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A new approach to the life cycle of Mediterranean fruit fly with a view to estimating some parameters | ||
| Journal of Mahani Mathematical Research | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 19 مرداد 1404 اصل مقاله (750.66 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22103/jmmr.2025.24593.1742 | ||
| نویسندگان | ||
| Mohamad Ebrahimi1، 2؛ Tayebeh Waezizadeh* 1، 2؛ Monavareh Maleki3، 2؛ Sonia Aghighi4 | ||
| 1Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, 7616914111, Kerman, Iran. | ||
| 2Afzalipour Research Institute- Mahani Math Center, Shahid Bahonar University of Kerman, 7616914111, Kerman, Iran | ||
| 3Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, 7616914111, Kerman, Iran. | ||
| 4Research and Technology Institute of Plant Production, Shahid Bahonar University of Kerman, 7616914111, Kerman, Iran. | ||
| چکیده | ||
| Ceratitis capitate, commonly known as the Mediterranean fruit fly, is one of the most destructive fruit pests in the world. The Mediterranean fruit fly is the most economically important fruit fly species because it causes severe destruction. In this paper, a dynamical model based on a delay differential equation is introduced that is described the life cycle of the insect. As follows, Hopf bifurcation is checked by changing the time delays. In the next issue is estimated unknown parameters. It is proposed a method, based on the least square approach and a finite set of observation, to estimate the parameters which are identifiable. Finally, using numerical simulation, the stability at endemic equilibrium point is investigated. | ||
| کلیدواژه‌ها | ||
| Delay differential system؛ Mediterranean fruit fly؛ Hopf bifurcation؛ Asymptotically stable؛ Parameter estimation | ||
| مراجع | ||
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آمار تعداد مشاهده مقاله: 14 تعداد دریافت فایل اصل مقاله: 1 |
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