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
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, providing a practical and rigorous guide for data practitioners to effectively implement complex models in real-world scenarios. 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. The author offers specific solutions that 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 to address emerging global 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.
- Presents clear, accessible introductions to advanced mathematical models
- Includes step-by-step guides to solving difference, differential, and fractional-order equations, with applications to 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
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
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
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
- Edition: 1
- Latest edition
- Published: August 1, 2026
- Language: English
FB
Fatma Bozkurt
Dr. Fatma Bozkurt is a Professor currently affiliated with the Department of Mathematics and Science Education at Erciyes University. She obtained her Bachelor's degree in Mathematics from Erciyes University in 2002, followed by two Master’s degrees: one in Applied Mathematics from Erciyes University and another in Mathematics and Science Education from Hacettepe University in 2005. Dr. Bozkurt earned her Ph.D. in Applied Mathematics from Erciyes University in 2010 and completed a Postdoctoral study at the United Arab Emirates University in 2014.
With 18 years of teaching and research experience both in Turkey and internationally—including Germany, the UAE, and Kuwait—she has dedicated her career to advancing education in applied mathematics. Prof. Dr. Bozkurt specializes in developing curricula that align with international standards and meet the evolving expectations of the labor market for Gen-Z and Gen-Alpha, particularly in the context of the 4th Industrial Revolution. Her work integrates principles of globalization and the Sustainable Development Goals (SDG) 2030 into educational frameworks.
Her expertise in applied mathematics has led her to successfully build mathematical models that address various medical challenges, including mixed immune-chemotherapeutic treatments for cancer and the spread and control mechanisms of SARS-CoV-2, with findings published in Q1 journals. Prof. Dr. Fatma Bozkurt was a recipient of the TUBİTAK 2211 Ph.D. scholarship and the TUBİTAK 2219 postdoctoral scholarship. She is a proud member of the UNESCO Green Education Partnership, further emphasizing her commitment to sustainable education practices. Additionally, she contributes comprehensive insights and consultancy on sustainability challenges and solutions at COP 29 in Baku, Azerbaijan, 2014.
Affiliations and expertise
Department of Mathematics and Science Education, Erciyes University, Kayseri, Turkiye