On SICA models for HIV transmission
arXiv:2004.11903 · doi:10.1007/978-3-030-49896-2_6
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.
arXiv commentThis 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
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- A dynamically-consistent nonstandard finite difference scheme for the SICA model
- Model-free based control of a HIV/AIDS prevention model
- Optimal control of vaccination and plasma transfusion with potential usefulness for COVID-19
- Near-optimal control of a stochastic SICA model with imprecise parameters