SICA 模型的动态一致非标准有限差分格式
数值分析
2021-05-28 v2 数值分析
种群与进化
摘要
本文中，我们推导了 SICA（易感-感染-慢性-AIDS）模型的非标准有限差分格式，并分析了离散化系统的动力学性质。我们证明该离散模型与连续模型动态一致，保持了标准 SICA 模型的基本性质，即解的正性与有界性、平衡点及其局部与全局稳定性。
引用
@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}
}
备注
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