Stability analysis of a fractional order prey-predator system with nonmonotonic functional response

نویسندگان

  • Javad Alidousti Department of Applied Mathematics and Computer Sciences, Shahrekord University, P. O. Box 115, Shahrekord, Iran
  • Reza Khoshsiar Ghaziani Department of Applied Mathematics and Computer Sciences, Shahrekord University, P. O. Box 115, Shahrekord, Iran
چکیده مقاله:

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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عنوان ژورنال

دوره 4  شماره 2

صفحات  151- 161

تاریخ انتشار 2016-04-01

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