NONSTANDARD FINITE DIFFERENCE SCHEMES WITH POSITIVITY PROPERTY WITH APPLICATION TO A MATHEMATICAL MODEL OF HIV INFECTION

被引：0

作者：

Xu, H. Y. ^{[1
]}

Khalsaraei, M. M. ^{[2
]}

Shokri, A. ^{[2
,3
]}

Ramos, H. ^{[4
,5
]}

Molayi, M. ^{[2
]}

机构：

[1] Suqian Univ, Sch Math & Phys, Suqian 223800, Jiangsu, Peoples R China

[2] Univ Maragheh, Fac Math Sci, Maragheh, Iran

[3] Univ Tabriz, Fac Math Stat & Comp Sci, Tabriz, Iran

[4] Univ Salamanca, Escuela Politcn Super Zamora, Avda Requejo 33, Zamora 49029, Spain

[5] Univ Salamanca, Sci Comp Grp, Plaza Merced, Salamanca 37008, Spain

来源：

APPLIED AND COMPUTATIONAL MATHEMATICS | 2024年 / 23卷 / 04期

关键词：

HIV Model; Nonstandard Finite Difference; Elementary Stability; Positivity; RUNGE-KUTTA; NUMERICAL-METHODS; STABILITY; EPIDEMICS; EQUATIONS;

D O I：

10.30546/1683-6154.23.4.2024.541

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

. In this paper, two nonstandard finite difference schemes for approximating the solution of a mathematical model of HIV infection are presented. The technique of nonlo cal approximation and renormalization of the denominator of the discrete derivative was employed. The new schemes were found to possess the elementary stability property and also to preserve the positivity property, which are essential requirements for solving epidemic disease models. Unlike other conventional approaches that are routinely used for solving such problems, the solutions provided by the new schemes have the property of positivity for any step size.

引用

页码：541 / 557

页数：17

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