%0 Journal Article %T Stability analysis of a fractional order prey-predator system with nonmonotonic functional response %J Computational Methods for Differential Equations %I University of Tabriz %Z 2345-3982 %A Khoshsiar Ghaziani, Reza %A Alidousti, Javad %D 2016 %\ 04/01/2016 %V 4 %N 2 %P 151-161 %! Stability analysis of a fractional order prey-predator system with nonmonotonic functional response %K Bifurcation %K Fractional Prey-predator model %K Stability of equilibrium %K Dynamical behavior %K Limit cycle %R %X 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. %U https://cmde.tabrizu.ac.ir/article_5511_ea0d5c86e39629903a940fb184caa5ef.pdf