<p>The present study aims to provide a theoretical and numerical evaluation of the bioconvective flow of micropolar fluids influenced by chemical reactions and radiation effects in the presence of a porous medium. The flow is induced by a porous vibrating surface and regulated by an externally applied magnetic field. Radiative phenomena are represented by nonlinear expressions. To efficiently approximate the solution of the non-dimensional governing equations, the alternating direction implicit method, a conditionally stable and computationally efficient numerical scheme, has been employed. This study produces distinct and effective outcomes by rigorously applying the principles of micropolar fluid theory. With the aid of graphical representations, this study explores the individual effects of various key parameters inherent to the physical model, including thermal, momentum, microrotation, and concentration fields within the boundary region. The results indicate that the proposed approach is a simple yet effective tool for analyzing the solutions of this complex micro-fluid model. Furthermore, a tabular analysis clarifies the influence of relevant constraints on the skin friction coefficient at the plate. Significantly, the findings show excellent agreement with previous studies, thereby confirming the reliability of this research.</p>