Complexity in Mathematical Biology for Sustainable Development. Modeling Climate, Disease, and Ecosystems through Difference, Differential, and Fractional Theory. Advanced Studies in Complex Systems

Complexity in Mathematical Biology for Sustainable Development: Modeling Climate, Disease, and Ecosystems through Difference, Differential, and Fractional Theory introduces new mathematical methods to derive complex modeling solutions for a wide range of engineering and scientific research applications. The book strikes a balance between high-level mathematical theory and technical derivations, offering step-by-step explanations, real-world case studies, and clear introductions to advanced mathematical models. Solutions include modeling and quantifying complexity, with emphasis placed on the growing need for interdisciplinary collaboration, the integration of real-time data into models, and the development of adaptive frameworks challenges such as pandemics, biodiversity loss, and climate uncertainty.

The book is designed to meet the needs of a diverse primary audience, from graduate students to professionals in fields such as computer science, public health, environmental policy, applied mathematics, and biotechnology. By providing both theoretical foundations and practical applications, the book equips readers with the skills and knowledge to tackle pressing global challenges through mathematical models, making it a valuable resource for both academic and professional development.

1. Introduction to Mathematical Biology
2. Difference Equations
3. Ordinary Differential Equations (ODEs)
4. Fractional-Order Differential Equations
5. Weighted Graphs, Networks, and Statistical Models
6. Mathematical Models in Ecosystems and Natural Systems
7. Human Health and Sustainable Development
8. Climate Change Models
9. Applications to Sustainable Development Goals (SDGs)
10. Applications and Future Perspectives of Mathematical Biology
11. Conclusion

Authors

Fatma Bozkurt Department of Mathematics and Science Education, Erciyes University, Kayseri, Turkiye.

Prof. Dr. Fatma Bozkurt is a Professor in the Department of Mathematics Education at Erciyes University, T�rkiye. She holds a PhD in Applied Mathematics (2010) and completed her postdoctoral research at United Arab Emirates University. With over 20 years of international teaching and research experience across Europe and the Middle East, she has developed a strong interdisciplinary profile at the intersection of applied mathematics, sustainability, and education.

Her research focuses on mathematical modeling of complex biological and socio-ecological systems, including disease dynamics, cancer treatment modeling, and climate-related processes. She has published extensively in leading Q1 journals and has led multiple research projects supported by T�BITAK.

Prof. Dr. Bozkurt is a member of UNESCO's Greening Education Partnership and a co-author of the Greening Communities Guidance. Her work extends to policy-oriented educational design, integrating Sustainable Development Goals (SDGs), climate literacy, and green skills into teacher education and lifelong learning systems. She also has extensive experience in international curriculum development and interdisciplinary STEAM education aligned with the Fourth Industrial Revolution.

Table of Contents

Authors

Related Topics

Related Products

Advances in Computational Methods and Modeling for Science and Engineering

Intelligent Fractal-Based Image Analysis. Applications in Pattern Recognition and Machine Vision. Cognitive Data Science in Sustainable Computing

Epidemiological Modeling with Application to Covid-19

Applications of Piecewise Defined Fractional Operators. Advanced Studies in Complex Systems

Fractional Difference, Differential Equations, and Inclusions. Analysis and Stability