Statistical characteristics and fractional modeling for hematological model: an application to immune response.

The defense against microbial pathogens can be functionalized by leukocytes because via singling immune response to enhance Inflammation. In this manuscript, a dynamical analysis for the concentration of circulating white blood cells is functionalized by fractional differential operators. The mathematical investigations for fractionalized and non-fractionalized concentration of circulating white blood cells have been traced out. The comparative analysis of circulating white blood cells has been discussed for delay between white blood cell productions. Finally, our results suggested that the hemogram reflects blood-clotting disorders and infection on the basis of fractionalized and non-fractionalized concentration of circulating white blood cells.