Role of fear in a fractional-order predator-prey system incorporating a
constant prey refuge
Abstract
This paper deals with a fractional-order predator-prey model with
Holling type II functional response incorporating a constant prey refuge
and fear effect. Existence, uniqueness, non-negativity and boundedness
of the solutions have been analyzed for the considered model. Existence
conditions for different equilibrium points are discussed. Local and
global stability of the equilibrium points is studied. We have checked
how the impact of fear and fractional order can affect the stability of
our proposed system. Finally, some numerical simulation has been
performed to validate our theoretical findings.