Structure Preserving Numerical Analysis of HIV and CD4+T-Cells Reaction Diffusion Model in Two Space Dimensions

被引：23

作者：

Ahmed, Nauman ^{[1
]}

Rafiq, Muhammad ^{[2
]}

Adel, Waleed ^{[3
]}

Rezazadeh, Hadi ^{[4
]}

Khan, Ilyas ^{[5
]}

Nisar, Kottakkaran Sooppy ^{[6
]}

机构：

[1] Univ Lahore, Dept Math & Stat, Lahore, Pakistan

[2] Univ Cent Punjab, Fac Engn, Lahore, Pakistan

[3] Mansoura Univ, Fac Engn, Dept Math & Engn Phys, Mansoura, Egypt

[4] Amol Univ Special Modern Technol, Fac Modern Technol Engn, Amol, Iran

[5] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City, Vietnam

[6] Prince Sattam Bin Abdulaziz Univ, Coll Arts & Sci, Dept Math, Wadi Aldawaser 11991, Saudi Arabia

来源：

CHAOS SOLITONS & FRACTALS | 2020年 / 139卷 / 139期

关键词：

Structure preserving techniques; HIV and CD4+T reaction diffusion model; Positive solutions; MATHEMATICAL-ANALYSIS; DYNAMICS; INFECTION;

D O I：

10.1016/j.chaos.2020.110307

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a new HIV CD4+T cells reaction-diffusion model in two dimensions has been introduced. Two novel and efficient positivity preserving finite difference schemes for the numerical solution has been used. The positivity property is of great importance in epidemic models because negative values have no meaning. The stability and consistency of the proposed positivity preserving schemes have been discussed briefly. A comparison of the proposed schemes with an extensively used Euler scheme has been provided. The numerical simulations of all the schemes have been presented with the help of a numerical test and found that the Euler method shows false behavior which is not a part of the continuous system. Moreover, both proposed positivity preserving schemes illustrate the behavior which is consistent with the continuous system. (C) 2020 Elsevier Ltd. All rights reserved.

引用

页数：18

共 33 条

[1]

Ahmed N, 2020, ADV DIFFER EQU, V197

[2] Positivity preserving operator splitting nonstandard finite difference methods for SEIR reaction diffusion model [J].