Mathematical Analysis of Birth Rate of Cancer Model

Authors

  • Tarig Elmabrouk Mathematics Department, Faculty of Science, Omar Al-Mukhtar University Albayda, Libya Author
  • Ansaf Faleh Alfkhakhari Mathematics Department, Faculty of Science, Omar Al-Mukhtar University Albayda, Libya Author

DOI:

https://doi.org/10.58987/28crhk81

Keywords:

Cancer Model, Birth Rate, Runge-Kutta, Mathematical Analysis

Abstract

A model comprising four nonlinear differential equations describes the untreated spread of cancer from a primary to a secondary site. It takes into consideration the competition possibly delayed between healthy and malignant cells for resources at both sites. Within a proportionate range, different normal cell birth rates  are taken into consideration. In this study, the equilibrium points of the model are computed numerically, and their stability was evaluated.  By simulating cell behavior over time, the Runge-Kutta approach examines how changes in the birth rate affect the model. In our model. The study examined  the effects of changing the birth rate on cell dynamics by comparing results from graphs with equilibrium points. To do the calculations, MATLAB 2014a was utilized.

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Published

2024-12-30

Issue

Section

Articles

How to Cite

Mathematical Analysis of Birth Rate of Cancer Model. (2024). Derna Universiry Journal of Medical Sciences, 2(2), 132-140. https://doi.org/10.58987/28crhk81

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