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In this paper, an attempt is made to understand the dynamics of a fractionalorder three species Leslie-Gower predator prey food chain model with simplifiedHolling type IV functional response by considering fractional derivative inCaputo Sense. First, I prove different mathematical results like existence,uniqueness, non-negativity and boundedness of the solutions of fractional orderdynamical system. The dissipativeness of the solution of the FDE system isdiscussed. Further, I investigate the Local stability criteria of all feasibleequilibrium points. Global stability of the interior equilibrium point havealso been discussed here. Using realistic parameter values, numerically it hasbeen observed that the fractional order system shows more complex dynamics,like chaos as fractional order becomes larger. Analytical results areillustrated with several examples in numerical section.

On the stability of fractional order Leslie-Gower type model with non-monotone functional response of intermediate predator