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In this paper we study the production of Primordial Black Holes (PBHs) frominflation in order to explain the Dark Mater (DM) in the Universe. Theevaluation of the fractional PBHs abundance to DM is sensitive to the value ofthe threshold $\mathrm{\delta_c}$ and the exact value of $\mathrm{\delta_c}$ issensitive to the specific shape of the cosmological fluctuations. Differentmechanisms producing PBHs lead to different thresholds and hence to differentfractional abundances of PBHs. In this study, we examine various classes ofinflationary models proposed in the existing literature to elucidate theformation of PBHs and we evaluate numerically the associated threshold values.  Having evaluated the thresholds we compute the abundances of PBHs to DM usingthe Press Schecter approach and the Peak Theory. Given the influence ofdifferent power spectra on the thresholds, we investigate whether theseinflationary models can successfully account for a significant fraction of DM.Moreover, we provide suggested values for the critical threshold. By examiningthe interplay between inflationary models, threshold values, and PBHabundances, our study aims to shed light on the viability of PBHs as acandidate for DM and contributes to the ongoing discussion regarding the natureof DM in the Universe

Exploring Critical Overdensity Thresholds in Inflationary Models of Primordial Black Holes Formation