{"id":"https://openalex.org/W1483979103","doi":"https://doi.org/10.1155/2013/375094","title":"A Numerical Comparison for a Discrete HIV Infection of CD4+T-Cell Model Derived from Nonstandard Numerical Scheme","display_name":"A Numerical Comparison for a Discrete HIV Infection of CD4+T-Cell Model Derived from Nonstandard Numerical Scheme","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W1483979103","doi":"https://doi.org/10.1155/2013/375094","mag":"1483979103"},"language":"en","primary_location":{"id":"doi:10.1155/2013/375094","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/375094","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/375094.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"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","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","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/jam/2013/375094.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079428307","display_name":"Mevl\u00fcde YAKIT ONGUN","orcid":"https://orcid.org/0000-0003-2363-9395"},"institutions":[{"id":"https://openalex.org/I175124709","display_name":"S\u00fcleyman Demirel \u00dcniversitesi","ror":"https://ror.org/04fjtte88","country_code":"TR","type":"education","lineage":["https://openalex.org/I175124709"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Mevl\u00fcde Yak\u0131t Ongun","raw_affiliation_strings":["Department of Mathematics, Suleyman Demirel University, 32260 Isparta, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Suleyman Demirel University, 32260 Isparta, Turkey","institution_ids":["https://openalex.org/I175124709"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026547254","display_name":"\u0130lkem Turhan \u00c7etinkaya","orcid":"https://orcid.org/0000-0002-5520-310X"},"institutions":[{"id":"https://openalex.org/I3018710136","display_name":"K\u00fctahya Dumlup\u0131nar \u00dcniversitesi","ror":"https://ror.org/03jtrja12","country_code":"TR","type":"education","lineage":["https://openalex.org/I3018710136"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"\u0130lkem Turhan","raw_affiliation_strings":["Department of Mathematics, Dumlup\u0131nar University, 43100 K\u00fctahya, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Dumlup\u0131nar University, 43100 K\u00fctahya, Turkey","institution_ids":["https://openalex.org/I3018710136"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5079428307"],"corresponding_institution_ids":["https://openalex.org/I175124709"],"apc_list":{"value":1130,"currency":"USD","value_usd":1130},"apc_paid":{"value":1130,"currency":"USD","value_usd":1130},"fwci":0.6401,"has_fulltext":true,"cited_by_count":13,"citation_normalized_percentile":{"value":0.73754516,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"2013","issue":null,"first_page":"1","last_page":"9"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9969000220298767,"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/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9700999855995178,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7734469175338745},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6871936917304993},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.6358957290649414},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.6271719336509705},{"id":"https://openalex.org/keywords/eulers-formula","display_name":"Euler's formula","score":0.5110763311386108},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.5062348246574402},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.49793148040771484},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4962943196296692},{"id":"https://openalex.org/keywords/numerical-stability","display_name":"Numerical stability","score":0.4925733208656311},{"id":"https://openalex.org/keywords/runge\u2013kutta-methods","display_name":"Runge\u2013Kutta methods","score":0.4776141345500946},{"id":"https://openalex.org/keywords/euler-method","display_name":"Euler method","score":0.4361843466758728},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3458482027053833},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11581739783287048},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0970870852470398},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.056269943714141846}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7734469175338745},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6871936917304993},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.6358957290649414},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.6271719336509705},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.5110763311386108},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.5062348246574402},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.49793148040771484},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4962943196296692},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.4925733208656311},{"id":"https://openalex.org/C181582579","wikidata":"https://www.wikidata.org/wiki/Q725944","display_name":"Runge\u2013Kutta methods","level":3,"score":0.4776141345500946},{"id":"https://openalex.org/C75380026","wikidata":"https://www.wikidata.org/wiki/Q868454","display_name":"Euler method","level":3,"score":0.4361843466758728},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3458482027053833},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11581739783287048},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0970870852470398},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.056269943714141846},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2013/375094","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/375094","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/375094.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"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","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1394806085","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jam/1394806085","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:doaj.org/article:4a3fc6d56f0b42bc9ebbd402356d3256","is_oa":true,"landing_page_url":"https://doaj.org/article/4a3fc6d56f0b42bc9ebbd402356d3256","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2013 (2013)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2013/375094","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/375094","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/375094.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"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","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/3","score":0.8500000238418579,"display_name":"Good health and well-being"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1483979103.pdf","grobid_xml":"https://content.openalex.org/works/W1483979103.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W648809531","https://openalex.org/W658883844","https://openalex.org/W1967853550","https://openalex.org/W1974133499","https://openalex.org/W1980026752","https://openalex.org/W1980742924","https://openalex.org/W1990390303","https://openalex.org/W2016368834","https://openalex.org/W2021433476","https://openalex.org/W2024125882","https://openalex.org/W2030185456","https://openalex.org/W2034514851","https://openalex.org/W2038276476","https://openalex.org/W2042628558","https://openalex.org/W2044403736","https://openalex.org/W2049546380","https://openalex.org/W2052906928","https://openalex.org/W2063894766","https://openalex.org/W2071448055","https://openalex.org/W2076346435","https://openalex.org/W2082823632","https://openalex.org/W2085425687","https://openalex.org/W2094456552","https://openalex.org/W2103568402","https://openalex.org/W2115470931","https://openalex.org/W2130719514","https://openalex.org/W2153212297","https://openalex.org/W2588081979"],"related_works":["https://openalex.org/W2189596786","https://openalex.org/W2474709654","https://openalex.org/W2301897886","https://openalex.org/W2347333582","https://openalex.org/W2243194968","https://openalex.org/W4382053489","https://openalex.org/W4386506673","https://openalex.org/W2917826337","https://openalex.org/W2089955609","https://openalex.org/W2039299714"],"abstract_inverted_index":{"A":[0],"nonstandard":[1,62],"numerical":[2,63,83],"scheme":[3,64],"has":[4,24],"been":[5],"constructed":[6],"and":[7,46,72,92],"analyzed":[8],"for":[9,51],"a":[10],"mathematical":[11],"model":[12,32],"that":[13],"describes":[14],"HIV":[15],"infection":[16],"of":[17,55,81],"CD4+T":[18],"cells.":[19],"This":[20,60],"new":[21],"discrete":[22,57],"system":[23],"the":[25,30,37,68,79,85],"same":[26,38],"stability":[27,41,54],"properties":[28],"as":[29],"continuous":[31],"and,":[33],"particularly,":[34],"it":[35],"preserves":[36],"local":[39,52],"asymptotic":[40,53],"properties.":[42],"Linearized":[43],"Stability":[44],"Theory":[45],"Schur-Cohn":[47],"criteria":[48],"are":[49,88],"used":[50],"this":[56,82],"time":[58],"model.":[59],"proposed":[61],"is":[65],"compared":[66],"with":[67],"classical":[69],"explicit":[70],"Euler":[71],"fourth":[73],"order":[74],"Runge-Kutta":[75],"methods.":[76],"To":[77],"show":[78],"efficiency":[80],"scheme,":[84],"simulated":[86],"results":[87],"given":[89],"in":[90],"tables":[91],"figures.":[93]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2016-06-24T00:00:00"}
