On SICA models for HIV transmission
Abstract
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.
Cite
@article{arxiv.2004.11903,
title = {On SICA models for HIV transmission},
author = {Cristiana J. Silva and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:2004.11903},
year = {2020}
}
Comments
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