Mathematical Analysis of Fractional Order Tumor-Immune Response Model via an Efficient Computational Technique

A mathematical description of the tumor-immune response model using the Caputo fractional order derivative operator (CFD) is described in this research paper. Four distinct cell populations—tumor cells, effector cells, helper tumour cells, and regulatory T cells (Tregs)—make up the suggested model. The collection of fractional ordinary differential equations simulates the interaction between various cell populations. The authors obtained the series solutions for the corresponding cell populations of the considered model via Sumudu Transform Homotopy Perturbation Method (STHPM). By assigning different ICs and numerical values to the pertinent model's parameters, numerical simulations and graphical analysis are also conducted to further illustrate the acquired results. It is envisaged that the Caputo fractional order derivative operator (CFD) and the suggested computation approach (STHPM), would open up new possibilities for manipulating and examining various epidemiological models in future studies.