Department of Applied Mathematics and Computer Sciences, Shahrekord University, P. O. Box 115, Shahrekord, Iran
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.
Khoshsiar Ghaziani, R. and Alidousti, J. (2016). Stability analysis of a fractional order prey-predator system with nonmonotonic functional response. Computational Methods for Differential Equations, 4(2), 151-161.
MLA
Khoshsiar Ghaziani, R. , and Alidousti, J. . "Stability analysis of a fractional order prey-predator system with nonmonotonic functional response", Computational Methods for Differential Equations, 4, 2, 2016, 151-161.
HARVARD
Khoshsiar Ghaziani, R., Alidousti, J. (2016). 'Stability analysis of a fractional order prey-predator system with nonmonotonic functional response', Computational Methods for Differential Equations, 4(2), pp. 151-161.
CHICAGO
R. Khoshsiar Ghaziani and J. Alidousti, "Stability analysis of a fractional order prey-predator system with nonmonotonic functional response," Computational Methods for Differential Equations, 4 2 (2016): 151-161,
VANCOUVER
Khoshsiar Ghaziani, R., Alidousti, J. Stability analysis of a fractional order prey-predator system with nonmonotonic functional response. Computational Methods for Differential Equations, 2016; 4(2): 151-161.
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