A dynamically-consistent nonstandard finite difference scheme for the SICA model
Numerical Analysis
2021-05-28 v2 Numerical Analysis
Populations and Evolution
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.
Cite
@article{arxiv.2105.10826,
title = {A dynamically-consistent nonstandard finite difference scheme for the SICA model},
author = {Sandra Vaz and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:2105.10826},
year = {2021}
}
Comments
This is a preprint of a paper whose final and definite form is published Open Access in 'Mathematical Biosciences and Engineering' (ISSN 1551-0018), available at [https://doi.org/10.3934/mbe.2021231]. Submitted 23/March/2021; Revised 05/May/2021; Accepted 20/May/2021; Published 26/May/2021