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Elsevier

Complexity in Mathematical Biology for Sustainable Development

Modeling Climate, Disease, and Ecosystems through Difference, Differential, and Fractional Theory

  • 1st Edition - August 1, 2026
  • Latest edition
  • Author: Fatma Bozkurt
  • Language: English

Complexity in Mathematical Biology for Sustainable Development: Modeling Climate, Disease, and Ecosystems through Difference, Differential, and Fractional Theory introduces new ma… Read more

Description

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.

Key features

  • Presents clear, accessible introductions to advanced mathematical models
  • Includes step-by-step guides for solving difference, differential, and fractional-order equations, with applications in climate, health, and biodiversity
  • Provides extensive case studies that demonstrate the power of mathematical modeling in solving pressing global problems, including climate change and disease control

Readership

Researchers in computational modelling, applied mathematicians, and computer scientists working with researchers, engineers, and scientists in a wide range of modelling applications for engineering and scientific research. The primary audience also includes researchers and professionals in the fields of mathematics, IT, biomedicine, AI, ML, biology, healthcare, physics, and environmental science

Table of contents

1. Introduction to Mathematical Biology

1.1 What is Mathematical Biology?

1.2 Historical Development of Mathematical Biology

1.3 Overview of Mathematical Tools in Biology

1.4 Relevance to Sustainable Development


2. Difference Equations


3. Ordinary Differential Equations (ODEs)


4. Fractional-Order Differential Equations


5. Weighted Graphs, Networks, and Statistical Models

5.1 Weighted Graphs and Networks

5.2 Statistical Models


6. Mathematical Models in Ecosystems and Natural Systems

6.1 Population Dynamics Models

6.2 Impact of Environmental Changes

6.3 Biodiversity and Ecosystem Function Models

6.4 Sustainability Insights


7. Human Health and Sustainable Development

7.1 Human Population Growth and Resource Use

7.2 Epidemic Dynamics and Infectious Disease Models

7.3 Food Security and Agricultural Sustainability

7.4 Water Resources and Energy Consumption

7.5 Case Studies in Public Health and Disease Models


8. Climate Change Models

8.1 Energy Balance Models for Climate Systems

8.2 CO2 Dynamics and Long-Term Memory Effects

8.3 Climate-Biosphere Interactions

8.4 Sustainable Cities and Ecological Footprint Models

8.5 Climate Change Case Studies


9. Applications to Sustainable Development Goals (SDGs)

9.1 Biodiversity and Conservation

9.2 Health and Well-Being

9.3 Climate Action and Ecosystem Preservation


10. Applications and Future Perspectives of Mathematical Biology

10.1 Mathematical Models for Ecological and Biological Conservation

10.2 Mathematical Models in Biotechnology and Genetic Engineering

10.3 Mathematical Applications for Human Health

10.4 Integration of Mathematical Biology and SDGs

10.5 Systematic Approach and Multidisciplinary Studies


11. Conclusion

11.1 Summary of Key Insights

11.2 The Path Forward

11.3 Risks and Limitations in Mathematical Modeling

Product details

  • Edition: 1
  • Latest edition
  • Published: August 1, 2026
  • Language: English

About the author

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Fatma Bozkurt

Prof. Dr. Fatma Bozkurt is a Professor in the Department of Mathematics Education at Erciyes University, Türkiye. 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 TÜBİTAK.

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.

Affiliations and expertise
Department of Mathematics and Science Education, Erciyes University, Kayseri, Turkiye