Mathematical Modeling of Prostate Cancer in Uganda Using the Atangana-Baleanu Caputo Derivative

Authors

  • Buganzi Lukia Kampala International University, Kampala, Uganda,
  • Abdullahi Mohammed Baba Kampala International University, Kampala, Uganda,

DOI:

https://doi.org/10.57233/ijsgs.v11i1.801

Keywords:

prostate, cancer, atangana-baleanu caputo derivative, modeling, fractional order

Abstract

This paper introduces a mathematical model to better understand how prostate cancer progresses in a population, using the Atangana-Baleanu Caputo fractional derivative. The model divides the population into different groups: susceptible individuals, those exposed to cancer-causing factors, individuals at various stages of infection, and those who have recovered. The exposed and infected groups represent the different stages of cancer, while the recovered group accounts for people who have overcome the disease through treatment or natural remission. By using fractional derivatives, the model captures the idea that cancer progression is influenced by past events, making it a more accurate reflection of how the disease unfolds over time. The paper develops a set of equations to describe how people move between these groups, considering factors like exposure, cancer progression, and recovery. Simulations show how the disease spreads and how various treatment strategies can influence the outcome. This model offers a valuable tool for better understanding prostate cancer dynamics and can help guide.

Author Biographies

Buganzi Lukia, Kampala International University, Kampala, Uganda,

Department of Mathematics/Statistics,

School of Mathematics and Computing,

Kampala International University, Kampala, Uganda,

Abdullahi Mohammed Baba, Kampala International University, Kampala, Uganda,

Department of Mathematics/Statistics,

School of Mathematics and Computing,

Kampala International University, Kampala, Uganda,

Downloads

Published

2025-03-31

How to Cite

Lukia, B. ., & Baba, A. M. . (2025). Mathematical Modeling of Prostate Cancer in Uganda Using the Atangana-Baleanu Caputo Derivative. International Journal of Science for Global Sustainability, 11(1), 185–195. https://doi.org/10.57233/ijsgs.v11i1.801