Mathematical Modeling in Economics, Ecology and the Environment (eBook)

Natali Hritonenko is an award-winning professor of mathematics at Prairie View A&M University. She has traveled the world sharing her research results through numerous presentations and collaborating on groundbreaking research projects with a diverse team of leading experts. During her prolific career, Dr. Hritonenko has authored 7 books and well over 100 papers, and is also on the editorial board of 9 international interdisciplinary journals. Her real passion, however, is teaching and she aims to bring the fascinating and versatile nature of mathematics to her students, while also revealing to them the insights that mathematics can bring to any subject. Dr. Yuri Yatsenko has published seven books and over 200 papers. He earned his MS and PhD from Kiev State University and a Doctor of Science from the USSR Academy of Sciences (Moscow). During his career, he has been a professor in five different countries and taught mathematics, statistics, economics, information systems, and computer sciences in four languages. For five years, he held senior positions in data analytics and operations research at international companies in USA and Canada. He joined Houston Baptist University in 2002 and is currently engaged in intensive collaboration with several European and Asian universities. His areas of expertise include modeling and optimization of economic, industrial, and environmental processes, technological change, innovations, operations research, and computational methods.

Preface.- 1. Introduction: Principles and Tools of Mathematical Modeling. Part I. Models of Controlled Economic Systems.- 2. Aggregate Models of Economic Dynamics.- 3. Modeling of Technological Change.- 4. Models with Heterogeneous Capital.- 5. Optimization of Economic Renovation.- Part II. Models in Ecology and Environment.- 6. Mathematical Models of Biological Populations.- 7. Modeling and Control of Biological Communities.- 8. Models of Air Pollution Propagation.- 9. Models of Water Pollution Propagation.- Part III. Models of Economic-Environmental Systems.- 10. Modeling of Non-Renewable Resources.- 11. Modeling of Environmental Protection.- 12. Models of Global Dynamics: from the Club of Rome to Integrated Assessment.- Index.