Abstract
The particular inquiry is made to envision the behavioral characteristics of gyrotactic microorganism effects on the MHD flow of Jeffrey nanofluid. Together the nanoparticles and motile microorganism are inducted into the modeled nonlinear differential equations. The optimal solutions for the governing equations are tackled by optimal homotopy analysis method. The physical characteristics of the relatable parameters are explored and deliberated in terms of graphs and numerical charts. Also, the precision of the present findings is certified by equating them with the previously published work. It is explored that rescaled density of the motile microorganisms contracts with bioconvection Peclet number Pe. It is seen that bioconvection Rayleigh number Rb shrinks the magnitude of tangential velocity. Also, bioconvection Schmidt number Sb augments the reduced density number of the motile microorganisms.