{"id":"https://openalex.org/W2953305877","doi":"https://doi.org/10.1007/s11075-017-0314-0","title":"Optimal homotopy analysis of a chaotic HIV-1 model incorporating AIDS-related cancer cells","display_name":"Optimal homotopy analysis of a chaotic HIV-1 model incorporating AIDS-related cancer cells","publication_year":2017,"publication_date":"2017-03-21","ids":{"openalex":"https://openalex.org/W2953305877","doi":"https://doi.org/10.1007/s11075-017-0314-0","mag":"2953305877"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-017-0314-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-017-0314-0","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","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/A5087672348","display_name":"Jorge Duarte","orcid":"https://orcid.org/0000-0003-2641-3199"},"institutions":[{"id":"https://openalex.org/I141596103","display_name":"University of Lisbon","ror":"https://ror.org/01c27hj86","country_code":"PT","type":"education","lineage":["https://openalex.org/I141596103"]},{"id":"https://openalex.org/I203847022","display_name":"Instituto Polit\u00e9cnico de Lisboa","ror":"https://ror.org/04ea70f07","country_code":"PT","type":"education","lineage":["https://openalex.org/I203847022"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Jorge Duarte","raw_affiliation_strings":["Center for Mathematical Analysis, Geometry and Dynamical Systems, Mathematics Department, Instituto Superior T\u00e9cnico, Universidade de Lisboa, Av. Rovisco Pais 1, 1049-001, Lisboa, Portugal","Instituto Superior de Engenharia de Lisboa - ISEL, Department of Mathematics, Rua Conselheiro Em\u00eddio Navarro 1, 1949-014, Lisboa, Portugal"],"raw_orcid":"https://orcid.org/0000-0003-2641-3199","affiliations":[{"raw_affiliation_string":"Center for Mathematical Analysis, Geometry and Dynamical Systems, Mathematics Department, Instituto Superior T\u00e9cnico, Universidade de Lisboa, Av. Rovisco Pais 1, 1049-001, Lisboa, Portugal","institution_ids":["https://openalex.org/I141596103"]},{"raw_affiliation_string":"Instituto Superior de Engenharia de Lisboa - ISEL, Department of Mathematics, Rua Conselheiro Em\u00eddio Navarro 1, 1949-014, Lisboa, Portugal","institution_ids":["https://openalex.org/I203847022"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047367651","display_name":"Cristina Janu\u00e1rio","orcid":"https://orcid.org/0000-0002-6978-876X"},"institutions":[{"id":"https://openalex.org/I203847022","display_name":"Instituto Polit\u00e9cnico de Lisboa","ror":"https://ror.org/04ea70f07","country_code":"PT","type":"education","lineage":["https://openalex.org/I203847022"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Cristina Janu\u00e1rio","raw_affiliation_strings":["Instituto Superior de Engenharia de Lisboa - ISEL, Department of Mathematics, Rua Conselheiro Em\u00eddio Navarro 1, 1949-014, Lisboa, Portugal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto Superior de Engenharia de Lisboa - ISEL, Department of Mathematics, Rua Conselheiro Em\u00eddio Navarro 1, 1949-014, Lisboa, Portugal","institution_ids":["https://openalex.org/I203847022"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042544540","display_name":"Nuno Martins","orcid":"https://orcid.org/0000-0003-2173-0101"},"institutions":[{"id":"https://openalex.org/I141596103","display_name":"University of Lisbon","ror":"https://ror.org/01c27hj86","country_code":"PT","type":"education","lineage":["https://openalex.org/I141596103"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Nuno Martins","raw_affiliation_strings":["Center for Mathematical Analysis, Geometry and Dynamical Systems, Mathematics Department, Instituto Superior T\u00e9cnico, Universidade de Lisboa, Av. Rovisco Pais 1, 1049-001, Lisboa, Portugal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Mathematical Analysis, Geometry and Dynamical Systems, Mathematics Department, Instituto Superior T\u00e9cnico, Universidade de Lisboa, Av. Rovisco Pais 1, 1049-001, Lisboa, Portugal","institution_ids":["https://openalex.org/I141596103"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089078124","display_name":"C. Correia Ramos","orcid":"https://orcid.org/0000-0002-6772-7920"},"institutions":[{"id":"https://openalex.org/I21803372","display_name":"University of \u00c9vora","ror":"https://ror.org/02gyps716","country_code":"PT","type":"education","lineage":["https://openalex.org/I21803372"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"C. Correia Ramos","raw_affiliation_strings":["Department of Mathematics, University of \u00c9vora, Rua Rom\u00e3o Ramalho, 59, 7000-671, \u00c9vora, Portugal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of \u00c9vora, Rua Rom\u00e3o Ramalho, 59, 7000-671, \u00c9vora, Portugal","institution_ids":["https://openalex.org/I21803372"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031275875","display_name":"Carla Rodrigues","orcid":"https://orcid.org/0000-0002-2988-7464"},"institutions":[{"id":"https://openalex.org/I4210102653","display_name":"Instituto Politecnico de Setubal","ror":"https://ror.org/01bvjz807","country_code":"PT","type":"education","lineage":["https://openalex.org/I4210102653"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Carla Rodrigues","raw_affiliation_strings":["ESTS - Technology Superior School of Setubal, Department of Mathematics, Campus do IPS, Rua Vale de Chaves, Estefanilha, 2914-761, Setubal, Portugal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ESTS - Technology Superior School of Setubal, Department of Mathematics, Campus do IPS, Rua Vale de Chaves, Estefanilha, 2914-761, Setubal, Portugal","institution_ids":["https://openalex.org/I4210102653"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022876719","display_name":"Josep Sardany\u00e9s","orcid":null},"institutions":[{"id":"https://openalex.org/I4210122226","display_name":"Centre de Recerca Matem\u00e0tica","ror":"https://ror.org/020s51w82","country_code":"ES","type":"facility","lineage":["https://openalex.org/I4210122226","https://openalex.org/I4387153040"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Josep Sardany\u00e9s","raw_affiliation_strings":["Centre de Recerca Matem\u00e0tica, Campus de Bellaterra, Edifici C, 08193, Bellaterra, Barcelona, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre de Recerca Matem\u00e0tica, Campus de Bellaterra, Edifici C, 08193, Bellaterra, Barcelona, Spain","institution_ids":["https://openalex.org/I4210122226"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5022876719"],"corresponding_institution_ids":["https://openalex.org/I4210122226"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.2503,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.83239377,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"77","issue":"1","first_page":"261","last_page":"288"},"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":0.9973000288009644,"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":0.9973000288009644,"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/T11020","display_name":"Immune Cell Function and Interaction","score":0.9896000027656555,"subfield":{"id":"https://openalex.org/subfields/2403","display_name":"Immunology"},"field":{"id":"https://openalex.org/fields/24","display_name":"Immunology and Microbiology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9749000072479248,"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":0.68404620885849},{"id":"https://openalex.org/keywords/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.6681432723999023},{"id":"https://openalex.org/keywords/observability","display_name":"Observability","score":0.5779739618301392},{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.5357033610343933},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.49333706498146057},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.4721158742904663},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.43580326437950134},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.42081785202026367},{"id":"https://openalex.org/keywords/homotopy-analysis-method","display_name":"Homotopy analysis method","score":0.41266930103302},{"id":"https://openalex.org/keywords/homotopy","display_name":"Homotopy","score":0.4054124355316162},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.33073312044143677},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2469159960746765},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.22739142179489136},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20220720767974854},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15097007155418396},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11248767375946045}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.68404620885849},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.6681432723999023},{"id":"https://openalex.org/C36299963","wikidata":"https://www.wikidata.org/wiki/Q1369844","display_name":"Observability","level":2,"score":0.5779739618301392},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.5357033610343933},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49333706498146057},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.4721158742904663},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.43580326437950134},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.42081785202026367},{"id":"https://openalex.org/C173636693","wikidata":"https://www.wikidata.org/wiki/Q17030668","display_name":"Homotopy analysis method","level":3,"score":0.41266930103302},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.4054124355316162},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.33073312044143677},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2469159960746765},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.22739142179489136},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20220720767974854},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15097007155418396},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11248767375946045},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s11075-017-0314-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-017-0314-0","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:dspace.uevora.pt:10174/22778","is_oa":false,"landing_page_url":"http://hdl.handle.net/10174/22778","pdf_url":null,"source":{"id":"https://openalex.org/S4306402433","display_name":"Portuguese National Funding Agency for Science, Research and Technology (RCAAP Project by FCT)","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":null,"raw_type":"journal article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Good health and well-being","score":0.8500000238418579,"id":"https://metadata.un.org/sdg/3"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320312058","display_name":"\u201cla Caixa\u201d Foundation","ror":"https://ror.org/03zhx9h04"},{"id":"https://openalex.org/F4320315803","display_name":"Centres de Recerca de Catalunya","ror":null},{"id":"https://openalex.org/F4320321505","display_name":"Generalitat de Catalunya","ror":"https://ror.org/01bg62x04"},{"id":"https://openalex.org/F4320334779","display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","ror":"https://ror.org/00snfqn58"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W261908445","https://openalex.org/W1496030143","https://openalex.org/W1574529805","https://openalex.org/W1955239150","https://openalex.org/W1974096769","https://openalex.org/W1976196891","https://openalex.org/W1977344101","https://openalex.org/W1981164507","https://openalex.org/W1981620591","https://openalex.org/W1981785785","https://openalex.org/W1986360125","https://openalex.org/W1993918978","https://openalex.org/W1999198553","https://openalex.org/W2011777424","https://openalex.org/W2014571799","https://openalex.org/W2015689071","https://openalex.org/W2017708812","https://openalex.org/W2018553591","https://openalex.org/W2019944347","https://openalex.org/W2022378244","https://openalex.org/W2032049671","https://openalex.org/W2032438721","https://openalex.org/W2033593383","https://openalex.org/W2041777499","https://openalex.org/W2043134929","https://openalex.org/W2045035717","https://openalex.org/W2050143329","https://openalex.org/W2057193181","https://openalex.org/W2063752885","https://openalex.org/W2071448055","https://openalex.org/W2081746518","https://openalex.org/W2082635546","https://openalex.org/W2082658654","https://openalex.org/W2089692155","https://openalex.org/W2094113235","https://openalex.org/W2115095238","https://openalex.org/W2117692326","https://openalex.org/W2119794696","https://openalex.org/W2124792425","https://openalex.org/W2134086237","https://openalex.org/W2137267461","https://openalex.org/W2172166318","https://openalex.org/W4254879547","https://openalex.org/W4300506249"],"related_works":["https://openalex.org/W2046459260","https://openalex.org/W2967463586","https://openalex.org/W2765830098","https://openalex.org/W1971989957","https://openalex.org/W3157641275","https://openalex.org/W2517338020","https://openalex.org/W4312300846","https://openalex.org/W2362256999","https://openalex.org/W2007245702","https://openalex.org/W2048873866"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-05-05T08:41:31.759640","created_date":"2025-10-10T00:00:00"}