{"id":"https://openalex.org/W4313250791","doi":"https://doi.org/10.1155/2022/1839796","title":"Solving Multispecies Lotka\u2013Volterra Equations by the Daftardar-Gejji and Jafari Method","display_name":"Solving Multispecies Lotka\u2013Volterra Equations by the Daftardar-Gejji and Jafari Method","publication_year":2022,"publication_date":"2022-12-26","ids":{"openalex":"https://openalex.org/W4313250791","doi":"https://doi.org/10.1155/2022/1839796"},"language":"en","primary_location":{"id":"doi:10.1155/2022/1839796","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2022/1839796","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2022/1839796.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/ijmms/2022/1839796.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5012840123","display_name":"Belal Batiha","orcid":"https://orcid.org/0000-0002-2393-4418"},"institutions":[{"id":"https://openalex.org/I27570832","display_name":"Jadara University","ror":"https://ror.org/001drnv35","country_code":"JO","type":"education","lineage":["https://openalex.org/I27570832"]}],"countries":["JO"],"is_corresponding":true,"raw_author_name":"Belal Batiha","raw_affiliation_strings":["Department of Mathematics, Faculty of Science and Information Technology, Jadara University, Irbid, Jordan"],"raw_orcid":"https://orcid.org/0000-0002-2393-4418","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science and Information Technology, Jadara University, Irbid, Jordan","institution_ids":["https://openalex.org/I27570832"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011299544","display_name":"F. Ghanim","orcid":"https://orcid.org/0000-0001-8586-2539"},"institutions":[{"id":"https://openalex.org/I29891158","display_name":"University of Sharjah","ror":"https://ror.org/00engpz63","country_code":"AE","type":"education","lineage":["https://openalex.org/I29891158"]}],"countries":["AE"],"is_corresponding":false,"raw_author_name":"Firas Ghanim","raw_affiliation_strings":["College of Sciences, University of Sharjah, Sharjah, UAE"],"raw_orcid":"https://orcid.org/0000-0001-8586-2539","affiliations":[{"raw_affiliation_string":"College of Sciences, University of Sharjah, Sharjah, UAE","institution_ids":["https://openalex.org/I29891158"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091226249","display_name":"Osama Ala\u2019yed","orcid":null},"institutions":[{"id":"https://openalex.org/I27570832","display_name":"Jadara University","ror":"https://ror.org/001drnv35","country_code":"JO","type":"education","lineage":["https://openalex.org/I27570832"]}],"countries":["JO"],"is_corresponding":false,"raw_author_name":"O. Alayed","raw_affiliation_strings":["Department of Mathematics, Faculty of Science and Information Technology, Jadara University, Irbid, Jordan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science and Information Technology, Jadara University, Irbid, Jordan","institution_ids":["https://openalex.org/I27570832"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033465069","display_name":"Raed Hatamleh","orcid":"https://orcid.org/0000-0002-5854-8541"},"institutions":[{"id":"https://openalex.org/I27570832","display_name":"Jadara University","ror":"https://ror.org/001drnv35","country_code":"JO","type":"education","lineage":["https://openalex.org/I27570832"]}],"countries":["JO"],"is_corresponding":false,"raw_author_name":"Ra\u2019ed Hatamleh","raw_affiliation_strings":["Department of Mathematics, Faculty of Science and Information Technology, Jadara University, Irbid, Jordan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science and Information Technology, Jadara University, Irbid, Jordan","institution_ids":["https://openalex.org/I27570832"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083477678","display_name":"Ahmed Salem Heilat","orcid":null},"institutions":[{"id":"https://openalex.org/I27570832","display_name":"Jadara University","ror":"https://ror.org/001drnv35","country_code":"JO","type":"education","lineage":["https://openalex.org/I27570832"]}],"countries":["JO"],"is_corresponding":false,"raw_author_name":"Ahmed Salem Heilat","raw_affiliation_strings":["Department of Mathematics, Faculty of Science and Information Technology, Jadara University, Irbid, Jordan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science and Information Technology, Jadara University, Irbid, Jordan","institution_ids":["https://openalex.org/I27570832"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087520793","display_name":"Hamzeh Zureigat","orcid":"https://orcid.org/0000-0002-9668-9986"},"institutions":[{"id":"https://openalex.org/I27570832","display_name":"Jadara University","ror":"https://ror.org/001drnv35","country_code":"JO","type":"education","lineage":["https://openalex.org/I27570832"]}],"countries":["JO"],"is_corresponding":false,"raw_author_name":"Hamzeh Zureigat","raw_affiliation_strings":["Department of Mathematics, Faculty of Science and Information Technology, Jadara University, Irbid, Jordan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science and Information Technology, Jadara University, Irbid, Jordan","institution_ids":["https://openalex.org/I27570832"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034511816","display_name":"Omar Bazighifan","orcid":"https://orcid.org/0000-0002-7251-9608"},"institutions":[{"id":"https://openalex.org/I319841309","display_name":"Hadhramout University","ror":"https://ror.org/02kv0px94","country_code":"YE","type":"education","lineage":["https://openalex.org/I319841309"]}],"countries":["YE"],"is_corresponding":false,"raw_author_name":"Omar Bazighifan","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Hadhramout University, Hadhramout 50512, Yemen"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Hadhramout University, Hadhramout 50512, Yemen","institution_ids":["https://openalex.org/I319841309"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5012840123"],"corresponding_institution_ids":["https://openalex.org/I27570832"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":1.5069,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.81182654,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"2022","issue":null,"first_page":"1","last_page":"7"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.974399983882904,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13322","display_name":"Hibiscus Plant Research Studies","score":0.9031999707221985,"subfield":{"id":"https://openalex.org/subfields/3004","display_name":"Pharmacology"},"field":{"id":"https://openalex.org/fields/30","display_name":"Pharmacology, Toxicology and Pharmaceutics"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/adomian-decomposition-method","display_name":"Adomian decomposition method","score":0.8924118280410767},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.699390172958374},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.6385260820388794},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.6118823885917664},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5482717752456665},{"id":"https://openalex.org/keywords/decomposition-method","display_name":"Decomposition method (queueing theory)","score":0.528753936290741},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.41771191358566284},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4037174582481384},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.35346636176109314},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3308321237564087},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3053838610649109},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08227989077568054},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05485260486602783}],"concepts":[{"id":"https://openalex.org/C120317633","wikidata":"https://www.wikidata.org/wiki/Q3042796","display_name":"Adomian decomposition method","level":3,"score":0.8924118280410767},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.699390172958374},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.6385260820388794},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.6118823885917664},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5482717752456665},{"id":"https://openalex.org/C2778258933","wikidata":"https://www.wikidata.org/wiki/Q16918986","display_name":"Decomposition method (queueing theory)","level":2,"score":0.528753936290741},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.41771191358566284},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4037174582481384},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.35346636176109314},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3308321237564087},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3053838610649109},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08227989077568054},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05485260486602783},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1155/2022/1839796","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2022/1839796","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2022/1839796.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:b5a116624e894cd69fbe80755bb4cb58","is_oa":true,"landing_page_url":"https://doaj.org/article/b5a116624e894cd69fbe80755bb4cb58","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences, Vol 2022 (2022)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2022/1839796","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2022/1839796","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2022/1839796.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4313250791.pdf","grobid_xml":"https://content.openalex.org/works/W4313250791.grobid-xml"},"referenced_works_count":54,"referenced_works":["https://openalex.org/W257442556","https://openalex.org/W1560556759","https://openalex.org/W1965101616","https://openalex.org/W1969004631","https://openalex.org/W1969202999","https://openalex.org/W1969658312","https://openalex.org/W1972165863","https://openalex.org/W1974530528","https://openalex.org/W1984584796","https://openalex.org/W1984853762","https://openalex.org/W1985113155","https://openalex.org/W1985588545","https://openalex.org/W1993072091","https://openalex.org/W2006004305","https://openalex.org/W2006472812","https://openalex.org/W2011284866","https://openalex.org/W2019847857","https://openalex.org/W2021872925","https://openalex.org/W2027683752","https://openalex.org/W2033797319","https://openalex.org/W2040753644","https://openalex.org/W2048713780","https://openalex.org/W2051784853","https://openalex.org/W2054016546","https://openalex.org/W2057448705","https://openalex.org/W2063650003","https://openalex.org/W2074171514","https://openalex.org/W2081801408","https://openalex.org/W2088631736","https://openalex.org/W2089470918","https://openalex.org/W2095363872","https://openalex.org/W2183539203","https://openalex.org/W2185587454","https://openalex.org/W2189148875","https://openalex.org/W2189177354","https://openalex.org/W2238298485","https://openalex.org/W2314482512","https://openalex.org/W2460451334","https://openalex.org/W2487182418","https://openalex.org/W3000391877","https://openalex.org/W3080205334","https://openalex.org/W3104461632","https://openalex.org/W3112823603","https://openalex.org/W3157227012","https://openalex.org/W3198333914","https://openalex.org/W3205638578","https://openalex.org/W4206375820","https://openalex.org/W4236828541","https://openalex.org/W4248094361","https://openalex.org/W4293559794","https://openalex.org/W4296741022","https://openalex.org/W4300963446","https://openalex.org/W4399115939","https://openalex.org/W6987257633"],"related_works":["https://openalex.org/W2089904505","https://openalex.org/W2184238946","https://openalex.org/W1838417290","https://openalex.org/W1977939012","https://openalex.org/W811173482","https://openalex.org/W2028789925","https://openalex.org/W2373977562","https://openalex.org/W2003752139","https://openalex.org/W2618003419","https://openalex.org/W1973792534"],"abstract_inverted_index":{"In":[0],"this":[1,55],"article,":[2],"we":[3],"apply":[4],"the":[5,13,20,26,38],"Daftardar-Gejji":[6],"and":[7,31,43,52],"Jafari":[8],"method":[9,24,29,34,45,56],"(DJM)":[10],"to":[11,71],"solve":[12],"multispecies":[14],"Lotka\u2013Volterra":[15],"equation.":[16],"A":[17],"comparison":[18,70],"between":[19],"DJM,":[21],"differential":[22],"transformation":[23],"(DTM),":[25],"variational":[27],"iteration":[28],"(VIM),":[30],"Adomian":[32],"decomposition":[33],"(ADM)":[35],"shows":[36],"that":[37],"DJM":[39],"is":[40],"a":[41],"reliable":[42],"powerful":[44],"for":[46],"solving":[47],"nonlinear":[48],"equations.":[49],"The":[50,63],"efficiency":[51],"applicability":[53],"of":[54],"are":[57],"confirmed":[58],"by":[59],"considering":[60],"some":[61,72],"examples.":[62],"proposed":[64],"procedure":[65],"provides":[66],"better":[67],"results":[68],"in":[69],"existing":[73],"methods.":[74]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}