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This book provides an introduction to the theory of ordinary differential equations and its applications to population dynamics. Part I focuses on linear systems. Beginning with some modeling background, it considers existence, uniqueness, stability of solution, positivity, and the Perron-Frobenius theorem and its consequences. Part II is devoted to nonlinear systems, with material on the semiflow property, positivity, the existence of invariant sub-regions, the Linearized Stability Principle, the Hartman-Grobman Theorem, and monotone semiflow. Part III opens up new perspectives for the understanding of infectious diseases by applying the theoretical results to COVID-19, combining data and epidemic models. Throughout the book the material is illustrated by numerical examples and their MATLAB codes are provided. Bridging an interdisciplinary gap, the book will be valuable to graduate and advanced undergraduate students studying mathematics and population dynamics.
The aim of this book consists in demonstrating the state of the art in the domain of integration of images in worksta- tions devoted to radiologists, surgeons and clinicians. It describes possible tools and solutions in the fields of ima- ge archiving systems (image data bases, compression pro- blems,...), image communication systems, multimodality image matching, and interventional imaging. The participation of specialists coming from both the medi- cal and the engineering profession makes the book up to date and pertinent in the two domains: medical imaging and image processing.
This book constitutes the proceedings of the 13th International Conference on Smart Homes and Health Telematics, ICOST 2015, held in Geneva, Switzerland, in June 2015. The 20 full papers and 16 short contributions included in this volume were carefully reviewed and selected from 45 submissions. They were organized in topical sections named: design and usability; assistive and sentient environments; human behavior and activities monitoring, and health IT and supportive technology. The book also contains 3 invited talks.
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