Mathematical modeling and optimal control of customer’s behavior toward e-commerce
The extensive influence of digital platforms has reshaped societal interactions and daily routines, integrating e-commerce into every aspect of modern life. This evolution not only redefines traditional business models but also fosters global connectivity and economic restructuring. However, despite...
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| Format: | Article |
| Language: | English |
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Ferdowsi University of Mashhad
2024-12-01
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| Series: | Iranian Journal of Numerical Analysis and Optimization |
| Subjects: | |
| Online Access: | https://ijnao.um.ac.ir/article_45542_1bd0800e40747aa1b83962cb07388108.pdf |
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| _version_ | 1846138675336839168 |
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| author | H. Hassouni S. Belhdid O. Balati |
| author_facet | H. Hassouni S. Belhdid O. Balati |
| author_sort | H. Hassouni |
| collection | DOAJ |
| description | The extensive influence of digital platforms has reshaped societal interactions and daily routines, integrating e-commerce into every aspect of modern life. This evolution not only redefines traditional business models but also fosters global connectivity and economic restructuring. However, despite its critical role in the global economy, e-commerce faces challenges, notably the hesitation of some consumers due to concerns about security and trust. To address this, we propose a novel mathematical model to examine customer behavior dynamics toward e-commerce, particularly the impact of the refusal behavior. Our study comprehensively examines the characteristics of our mathematical model, conducts a thorough stability analysis, and investigates the parameter sensitivity. Furthermore, control theory has been adopted to optimize the adoption of e-commerce using Pontryagin’s maximum principle, with numerical simulations to evaluate the effectiveness of our proposed strategies. |
| format | Article |
| id | doaj-art-5eb0a94a134b46f7a66621cf65e6a63b |
| institution | Kabale University |
| issn | 2423-6977 2423-6969 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Ferdowsi University of Mashhad |
| record_format | Article |
| series | Iranian Journal of Numerical Analysis and Optimization |
| spelling | doaj-art-5eb0a94a134b46f7a66621cf65e6a63b2024-12-07T05:01:20ZengFerdowsi University of MashhadIranian Journal of Numerical Analysis and Optimization2423-69772423-69692024-12-0114Issue 41168120210.22067/ijnao.2024.88052.144845542Mathematical modeling and optimal control of customer’s behavior toward e-commerceH. Hassouni0S. Belhdid1O. Balati2Laboratory of Fundamental Mathematics and their Applications, Department of Mathematics, Faculty of Sciences El Jadida, Chouaib Doukkali University, El Jadida, Morocco.Laboratory of Fundamental Mathematics and their Applications, Department of Mathematics, Faculty of Sciences El Jadida, Chouaib Doukkali University, El Jadida, Morocco.Laboratory of Fundamental Mathematics and their Applications, Department of Mathematics, Faculty of Sciences El Jadida, Chouaib Doukkali University, El Jadida, Morocco.The extensive influence of digital platforms has reshaped societal interactions and daily routines, integrating e-commerce into every aspect of modern life. This evolution not only redefines traditional business models but also fosters global connectivity and economic restructuring. However, despite its critical role in the global economy, e-commerce faces challenges, notably the hesitation of some consumers due to concerns about security and trust. To address this, we propose a novel mathematical model to examine customer behavior dynamics toward e-commerce, particularly the impact of the refusal behavior. Our study comprehensively examines the characteristics of our mathematical model, conducts a thorough stability analysis, and investigates the parameter sensitivity. Furthermore, control theory has been adopted to optimize the adoption of e-commerce using Pontryagin’s maximum principle, with numerical simulations to evaluate the effectiveness of our proposed strategies.https://ijnao.um.ac.ir/article_45542_1bd0800e40747aa1b83962cb07388108.pdfmathematical modelingstability analysise-commercepontryagin maximum principlesensitivity analysis |
| spellingShingle | H. Hassouni S. Belhdid O. Balati Mathematical modeling and optimal control of customer’s behavior toward e-commerce Iranian Journal of Numerical Analysis and Optimization mathematical modeling stability analysis e-commerce pontryagin maximum principle sensitivity analysis |
| title | Mathematical modeling and optimal control of customer’s behavior toward e-commerce |
| title_full | Mathematical modeling and optimal control of customer’s behavior toward e-commerce |
| title_fullStr | Mathematical modeling and optimal control of customer’s behavior toward e-commerce |
| title_full_unstemmed | Mathematical modeling and optimal control of customer’s behavior toward e-commerce |
| title_short | Mathematical modeling and optimal control of customer’s behavior toward e-commerce |
| title_sort | mathematical modeling and optimal control of customer s behavior toward e commerce |
| topic | mathematical modeling stability analysis e-commerce pontryagin maximum principle sensitivity analysis |
| url | https://ijnao.um.ac.ir/article_45542_1bd0800e40747aa1b83962cb07388108.pdf |
| work_keys_str_mv | AT hhassouni mathematicalmodelingandoptimalcontrolofcustomersbehaviortowardecommerce AT sbelhdid mathematicalmodelingandoptimalcontrolofcustomersbehaviortowardecommerce AT obalati mathematicalmodelingandoptimalcontrolofcustomersbehaviortowardecommerce |