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Jamil S, Bariq A, Farman M, Nisar KS, Akgül A, Saleem MU. Qualitative analysis and chaotic behavior of respiratory syncytial virus infection in human with fractional operator. Sci Rep 2024; 14:2175. [PMID: 38272984 DOI: 10.1038/s41598-023-51121-0] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/18/2023] [Accepted: 12/31/2023] [Indexed: 01/27/2024] Open
Abstract
Respiratory syncytial virus (RSV) is the cause of lung infection, nose, throat, and breathing issues in a population of constant humans with super-spreading infected dynamics transmission in society. This research emphasizes on examining a sustainable fractional derivative-based approach to the dynamics of this infectious disease. We proposed a fractional order to establish a set of fractional differential equations (FDEs) for the time-fractional order RSV model. The equilibrium analysis confirmed the existence and uniqueness of our proposed model solution. Both sensitivity and qualitative analysis were employed to study the fractional order. We explored the Ulam-Hyres stability of the model through functional analysis theory. To study the influence of the fractional operator and illustrate the societal implications of RSV, we employed a two-step Lagrange polynomial represented in the generalized form of the Power-Law kernel. Also, the fractional order RSV model is demonstrated with chaotic behaviors which shows the trajectory path in a stable region of the compartments. Such a study will aid in the understanding of RSV behavior and the development of prevention strategies for those who are affected. Our numerical simulations show that fractional order dynamic modeling is an excellent and suitable mathematical modeling technique for creating and researching infectious disease models.
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Affiliation(s)
- Saba Jamil
- Institute of Mathematics, Khwaja Fareed University of Engineering and Information Technology, Rahim Yar Khan, Pakistan
| | - Abdul Bariq
- Department of Mathematics, Laghman University, Mehtarlam, 2701, Laghman, Afghanistan.
| | - Muhammad Farman
- Institute of Mathematics, Khwaja Fareed University of Engineering and Information Technology, Rahim Yar Khan, Pakistan
- Department of Mathematics, Faculty of Arts and Sciences, Near East University, Mersin, Turkey
- Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon
| | - Kottakkaran Sooppy Nisar
- Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam Bin Abdulaziz University, Alkharj, Saudi Arabia
| | - Ali Akgül
- Department of Mathematics, Faculty of Arts and Sciences, Near East University, Mersin, Turkey
- Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon
- Department of Mathematics, Art and Science Faculty, Siirt University, 56100, Siirt, Turkey
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