Homotopy Perturbation Method for Solving Cell Cycle of Tumoural Cells

In this work we present a mathematical model for tumour growth based on the biology of the cell cycle. Our model reproduces the dynamics of three different tumour cell populations: Quiescent cells, cells during the inter phase and mitotic cells. Here, we investigate the stability analysis of the cancer-free equilibrium. We have implemented Homotopy perturbation method to give approximated analytical solutions of non-linear ordinary differential equations of system such as model for Tumoural growth. A modification of the homotopy perturbation method based on the use of Pade approximations is done. Some plots are presented to show the reliability and simplicity of the methods.