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Approximation treatment for linear fuzzy HIV infection model by variational iteration method

There has recently been considerable focus on finding reliable and more effective approximate methods for solving biological mathematical models in the form of differential equations. One of the well-known approximate or semi-analytical methods for solving linear, nonlinear differential well as part...

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Main Author: Jameel, Ali Fareed
Format: Article
Language:English
Published: Horizon Research Publishing 2021
Subjects:
Q Science (General)
Online Access:https://repo.uum.edu.my/id/eprint/28572/1/MS%202021%2009%2003%20342-349.pdf
https://repo.uum.edu.my/id/eprint/28572/
https://www.hrpub.org/journals/jour_info.php?id=34
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spelling my.uum.repo.285722023-06-19T10:00:28Z https://repo.uum.edu.my/id/eprint/28572/ Approximation treatment for linear fuzzy HIV infection model by variational iteration method Jameel, Ali Fareed Q Science (General) There has recently been considerable focus on finding reliable and more effective approximate methods for solving biological mathematical models in the form of differential equations. One of the well-known approximate or semi-analytical methods for solving linear, nonlinear differential well as partial differential equations within various fields of mathematics is the Variational Iteration Method (VIM). This paper looks at the use of fuzzy differential equations in human immunodeficiency virus (HIV) infection modeling. The main advantage of the method lies in its flexibility and ability to solve nonlinear equations easily. VIM is introduced to provide approximate solutions for linear ordinary differential equation system including the fuzzy HIV infection model. The model explains the amount of undefined immune cells, and the immune system viral load intensity intrinsic that will trigger fuzziness in patients infected by HIV. CD4+T-cells and cytototoxic T-lymphocytes (CTLs) are known for the immune cells concerned. The dynamics of the immune cell level and viral burden are analyzed and compared across three classes of patients with low, moderate and high immune systems. A modification and formulation of the VIM in the fuzzy domain based on the use of the properties of fuzzy set theory are presented. A model was established in this regard, accompanied by plots that demonstrate the reliability and simplicity of the methods. The numerical results of the model indicate that this approach is effective and easily used in fuzzy domain. Horizon Research Publishing 2021 Article PeerReviewed application/pdf en cc4_by https://repo.uum.edu.my/id/eprint/28572/1/MS%202021%2009%2003%20342-349.pdf Jameel, Ali Fareed (2021) Approximation treatment for linear fuzzy HIV infection model by variational iteration method. Mathematics and Statistics, 9 (3). pp. 342-349. ISSN 2332-2071 https://www.hrpub.org/journals/jour_info.php?id=34
institution Universiti Utara Malaysia
building UUM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Utara Malaysia
content_source UUM Institutional Repository
url_provider http://repo.uum.edu.my/
language English
topic Q Science (General)
spellingShingle Q Science (General)
Jameel, Ali Fareed
Approximation treatment for linear fuzzy HIV infection model by variational iteration method
description There has recently been considerable focus on finding reliable and more effective approximate methods for solving biological mathematical models in the form of differential equations. One of the well-known approximate or semi-analytical methods for solving linear, nonlinear differential well as partial differential equations within various fields of mathematics is the Variational Iteration Method (VIM). This paper looks at the use of fuzzy differential equations in human immunodeficiency virus (HIV) infection modeling. The main advantage of the method lies in its flexibility and ability to solve nonlinear equations easily. VIM is introduced to provide approximate solutions for linear ordinary differential equation system including the fuzzy HIV infection model. The model explains the amount of undefined immune cells, and the immune system viral load intensity intrinsic that will trigger fuzziness in patients infected by HIV. CD4+T-cells and cytototoxic T-lymphocytes (CTLs) are known for the immune cells concerned. The dynamics of the immune cell level and viral burden are analyzed and compared across three classes of patients with low, moderate and high immune systems. A modification and formulation of the VIM in the fuzzy domain based on the use of the properties of fuzzy set theory are presented. A model was established in this regard, accompanied by plots that demonstrate the reliability and simplicity of the methods. The numerical results of the model indicate that this approach is effective and easily used in fuzzy domain.
format Article
author Jameel, Ali Fareed
author_facet Jameel, Ali Fareed
author_sort Jameel, Ali Fareed
title Approximation treatment for linear fuzzy HIV infection model by variational iteration method
title_short Approximation treatment for linear fuzzy HIV infection model by variational iteration method
title_full Approximation treatment for linear fuzzy HIV infection model by variational iteration method
title_fullStr Approximation treatment for linear fuzzy HIV infection model by variational iteration method
title_full_unstemmed Approximation treatment for linear fuzzy HIV infection model by variational iteration method
title_sort approximation treatment for linear fuzzy hiv infection model by variational iteration method
publisher Horizon Research Publishing
publishDate 2021
url https://repo.uum.edu.my/id/eprint/28572/1/MS%202021%2009%2003%20342-349.pdf
https://repo.uum.edu.my/id/eprint/28572/
https://www.hrpub.org/journals/jour_info.php?id=34
_version_ 1769845893053284352
score 13.211869

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