Stability analysis of a fractional order prey-predator system with nonmonotonic functional response
Publish Year: 1395
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_CMDE-4-2_005
تاریخ نمایه سازی: 15 اسفند 1401
Abstract:
In this paper, we introduce fractional order of a planar fractional prey-predator system with a nonmonotonic functional response and anti-predator behaviour such that the adult preys can attack vulnerable predators. We analyze the existence and stability of all possible equilibria. Numerical simulations reveal that anti-predator behaviour not only makes the coexistence of the prey and predator populations less likely, but also damps the predator-prey oscillations. Therefore, antipredator behaviour helps the prey population to resist predator aggression.
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Authors
Reza Khoshsiar Ghaziani
Department of Applied Mathematics and Computer Sciences, Shahrekord University, P. O. Box ۱۱۵, Shahrekord, Iran
Javad Alidousti
Department of Applied Mathematics and Computer Sciences, Shahrekord University, P. O. Box ۱۱۵, Shahrekord, Iran