A study co-authored by a researcher from Near East University has introduced an innovative approach using fractional calculus to model the dynamics of epidemic diseases. This study, aligning with Sustainable Development Goals focused on promoting health and well-being and achieving gender equality, offers a novel perspective in understanding and managing disease outbreaks.

The research utilizes fractional calculus, a branch of applied mathematics, to create models that better represent the complex dynamics of various diseases, including infectious and non-infectious ones like cancer. This approach is significant because it incorporates memory effects and higher-order dynamics, providing a more accurate simulation of real-world phenomena.

The study reviews recent advancements in fractional modeling of diseases, emphasizing the importance of these models in predicting the spread and control of epidemics. Different fractional operators, such as Caputo and Caputo Fabrizio, are examined for their effectiveness in modeling diseases. The paper highlights how fractional calculus can be used to modify mathematical models for transmission, treatment, vaccination, and precautionary measures, ultimately aiding in mitigating the impact of diseases on society.

One of the critical applications of this research is in cancer treatment. The study presents a model using the Caputo fractional operator to analyze cancer cell growth and the impact of chemotherapy. The results demonstrate the model’s effectiveness in predicting the dynamics of cancer treatment, offering valuable insights for medical professionals.

The research concludes that fractional calculus models can be a powerful tool for policymakers, health professionals, and stakeholders in making informed decisions to prevent or control disease outbreaks. These models provide a more accurate representation of contagious diseases, which is crucial for developing complex mathematical models for outbreak control, vaccination policies, and prevention strategies.

In summary, this study from Near East University marks a significant advancement in the field of biomathematics, offering a more comprehensive framework for understanding and managing disease dynamics. It underscores the potential of fractional calculus in enhancing our ability to predict, control, and ultimately overcome various health challenges, contributing to the global pursuit of improved health and gender equality in healthcare access and outcomes.

For further details, access the original paper from the publisher’s link:

https://www.sciencedirect.com/science/article/pii/S1110016823004313