"A MATHEMATICAL MODEL FOR THE DEPLETION OF FORESTRY RESOURCES DUE TO POPULATION AND POPULATION PRESSURE AUGMENTED INDUSTRIALIZATION","publication_year":2013,"publication_date":"2013-06-17","ids":{"openalex":"https://openalex.org/W2010111952","doi":"https://doi.org/10.1142/s1793962313500220","mag":"2010111952"},"language":"en","primary_location":{"id":"doi:10.1142/s1793962313500220","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793962313500220","pdf_url":null,"source":{"id":"https://openalex.org/S107361000","display_name":"Advances in Complex Systems","issn_l":"0219-5259","issn":["0219-5259","1793-6802","1793-9615","1793-9623"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Modeling, Simulation, and Scientific Computing","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/A5045503312","display_name":"A. K. Misra","orcid":"https://orcid.org/0000-0002-2885-9955"},"institutions":[{"id":"https://openalex.org/I91357014","display_name":"Banaras Hindu University","ror":"https://ror.org/04cdn2797","country_code":"IN","type":"education","lineage":["https://openalex.org/I91357014"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"A. K. MISRA","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Banaras Hindu University, Varanasi - 221 005, India","Department of Mathematics, Faculty of Science, Banaras Hindu University, Varanasi-221 005, India#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Banaras Hindu University, Varanasi - 221 005, India","institution_ids":["https://openalex.org/I91357014"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Banaras Hindu University, Varanasi-221 005, India#TAB#","institution_ids":["https://openalex.org/I91357014"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101634050","display_name":"Kusum Lata","orcid":"https://orcid.org/0000-0003-0612-9799"},"institutions":[{"id":"https://openalex.org/I91357014","display_name":"Banaras Hindu University","ror":"https://ror.org/04cdn2797","country_code":"IN","type":"education","lineage":["https://openalex.org/I91357014"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"KUSUM LATA","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Banaras Hindu University, Varanasi - 221 005, India","Department of Mathematics, Faculty of Science, Banaras Hindu University, Varanasi-221 005, India#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Banaras Hindu University, Varanasi - 221 005, India","institution_ids":["https://openalex.org/I91357014"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Banaras Hindu University, Varanasi-221 005, India#TAB#","institution_ids":["https://openalex.org/I91357014"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050150264","display_name":"J.B. Shukla","orcid":"https://orcid.org/0000-0002-8343-145X"},"institutions":[{"id":"https://openalex.org/I4210086089","display_name":"JRE Group of Institutions","ror":"https://ror.org/00gyygy85","country_code":"IN","type":"education","lineage":["https://openalex.org/I4210086089"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"J. B. SHUKLA","raw_affiliation_strings":["BIT, BIIFR &amp; D, Bhabha Group of Institutions, Kanpur(Rural) - 209 204, India"],"affiliations":[{"raw_affiliation_string":"BIT, BIIFR &amp; D, Bhabha Group of Institutions, Kanpur(Rural) - 209 204, India","institution_ids":["https://openalex.org/I4210086089"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5045503312"],"corresponding_institution_ids":["https://openalex.org/I91357014"],"apc_list":null,"apc_paid":null,"fwci":0.8848,"has_fulltext":false,"cited_by_count":31,"citation_normalized_percentile":{"value":0.76256034,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"05","issue":"01","first_page":"1350022","last_page":"1350022"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11753","display_name":"Forest Management and Policy","score":0.9966999888420105,"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/T11753","display_name":"Forest Management and Policy","score":0.9966999888420105,"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/T10226","display_name":"Land Use and Ecosystem Services","score":0.9503999948501587,"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/T10319","display_name":"Conservation, Biodiversity, and Resource Management","score":0.9448999762535095,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/industrialisation","display_name":"Industrialisation","score":0.8141259551048279},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.7158055305480957},{"id":"https://openalex.org/keywords/biomass","display_name":"Biomass (ecology)","score":0.6781962513923645},{"id":"https://openalex.org/keywords/population-pressure","display_name":"Population pressure","score":0.6570449471473694},{"id":"https://openalex.org/keywords/population-density","display_name":"Population density","score":0.6536322832107544},{"id":"https://openalex.org/keywords/logistic-function","display_name":"Logistic function","score":0.4188573360443115},{"id":"https://openalex.org/keywords/population-size","display_name":"Population size","score":0.41042208671569824},{"id":"https://openalex.org/keywords/environmental-science","display_name":"Environmental science","score":0.40572673082351685},{"id":"https://openalex.org/keywords/natural-resource-economics","display_name":"Natural resource economics","score":0.3764776289463043},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.3222966194152832},{"id":"https://openalex.org/keywords/population-growth","display_name":"Population growth","score":0.2670819163322449},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.21627476811408997},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.19978877902030945},{"id":"https://openalex.org/keywords/ecology","display_name":"Ecology","score":0.18286415934562683},{"id":"https://openalex.org/keywords/demography","display_name":"Demography","score":0.14612329006195068},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.11088591814041138},{"id":"https://openalex.org/keywords/market-economy","display_name":"Market economy","score":0.058887869119644165}],"concepts":[{"id":"https://openalex.org/C41866144","wikidata":"https://www.wikidata.org/wiki/Q202398","display_name":"Industrialisation","level":2,"score":0.8141259551048279},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.7158055305480957},{"id":"https://openalex.org/C115540264","wikidata":"https://www.wikidata.org/wiki/Q2945560","display_name":"Biomass (ecology)","level":2,"score":0.6781962513923645},{"id":"https://openalex.org/C2994337132","wikidata":"https://www.wikidata.org/wiki/Q104879295","display_name":"Population pressure","level":4,"score":0.6570449471473694},{"id":"https://openalex.org/C199733313","wikidata":"https://www.wikidata.org/wiki/Q22856","display_name":"Population density","level":3,"score":0.6536322832107544},{"id":"https://openalex.org/C180802074","wikidata":"https://www.wikidata.org/wiki/Q1052379","display_name":"Logistic function","level":2,"score":0.4188573360443115},{"id":"https://openalex.org/C169733012","wikidata":"https://www.wikidata.org/wiki/Q1613416","display_name":"Population size","level":3,"score":0.41042208671569824},{"id":"https://openalex.org/C39432304","wikidata":"https://www.wikidata.org/wiki/Q188847","display_name":"Environmental science","level":0,"score":0.40572673082351685},{"id":"https://openalex.org/C175605778","wikidata":"https://www.wikidata.org/wiki/Q3299701","display_name":"Natural resource economics","level":1,"score":0.3764776289463043},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.3222966194152832},{"id":"https://openalex.org/C77352025","wikidata":"https://www.wikidata.org/wiki/Q386191","display_name":"Population growth","level":3,"score":0.2670819163322449},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.21627476811408997},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.19978877902030945},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.18286415934562683},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.14612329006195068},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.11088591814041138},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.058887869119644165},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793962313500220","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793962313500220","pdf_url":null,"source":{"id":"https://openalex.org/S107361000","display_name":"Advances in Complex Systems","issn_l":"0219-5259","issn":["0219-5259","1793-6802","1793-9615","1793-9623"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Modeling, Simulation, and Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320721","display_name":"Council of Scientific and Industrial Research, India","ror":"https://ror.org/021wm7p51"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W192902315","https://openalex.org/W1534839506","https://openalex.org/W1599192816","https://openalex.org/W1965361147","https://openalex.org/W1969086642","https://openalex.org/W2006076467","https://openalex.org/W2018421260","https://openalex.org/W2019330388","https://openalex.org/W2030617758","https://openalex.org/W2033952910","https://openalex.org/W2040849424","https://openalex.org/W2042835309","https://openalex.org/W2045876047","https://openalex.org/W2053952452","https://openalex.org/W2057761253","https://openalex.org/W2088223013","https://openalex.org/W2121511111","https://openalex.org/W2163731700"],"related_works":["https://openalex.org/W1992716791","https://openalex.org/W1989368483","https://openalex.org/W2370994497","https://openalex.org/W2749521234","https://openalex.org/W4250359051","https://openalex.org/W1965388417","https://openalex.org/W2464021962","https://openalex.org/W3215791032","https://openalex.org/W3189492978","https://openalex.org/W3156292486"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"a":[3],"nonlinear":[4],"mathematical":[5],"model":[6,108],"is":[7,35,43,61,98,134,140,167,170],"proposed":[8],"and":[9,22,52,69],"analyzed":[10],"to":[11,93,100,103,123],"study":[12],"the":[13,39,53,65,70,76,95,104,113,117,126,147,162,175,183],"depletion":[14],"of":[15,29,49,55,67,72,80,87,119,130,153],"forestry":[16,50,81,131,154,184],"resources":[17,51,82,155,185],"caused":[18],"simultaneously":[19],"by":[20,142],"population":[21,23,30,56,68,96,105,114,138,176],"pressure":[24,115,139,177],"augmented":[25,178],"industrialization.":[26],"The":[27,84,107],"control":[28,94,166],"pressure,":[31,97],"using":[32,143],"economic":[33,88,145],"efforts":[34],"also":[36,171],"considered":[37,99],"in":[38,125,149],"modeling":[40],"process.":[41],"It":[42,60,133,169],"assumed":[44,63],"that":[45,64,111,136,173],"cumulative":[46,77,85,127,150],"biomass":[47,78,128,151],"density":[48,54,66,79,86,129,152],"follow":[57],"logistic":[58],"models.":[59],"further":[62],"level":[71,118],"industrialization":[73,120,179],"increase":[74],"as":[75,112],"increases.":[83],"efforts,":[89,146],"which":[90],"are":[91],"applied":[92],"be":[101,157],"proportional":[102],"pressure.":[106],"analysis":[109],"shows":[110],"increases,":[116],"increases":[121,180],"leading":[122],"decrease":[124,148],"resources.":[132],"found":[135],"if":[137,174],"controlled":[141],"some":[144],"can":[156],"made":[158],"much":[159],"less":[160],"than":[161],"case":[163],"when":[164],"no":[165],"applied.":[168],"noted":[172],"without":[181],"control,":[182],"may":[186],"become":[187],"extinct.":[188]},"counts_by_year":[{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
