Analysis of predator-prey model on tumor-immune interaction using fractional approach

Abstract

This paper analyzes the solution of a fractional predator-prey model on tumor immune interaction with treatment using the Caputo fractional derivative. The existence and uniqueness of the proposed fractional model are analyzed using the Banach fixed point theorem. The positivity and boundedness of the solution are also examined. The stability of equilibrium points has been discussed. To find the approximate solution, a robust fractional multi-step differential transform method is applied. Finally, the results obtained from the proposed method have been validated using a numerical method.