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This book is the fourth in a multidisciplinary series which brings together leading researchers in the STEAM-H disciplines (Science, Technology, Engineering, Agriculture, Mathematics and Health) to present their perspective on advances in their own specific fields, and to generate a genuinely interdisciplinary collaboration that transcends parochial subject-matter boundaries. All contributions are carefully edited, peer-reviewed, reasonably self-contained, and pedagogically crafted for a multidisciplinary readership. Contributions are drawn from a variety of fields including mathematics, statistics, game theory and behavioral sciences, biomathematics and physical chemistry, computer science and human-centered computing. This volume is dedicated to Professor Christiane Rousseau, whose work inspires the STEAM-H series, in recognition of her passion for the mathematical sciences and her on-going initiative, the Mathematics of Planet Earth paradigm of interdisciplinarity. The volume's primary goal is to enhance interdisciplinary understanding between these areas of research by showing how new advances in a particular field can be relevant to open problems in another and how many disciplines contribute to a better understanding of relevant issues at the interface of mathematics and the sciences. The main emphasis is on important methods, research directions and applications of analysis within and beyond each field. As such, the volume aims to foster student interest and participation in the STEAM-H domain, as well as promote interdisciplinary research collaborations. The volume is valuable as a reference of choice and a source of inspiration for a broad spectrum of scientists, mathematicians, research students and postdoctoral fellows.
Mathematics. --- Game theory. --- Mathematical physics. --- Mathematical models. --- Mathematical Modeling and Industrial Mathematics. --- Game Theory, Economics, Social and Behav. Sciences. --- Mathematical Applications in the Physical Sciences. --- Mathematical Biology in General. --- Mathematics --- Mathematical and Computational Biology. --- Math --- Science --- Biomathematics. --- Physical mathematics --- Physics --- Games, Theory of --- Theory of games --- Mathematical models --- Models, Mathematical --- Simulation methods --- Biology
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Using the theory of impulsive differential equations, this book focuses on mathematical models which reflect current research in biology, population dynamics, neural networks and economics. The authors provide the basic background from the fundamental theory and give a systematic exposition of recent results related to the qualitative analysis of impulsive mathematical models. Consisting of six chapters, the book presents many applicable techniques, making them available in a single source easily accessible to researchers interested in mathematical models and their applications. Serving as a valuable reference, this text is addressed to a wide audience of professionals, including mathematicians, applied researchers and practitioners.
Mathematics. --- Economics, Mathematical. --- System theory. --- Statistical physics. --- Systems Theory, Control. --- Nonlinear Dynamics. --- Mathematical Biology in General. --- Quantitative Finance. --- Mathematics --- Mathematical models. --- Study and teaching. --- Models, Mathematical --- Simulation methods --- Systems theory. --- Finance. --- Applications of Nonlinear Dynamics and Chaos Theory. --- Mathematical and Computational Biology. --- Funding --- Funds --- Economics --- Currency question --- Biomathematics. --- Economics, Mathematical . --- Mathematical economics --- Econometrics --- Biology --- Physics --- Mathematical statistics --- Systems, Theory of --- Systems science --- Science --- Methodology --- Statistical methods --- Philosophy
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