A dynamically-consistent nonstandard finite difference scheme for the SICA model

被引：10
|
作者：
Vaz, Sandra [1 ]
Torres, Delfim F. M. [2 ]
机构：
[1] Univ Beira Interior, Ctr Math & Applicat CMA UBI, Dept Math, P-6201001 Covilha, Portugal
[2] Univ Aveiro, Ctr Res & Dev Math & Applicat CIDMA, Dept Math, P-3810193 Aveiro, Portugal
来源：
MATHEMATICAL BIOSCIENCES AND ENGINEERING | 2021年 / 18卷 / 04期
关键词：
SICA model; compartmental models; stability analysis; Schur-Cohn criterion; Lyapunov functions; discretization by Mickens method; NUMERICAL-METHODS; COINFECTION; HIV/AIDS;
D O I：
10.3934/mbe.2021231
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
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.
引用
收藏
页码：4552 / 4571
页数：20
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