Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/31433
Title: | A dynamically-consistent nonstandard finite difference scheme for the SICA model |
Author: | Vaz, Sandra Torres, Delfim F. M. |
Keywords: | SICA model Compartmental models Stability analysis Schur-Cohn criterion Lyapunov functions Discretization by Mickens method |
Issue Date: | 26-May-2021 |
Publisher: | AIMS Press |
Abstract: | In this work, we derive a nonstandard finite difference scheme for the SICA (Susceptible–Infected–Chronic–AIDS) model and analyze the dynamical properties of the discretized system. We prove that the discretized model is dynamically consistent with the continuous, maintaining the essential properties of the standard SICA model, namely, the positivity and boundedness of the solutions, equilibrium points, and their local and global stability. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/31433 |
DOI: | 10.3934/mbe.2021231 |
ISSN: | 1547-1063 |
Publisher Version: | https://www.aimspress.com/article/doi/10.3934/mbe.2021231 |
Appears in Collections: | CIDMA - Artigos DMat - Artigos SCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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[481]Vaz_Torres-MBE.pdf | 726.94 kB | Adobe PDF | View/Open |
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