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http://hdl.handle.net/10773/36890
Title: | Discrete-time system of an intracellular delayed HIV model with CTL immune response |
Author: | Vaz, Sandra Torres, Delfim F. M. |
Keywords: | Compartmental models Stability analysis Lyapunov functions Mickens method |
Issue Date: | 2022 |
Publisher: | Springer |
Abstract: | In [Math. Comput. Sci. 12 (2018), no. 2, 111–127], a delayed model describing the dynamics of the Human Immunodeficiency Virus (HIV) with Cyto- toxic T Lymphocytes (CTL) immune response is investigated by Allali, Harroudi and Torres. Here, we propose a discrete-time version of that model, which includes four nonlinear difference equations describing the evolution of uninfected, infected, free HIV viruses, and CTL immune response cells and includes intracellular delay. Using suitable Lyapunov functions, we prove the global stability of the disease free equilib- rium point and of the two endemic equilibrium points. We finalize by making some simulations and showing, numerically, the consistence of the obtained theoretical results. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/36890 |
DOI: | 10.1007/978-3-031-17558-9_12 |
ISBN: | 978-3-031-17557-2 |
Publisher Version: | https://doi.org/10.1007/978-3-031-17558-9_12 |
Appears in Collections: | CIDMA - Capítulo de livro SCG - Capítulo de livro |
Files in This Item:
File | Description | Size | Format | |
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[509]Vaz_Torres.pdf | 300.7 kB | Adobe PDF |
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