A novel mechanism to simulate fractional order maize foliar disease dynamical model
This paper presents a mathematical model to examine the effects of foliar diseases on the dynamics of maize plants. Our paper investigates a newly developed system of differential equations for maize foliar disease (MFD) in terms of fractional Atangana–Baleanu (AB), Caputo–Fabrizio (CF) and Caputo o...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-10-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S221137972200506X |
| _version_ | 1818058439288422400 |
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| author | Ajay Kumar Sunil Kumar Sara Salem Alzaid Badr Saad T. Alkahtani |
| author_facet | Ajay Kumar Sunil Kumar Sara Salem Alzaid Badr Saad T. Alkahtani |
| author_sort | Ajay Kumar |
| collection | DOAJ |
| description | This paper presents a mathematical model to examine the effects of foliar diseases on the dynamics of maize plants. Our paper investigates a newly developed system of differential equations for maize foliar disease (MFD) in terms of fractional Atangana–Baleanu (AB), Caputo–Fabrizio (CF) and Caputo operators. The asymptotic stability at the equilibrium point of the non-integer system is calculated based on the reproduction number R. Our study utilized the fixed point postulate to investigate the uniqueness and existence of solutions. Furthermore, by examining the variance of each parameter, we have conducted a sensitivity analysis of the model. The generalized non-linear system with Atangana–Baleanu (AB), Caputo–Fabrizio (CF) and Caputo non-integer operators have been solved numerically via the Toufik–Atangana (TA) and Adams–Bashforth technique, respectively. We have demonstrated the applicability and effectiveness of these methods by analyzing numerical simulations for the non-integer maize foliar disease (MFD) model. |
| first_indexed | 2024-12-10T13:00:39Z |
| format | Article |
| id | doaj.art-7445c03bed4346cb9ac742afc60b76e1 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-12-10T13:00:39Z |
| publishDate | 2022-10-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-7445c03bed4346cb9ac742afc60b76e12022-12-22T01:47:57ZengElsevierResults in Physics2211-37972022-10-0141105863A novel mechanism to simulate fractional order maize foliar disease dynamical modelAjay Kumar0Sunil Kumar1Sara Salem Alzaid2Badr Saad T. Alkahtani3Department of Mathematics, National Institute of Technology, Jamshedpur, 831014, Jharkhand, IndiaDepartment of Mathematics, National Institute of Technology, Jamshedpur, 831014, Jharkhand, India; Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia; Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, United Arab Emirates; Department of Mathematics, University Centre for Research and Development, Chandigarh University, Gharuan, Mohali, Punjab, India; Corresponding author at: Department of Mathematics, National Institute of Technology, Jamshedpur, 831014, Jharkhand, India.Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaDepartment of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaThis paper presents a mathematical model to examine the effects of foliar diseases on the dynamics of maize plants. Our paper investigates a newly developed system of differential equations for maize foliar disease (MFD) in terms of fractional Atangana–Baleanu (AB), Caputo–Fabrizio (CF) and Caputo operators. The asymptotic stability at the equilibrium point of the non-integer system is calculated based on the reproduction number R. Our study utilized the fixed point postulate to investigate the uniqueness and existence of solutions. Furthermore, by examining the variance of each parameter, we have conducted a sensitivity analysis of the model. The generalized non-linear system with Atangana–Baleanu (AB), Caputo–Fabrizio (CF) and Caputo non-integer operators have been solved numerically via the Toufik–Atangana (TA) and Adams–Bashforth technique, respectively. We have demonstrated the applicability and effectiveness of these methods by analyzing numerical simulations for the non-integer maize foliar disease (MFD) model.http://www.sciencedirect.com/science/article/pii/S221137972200506XMaize foliar disease (MFD) modelCaputo operatorLocal and global stabilityCaputo–Fabrizio (CF) operatorAtangana–Baleanu (AB)Existence and uniqueness |
| spellingShingle | Ajay Kumar Sunil Kumar Sara Salem Alzaid Badr Saad T. Alkahtani A novel mechanism to simulate fractional order maize foliar disease dynamical model Results in Physics Maize foliar disease (MFD) model Caputo operator Local and global stability Caputo–Fabrizio (CF) operator Atangana–Baleanu (AB) Existence and uniqueness |
| title | A novel mechanism to simulate fractional order maize foliar disease dynamical model |
| title_full | A novel mechanism to simulate fractional order maize foliar disease dynamical model |
| title_fullStr | A novel mechanism to simulate fractional order maize foliar disease dynamical model |
| title_full_unstemmed | A novel mechanism to simulate fractional order maize foliar disease dynamical model |
| title_short | A novel mechanism to simulate fractional order maize foliar disease dynamical model |
| title_sort | novel mechanism to simulate fractional order maize foliar disease dynamical model |
| topic | Maize foliar disease (MFD) model Caputo operator Local and global stability Caputo–Fabrizio (CF) operator Atangana–Baleanu (AB) Existence and uniqueness |
| url | http://www.sciencedirect.com/science/article/pii/S221137972200506X |
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