The Birth Rate Effect of Cancer Cells at the Secondary Site on a Mathematical Model of Cancer

الملخص

The model includes three ordinary and functional differential equations. This model shows the spreading of cancer from a primary location to a secondary site in the absence of treatment, and it involves competition between healthy and malignant cells for resources at both the primary and secondary sites, which may involve a time delay. The birth rate of cancer cells at the secondary location varies within a system-wide range. In this study, we used MATLAB to numerically construct the mathematical model's equilibrium points and determine their stability for both the maximum and minimum values of the birth rate of cancer cells at the secondary site. To analyze the impact of the change in birth rate () on cells in the two sites, the Runge-Kotta method was also utilized to simulate and graph cells over time. We compare the results obtained from the graph with those obtained from the equilibrium points to investigate the impact of changes in the birth rate () for cells in the model.