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Stability analysis of a fractional order prey-predator system with nonmonotonic functional response | ||
| Computational Methods for Differential Equations | ||
| مقاله 5، دوره 4، شماره 2، تیر 2016، صفحه 151-161 اصل مقاله (448.26 K) | ||
| نوع مقاله: Research Paper | ||
| نویسندگان | ||
| Reza Khoshsiar Ghaziani* ؛ Javad Alidousti | ||
| Department of Applied Mathematics and Computer Sciences, Shahrekord University, P. O. Box 115, Shahrekord, Iran | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Bifurcation؛ Fractional Prey-predator model؛ Stability of equilibrium؛ Dynamical behavior؛ Limit cycle | ||
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