Stability analysis of a fractional order prey-predator system with nonmonotonic functional response
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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.
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Journal title
volume 4 issue 2
pages 151- 161
publication date 2016-04-01
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