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Management of Rice taungro spread and control by sanitation measures for rice plants: Modeling and Sensitivity analysis | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 09 آبان 1404 اصل مقاله (3.03 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2025.64963.2961 | ||
| نویسندگان | ||
| Khurram Faiz1؛ Aqeel Ahmad* 1؛ Zafar Ullah2 | ||
| 1Department of Mathematics, Ghazi University D G Khan 32200, Pakistan. | ||
| 2Division of Science and Technology, Department of Mathematics, University of Education, Lahore 54000, Pakistan. | ||
| چکیده | ||
| Examining the model of rice taungro illness by observing how diseases spread within the community as a result of predators is the main goal of this study by developing new mathematical model. Following some measurements of infection rates for various plant stages, a mathematical model is developed utilizing the hypothesis developed for a healthy environment in order to investigate the various rates of rice taungro. In addition to studying the model's equilibrium and endemic points, the next generation method is used to determine the model's reproductive number at equilibrium points. Sensitivity analysis was developed to identify the most sensitive parameters and investigate the effects of variations in the rate of change under different circumstances. A suggested model is analyzed both qualitatively and quantitatively, with special attention paid to boundedness, positivity, and unique solutions. Both endemic and disease-free equilibrium points are examined for stability by globally validating the Lyapunov function. A two-step Lagrange polynomial method is applied in numerical simulations to investigate the effect of the fractional operator on the generalized form of the power law kernel for ongoing surveillance of the rice taungro virus and treatment strategies. The simulations show how different parameters affect the sickness. Simulations have been built to mimic the behavior and treatment of rice taungro disease caused by a splashing-rain attack and to put control measures in place for a healthy environment with a hypersensitive reaction (HR). Based on confirmed results for different plant species, this kind of research will be useful in determining how diseases spread and in creating management plans. | ||
| کلیدواژهها | ||
| Mathematical Modeling؛ Caputo؛ Sensitivity analysis؛ Rice taungro؛ punitiveness | ||
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آمار تعداد مشاهده مقاله: 39 تعداد دریافت فایل اصل مقاله: 80 |
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