2016/12/02 by Cristiana J. Silva, Delfim F. M. Torres · 88 citations
Biochemistry, Genetics and Molecular Biology · Economics, Econometrics and Finance · Mathematics · Medicine · #COVID-19 epidemiological studies #Cape verde #Computer science #Demography #Econometrics #Economics #Ethnology #Geography #HIV/AIDS Impact and Responses #Human immunodeficiency virus (HIV) #Machine learning #Mathematical and Theoretical Epidemiology and Ecology Models #Mathematics #Medicine #Sociology #Stability (learning theory) #Task (project management) #Telecommunications #Transmission (telecommunications) #Virology #math.DS #msc:34C60 #msc:34D23 #msc:92D30 #q-bio.PE
paper · pdf · doi:10.1016/j.ecocom.2016.12.001
published in Ecological Complexity 30, 70-75 (Elsevier BV) · This is a preprint of a paper whose final and definite form is with 'Ecological Complexity', ISSN 1476-945X, available at [http://dx.doi.org/10.1016/j.ecocom.2016.12.001]. Submitted 29/April/2016; Revised 21/Oct/2016; Accepted 02/Dec/2016
arxiv created 2016/12/02 · openalex publication_date 2016/12/28 · arxiv updated 2017/05/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We propose a new mathematical model for the transmission dynamics of the human immunodeficiency virus (HIV). Global stability of the unique endemic equilibrium is proved. Then, based on data provided by the "Progress Report on the AIDS response in Cape Verde 2015", we calibrate our model to the cumulative cases of infection by HIV and AIDS from 1987 to 2014 and we show that our model predicts well such reality. Finally, a sensitivity analysis is done for the case study in Cape Verde. We conclude that the goal of the United Nations to end the AIDS epidemic by 2030 is a nontrivial task.