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

Authors

reza khoshsiar ghaziani

shahrekord university javad alidousti

shahrekord university

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 possibleequilibria. numerical simulations reveal that anti-predator behaviour notonly makes the coexistence of the prey and predator populations lesslikely, but also damps the predator-prey oscillations. therefore, antipredator behaviour helps the prey population to resist predator aggression.

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Journal title:
computational methods for differential equations

جلد ۴، شماره ۲، صفحات ۱۵۱-۱۶۱

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