Nanofluids are playing a vital part in advancing practical life. The potential application of nanomaterials in a multitude of scenarios, such oil recovery, the melting of electronic systems in computers, cooling systems, the construction of fluid, cooling spirals, engineering and manufacturing, heat storage devices, and bioengineering. The microorganisms have a vital role to play in numerous applications, such as biological sciences, drugs, and biotechnology, biofuels processing, wastewater treatment, and food production. The current investigation exhibits a numerical model for Sutterby fluid with activation energy, thermal radiation, and bioconvection flowing past a stretching/shrinking wedge. The set of conservative governing partial differential equations (PDEs) is converted into a dimensionless ODEs system by using suitable similarity variables. The obtained new system of the model with dimensionless relative boundary conditions is tackled numerically by manipulating the famous shooting method through bvp4c solver in MATLAB coding. The physical and mathematical findings for profiles of velocity, temperature, concentration, and microbe dispersion owing to various controlling parameter inputs are displayed in tables and graphs. Flow velocity is shown to decrease as the bioconvection Rayleigh number increases. Moreover, the Prandtl number increases, the thermal field of the fluid decreases while it increases for the temperature ratio parameter. Furthermore, it is determined from this situation that the concentration field decreases as the Brownian motion parameter increases. The field of the microorganism decreases as the Peclet number increases.