{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,27]],"date-time":"2026-02-27T17:32:38Z","timestamp":1772213558384,"version":"3.50.1"},"reference-count":32,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2020,10,29]],"date-time":"2020-10-29T00:00:00Z","timestamp":1603929600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Zhiming Li","award":["XJEDU2017M001, 2018Q011"],"award-info":[{"award-number":["XJEDU2017M001, 2018Q011"]}]},{"name":"Zhiming Li","award":["U1703237, 11661076, 12061070"],"award-info":[{"award-number":["U1703237, 11661076, 12061070"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>Sub-Saharan Africa has been the epicenter of the outbreak since the spread of acquired immunodeficiency syndrome (AIDS) began to be prevalent. This article proposes several regression models to investigate the relationships between the HIV\/AIDS epidemic and socioeconomic factors (the gross domestic product per capita, and population density) in ten countries of Sub-Saharan Africa, for 2011\u20132016. The maximum likelihood method was used to estimate the unknown parameters of these models along with the Newton\u2013Raphson procedure and Fisher scoring algorithm. Comparing these regression models, there exist significant spatiotemporal non-stationarity and auto-correlations between the HIV\/AIDS epidemic and two socioeconomic factors. Based on the empirical results, we suggest that the geographically and temporally weighted Poisson autoregressive (GTWPAR) model is more suitable than other models, and has the better fitting results.<\/jats:p>","DOI":"10.3390\/e22111230","type":"journal-article","created":{"date-parts":[[2020,10,29]],"date-time":"2020-10-29T09:44:53Z","timestamp":1603964693000},"page":"1230","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":11,"title":["Analysis of HIV\/AIDS Epidemic and Socioeconomic Factors in Sub-Saharan Africa"],"prefix":"10.3390","volume":"22","author":[{"given":"Shuman","family":"Sun","sequence":"first","affiliation":[{"name":"College of Mathematics and System Science, Xinjiang University, Urumqi 830046, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6570-6325","authenticated-orcid":false,"given":"Zhiming","family":"Li","sequence":"additional","affiliation":[{"name":"College of Mathematics and System Science, Xinjiang University, Urumqi 830046, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Huiguo","family":"Zhang","sequence":"additional","affiliation":[{"name":"College of Mathematics and System Science, Xinjiang University, Urumqi 830046, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Haijun","family":"Jiang","sequence":"additional","affiliation":[{"name":"College of Mathematics and System Science, Xinjiang University, Urumqi 830046, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xijian","family":"Hu","sequence":"additional","affiliation":[{"name":"College of Mathematics and System Science, Xinjiang University, Urumqi 830046, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2020,10,29]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"61","DOI":"10.1111\/odi.12391","article-title":"Current ethical issues in HIV\/AIDS research and HIV\/AIDS care","volume":"22","author":"Hlongwa","year":"2016","journal-title":"Oral Dis."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"2011","DOI":"10.1016\/S0140-6736(02)08823-2","article-title":"The spread and effect of HIV-1 infection in sub-Saharan Africa","volume":"359","author":"Buve","year":"2002","journal-title":"Lancet"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"168","DOI":"10.1136\/jech-2017-209713","article-title":"High percentage of undiagnosed HIV cases within a hyperendemic South African community: A population-based study","volume":"72","author":"Vandormael","year":"2018","journal-title":"J. Epidemiol Community Health"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"224","DOI":"10.1093\/infdis\/jit150","article-title":"Antiretroviral therapy and pre-exposure prophylaxis: Combined impact on HIV transmission and drug resistance in South Africa","volume":"208","author":"Abbas","year":"2013","journal-title":"J. Infect. Dis."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1017\/S0021932004006534","article-title":"Socioeconomic status as a risk factor for HIV infection in women in East, Central and Southern Africa: A systematic review","volume":"37","author":"Wojcicki","year":"2005","journal-title":"J. Biosoc. Sci."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"37","DOI":"10.2989\/16085900509490340","article-title":"Gendered socioeconomic conditions and HIV risk behaviours among young people in South Africa","volume":"4","author":"Hallman","year":"2005","journal-title":"Afr. J. AIDS Res."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"14","DOI":"10.4102\/sajhivmed.v13i1.153","article-title":"Why have socioeconomic explanations been favoured over cultural ones in explaining the extensive spread of hiv in south africa?","volume":"13","author":"Chris","year":"2012","journal-title":"S. Afr. J. HIV Med."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"14","DOI":"10.1136\/sti.2004.010157","article-title":"Projecting the demographic consequences of adult hiv prevalence trends: The spectrum projection package","volume":"80","author":"Stover","year":"2004","journal-title":"Sex. Transm. Infect."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"360","DOI":"10.1080\/01621459.1992.10475215","article-title":"Statistical analysis of the time dependence of HIV infectivity based on partner study data","volume":"87","author":"Shiboski","year":"1992","journal-title":"J. Am. Stat. Assoc."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"S497","DOI":"10.1097\/QAD.0000000000000453","article-title":"Assessing and adjusting for differences between hiv prevalence estimates derived from national population-based surveys and antenatal care surveillance, with applications for spectrum 2013","volume":"28","author":"Marsh","year":"2014","journal-title":"AIDS"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"22","DOI":"10.1186\/s12916-018-1006-x","article-title":"Geographic variation in sexual behavior can explain geospatial heterogeneity in the severity of the HIV epidemic in Malawi","volume":"16","author":"Palk","year":"2018","journal-title":"BMC Med."},{"key":"ref_12","first-page":"370","article-title":"Generalized linear models","volume":"135","author":"Nelder","year":"1972","journal-title":"J. R. Stat. Soc."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"274","DOI":"10.1080\/00224065.1997.11979769","article-title":"A tutorial on generalized linear models","volume":"29","author":"Myers","year":"1997","journal-title":"J. Qual. Technol."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"828","DOI":"10.1094\/PHYTO.1997.87.8.828","article-title":"Effect of strawberry density on the spread of anthracnose caused by colletotrichum acutatum","volume":"87","author":"Madden","year":"1997","journal-title":"Phytopathology"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"89","DOI":"10.1016\/S0304-3800(02)00204-1","article-title":"Generalized linear and generalized additive models in studies of species distributions: Setting the scene","volume":"157","author":"Guisan","year":"2002","journal-title":"Ecol. Model."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"421","DOI":"10.2307\/2983152","article-title":"A review of methods for the statistical analysis of spatial patterns of disease","volume":"154","author":"Marshall","year":"1991","journal-title":"J. R. Stat. Soc."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"281","DOI":"10.1111\/j.1538-4632.1996.tb00936.x","article-title":"Geographically weighted regression: A method for exploring spatial nonstationarity","volume":"28","author":"Brunsdon","year":"1996","journal-title":"Geogr. Anal."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"2695","DOI":"10.1002\/sim.2129","article-title":"Geographically weighted Poisson regression for disease association mapping","volume":"24","author":"Nakaya","year":"2005","journal-title":"Stat. Med."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"676","DOI":"10.1016\/j.aap.2009.10.016","article-title":"Development of planning level transportation safety tools using geographically weighted Poisson regression","volume":"42","author":"Hadayeghi","year":"2010","journal-title":"Accid. Anal. Prev."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"14","DOI":"10.1016\/j.fishres.2016.03.024","article-title":"Modeling spatially-varying ecological relationships using geographically weighted generalized linear model: A simulation study based on longline seabird bycatch","volume":"181","author":"Li","year":"2016","journal-title":"Fish. Res."},{"key":"ref_21","first-page":"160","article-title":"Spatial econometrics: Methods and models","volume":"85","author":"Anselin","year":"1990","journal-title":"J. Am. Stat. Assoc."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"445","DOI":"10.1890\/0012-9615(2002)072[0445:SAAAMI]2.0.CO;2","article-title":"Spatial Autocorrelation and Autoregressive Models in Ecology","volume":"72","author":"Lichstein","year":"2002","journal-title":"Ecol. Monogr."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"1899","DOI":"10.1111\/j.1468-0262.2004.00558.x","article-title":"Asymptotic distributions of quasi-maximum likelihood estimators for spatial autoregressive models","volume":"72","author":"Lee","year":"2004","journal-title":"Econometrica"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"497","DOI":"10.1111\/0022-4146.00146","article-title":"Some notes on parametric significance tests for geographically weighted regression","volume":"39","author":"Brunsdon","year":"2010","journal-title":"J. Reg. Sci."},{"key":"ref_25","unstructured":"Zhang, Y.H. (2017). Generalized Space Variable Coefficient Autoregressive Model and Its Application in the Impact of Macroscopic-Factors on the HIV\/AIDS Incidence. [Master\u2019s Dissertation, Xinjiang University]."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"373","DOI":"10.1007\/s10651-013-0259-y","article-title":"A two-step local smoothing approach for exploring spatio-temporal patterns with application to the analysis of precipitation in the mainland of China during 1986\u20132005","volume":"21","author":"Yan","year":"2014","journal-title":"Environ. Ecol. Stat."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"431","DOI":"10.1111\/gean.12071","article-title":"Geographical and temporal weighted regression (GTWR)","volume":"47","author":"Fotheringham","year":"2015","journal-title":"Geogr. Anal."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"383","DOI":"10.1080\/13658810802672469","article-title":"Geographically and temporally weighted regression for modeling spatio-temporal variation in house prices","volume":"24","author":"Huang","year":"2010","journal-title":"Int. J. Geogr. Inf. Sci."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"15","DOI":"10.1023\/A:1007799028599","article-title":"Spatiotemporal autoregressive models of neighborhood effects","volume":"17","author":"Pace","year":"1998","journal-title":"J. R. Estate Financ. Econ."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"1186","DOI":"10.1080\/13658816.2013.878463","article-title":"A geographically and temporally weighted autoregressive model with application to housing prices","volume":"28","author":"Wu","year":"2014","journal-title":"Int. J. Geogr. Inf. Sci."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"227","DOI":"10.1068\/a130063p","article-title":"A unified bootstrap test for local patterns of spatio-temporal association","volume":"47","author":"Yan","year":"2015","journal-title":"Environ. Plan. A"},{"key":"ref_32","unstructured":"Wu, X.Z. (2013). Multivariate analysis. Complex Data Statistical Methods Application Based on R, China Renmin University Press."}],"container-title":["Entropy"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1099-4300\/22\/11\/1230\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T10:30:30Z","timestamp":1760178630000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1099-4300\/22\/11\/1230"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,10,29]]},"references-count":32,"journal-issue":{"issue":"11","published-online":{"date-parts":[[2020,11]]}},"alternative-id":["e22111230"],"URL":"https:\/\/doi.org\/10.3390\/e22111230","relation":{},"ISSN":["1099-4300"],"issn-type":[{"value":"1099-4300","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,10,29]]}}}