2020/04/24 by Cristiana J. Silva, Delfim F. M. Torres
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #q-bio.PE #physics.soc-ph #msc:92D30
paper · pdf · doi:10.1007/978-3-030-49896-2_6
published as Studies in Systems, Decision and Control 302 (2020), 155--179 · This is a preprint of the following paper: C. J. Silva and D. F. M. Torres, On SICA models for HIV transmission, published in 'Mathematical Modelling and Analysis of Infectious Diseases', edited by K. Hattaf and H. Dutta, Springer Nature Switzerland AG. Submitted 28/Dec/2019; revised 21/Apr/2020; accepted 24/Apr/2020. arXiv admin note: text overlap with arXiv:1703.06446, arXiv:1612.00732, arXiv:1812.06965
arxiv created 2020/04/24 · arxiv updated 2020/08/10
We revisit the SICA (Susceptible-Infectious-Chronic-AIDS) mathematical model for transmission dynamics of the human immunodeficiency virus (HIV) with varying population size in a homogeneously mixing population. We consider SICA models given by systems of ordinary differential equations and some generalizations given by systems with fractional and stochastic differential operators. Local and global stability results are proved for deterministic, fractional, and stochastic-type SICA models. Two case studies, in Cape Verde and Morocco, are investigated.