Fractal-fractional modeling and stability analysis of pine wilt disease dynamics.
In this article, we have constructed a compartmental mathematical model employing fractal-fractional operators to investigate the dynamics of pine wilt disease. The model comprises six nonlinear ordinary differential equations, representing six compartments for individuals categorized as susceptible...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Public Library of Science (PLoS)
2025-01-01
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| Series: | PLoS ONE |
| Online Access: | https://doi.org/10.1371/journal.pone.0318534 |
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| author | Khaled Aldwoah Shahid Ahmed Shah Jahan Amel Touati Nidal EIjaneid Tariq AIjaaidi |
| author_facet | Khaled Aldwoah Shahid Ahmed Shah Jahan Amel Touati Nidal EIjaneid Tariq AIjaaidi |
| author_sort | Khaled Aldwoah |
| collection | DOAJ |
| description | In this article, we have constructed a compartmental mathematical model employing fractal-fractional operators to investigate the dynamics of pine wilt disease. The model comprises six nonlinear ordinary differential equations, representing six compartments for individuals categorized as susceptible, exposed, and infected. Furthermore, we restructured the model by applying methodologies that are based on fractional calculus and fractal theory, one can gain significant insights into the intricacies of pine wilt disease transmission. The model's essential properties, that is existence and uniqueness were analysed using the Banach and Leray-Schauder theorems. We study the stability of the fractional model by applying the Ulam-Hyers stability conditions. Additionally, computational techniques for the model in fractal-fractional cases are formulated using an iterative numerical approach like the fractional Adams-Bashforth methodology. Finally, we presented a comprehensive simulation conducted to validate the theoretical findings. The results are simulated to correspond to various fractional order values (θ1) and fractal dimensions (θ2) using MATLAB. |
| format | Article |
| id | doaj-art-e73147dcf77b4745b6b77b8ef356f389 |
| institution | OA Journals |
| issn | 1932-6203 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Public Library of Science (PLoS) |
| record_format | Article |
| series | PLoS ONE |
| spelling | doaj-art-e73147dcf77b4745b6b77b8ef356f3892025-08-20T02:28:19ZengPublic Library of Science (PLoS)PLoS ONE1932-62032025-01-01202e031853410.1371/journal.pone.0318534Fractal-fractional modeling and stability analysis of pine wilt disease dynamics.Khaled AldwoahShahid AhmedShah JahanAmel TouatiNidal EIjaneidTariq AIjaaidiIn this article, we have constructed a compartmental mathematical model employing fractal-fractional operators to investigate the dynamics of pine wilt disease. The model comprises six nonlinear ordinary differential equations, representing six compartments for individuals categorized as susceptible, exposed, and infected. Furthermore, we restructured the model by applying methodologies that are based on fractional calculus and fractal theory, one can gain significant insights into the intricacies of pine wilt disease transmission. The model's essential properties, that is existence and uniqueness were analysed using the Banach and Leray-Schauder theorems. We study the stability of the fractional model by applying the Ulam-Hyers stability conditions. Additionally, computational techniques for the model in fractal-fractional cases are formulated using an iterative numerical approach like the fractional Adams-Bashforth methodology. Finally, we presented a comprehensive simulation conducted to validate the theoretical findings. The results are simulated to correspond to various fractional order values (θ1) and fractal dimensions (θ2) using MATLAB.https://doi.org/10.1371/journal.pone.0318534 |
| spellingShingle | Khaled Aldwoah Shahid Ahmed Shah Jahan Amel Touati Nidal EIjaneid Tariq AIjaaidi Fractal-fractional modeling and stability analysis of pine wilt disease dynamics. PLoS ONE |
| title | Fractal-fractional modeling and stability analysis of pine wilt disease dynamics. |
| title_full | Fractal-fractional modeling and stability analysis of pine wilt disease dynamics. |
| title_fullStr | Fractal-fractional modeling and stability analysis of pine wilt disease dynamics. |
| title_full_unstemmed | Fractal-fractional modeling and stability analysis of pine wilt disease dynamics. |
| title_short | Fractal-fractional modeling and stability analysis of pine wilt disease dynamics. |
| title_sort | fractal fractional modeling and stability analysis of pine wilt disease dynamics |
| url | https://doi.org/10.1371/journal.pone.0318534 |
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