Mathematical analysis of fractional order Tumor-Immune Response Model via an efficient computational technique

Author:

Gill Vinod1,Samuel Shikaa2,Rana Seetu3,Singh Yudhveer4

Affiliation:

1. Govt. College Nalwa(Hisar)

2. Taraba State University

3. Govt. College Hisar

4. Amity University Rajasthan

Abstract

Abstract 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 (TCs), effector cells (ECs), helper tumour cells (HTCs), 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 providing various ICs and numerical values for the associated model’s parameter, numerical simulations and graphical analysis are also performed.

Publisher

Research Square Platform LLC

Reference22 articles.

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3. Dynamics of the tumor–immune system comptition–the effect of time delay;Galach M;Int. J. Appl. Math. Comput. Sci.,2003

4. Qualitative and Computational Analysis of a Mathematical Model for the Tumor-Immune Interactions;Rihan FA;J. Appl. Math.,2012

5. Mathematical modeling on helper T cells in a tumor immune system;Dong Y;Discrete Continuous Dynamical System-B,2014

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