$u$	velocity
$b$	stretching constant constant
$H_a$	combined parameter
$k$	viscoelastic parameter
$Nt$	thermophoresis parameter
$Nd$	modified Dufour number
$Pe$	Peclet number
${\delta }_1$	microorganism concentration difference
$Ln$	nano Lewis number
$\epsilon$	thermal dependence conductivity factor
${\sigma }_e$	electrical conductivity
$\vartheta$	stands for permeability of porous medium
${\rho }_f$	fluid density
N	micro-rotation
$D_B$	Brownian diffusion coefficients
$D_s$	solutal diffusivity
$D{K}_{CT}$	Soret diffusivity
$C$	concentration
$T$	temperature
$K$	vortex viscosity parameter
$\mathrm{Pr}$	Prandtl number
$Nb$	Brownian motion parameter
$Le$	regular Lewis number
$Ld$	Dufour Lewis number
$Lb$	bioconvection Lewis
$k_1$	fluid constant
$K_{\infty }$	material conductivity
$k_0$	viscoelastic parameter
$\gamma$	spin gradient viscosity
j	microinertia per unit mass
${\alpha }_1$	thermal diffusivity
$D{K}_{TC}$	Dufour diffusivity
$D_T$	thermophoretic diffusion coefficient
${\tau }_T={\left(\rho c\right)}_p/{\left(\rho c\right)}_f$	heat capacity of nanoparticles to heat capacity of fluid ratio.