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Geometrical Singular Perturbation Theory has been successful to investigate abroad range of biological problems with different time scales. The aim of thispaper is to apply this theory to a predator-prey model of modified Leslie-Gowertype for which we consider that prey reproduces mush faster than predators.This naturally leads to introduce a small parameter $\epsilon$ which gives riseto a slow-fast system. This system has a special folded singularity which hasnot been analyzed in the classical work of Krupa-Szmolyan. We use the blow-uptechnique to visualize the behavior near this fold point $P$. Outside of thisregion the dynamics are given by classical singular perturbation theory. Thisallows to quantify geometrically the attractive limit-cycle with an error of$O(\epsilon$) and shows that it exhibits the \textit{canard} phenomenon whilecrossing $P$.

Canard Phenomenon in a modified Slow-Fast Leslie-Gower and Holling type scheme model