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Analysis of disease mediated predator-prey system with fractional time derivative under climatic stressors | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 15 خرداد 1405 اصل مقاله (7.78 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2026.68088.3279 | ||
| نویسندگان | ||
| Sivaranjani Munusamy1؛ Sambath Muniyagounder* 1؛ Balachandran Krishnan2 | ||
| 1Department of Mathematics, Periyar University, Salem 636011, India. | ||
| 2Department of Mathematics, Bharathiar University, Coimbatore 641046, India. | ||
| چکیده | ||
| This study presents a novel fractional order dynamical system modelling of disease-mediated predator-prey interactions under climatic stressors. The framework incorporates: (i) temperature dependent growth reduction (ii) wind modulated predation efficiency (iii) disease mediated predator through a time fractional derivative formulation. We thoroughly examine the qualitative properties, in order to establish sufficient conditions for the existence, positivity, and uniqueness of solutions. We also look into the quantitative behavior of the system by analyzing the stability of positive equilibrium points, and derive criteria for both local and global stability. We conduct comprehensive numerical simulations to verify our theoretical conclusions, showing that analytical results remain consistent under different parametric impacts. | ||
| کلیدواژهها | ||
| Disease dynamics؛ Global warming؛ Wind flow؛ Stability analysis؛ Numerical simulations | ||
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آمار تعداد مشاهده مقاله: 9 تعداد دریافت فایل اصل مقاله: 7 |
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