Spaces of Measures and their Applications to Structured Population Models PDF Download
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Author: Christian Düll
Publisher: Cambridge University Press
ISBN: 1316519104
Category : Business & Economics
Languages : en
Pages : 321
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Book Description
Presents a comprehensive analytical framework for structured population models in spaces of Radon measures and their numerical approximation.
Author: Christian Düll
Publisher: Cambridge University Press
ISBN: 1316519104
Category : Business & Economics
Languages : en
Pages : 321
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Book Description
Presents a comprehensive analytical framework for structured population models in spaces of Radon measures and their numerical approximation.
Author: Horst R. Thieme
Publisher: American Mathematical Society
ISBN: 1470474654
Category : Mathematics
Languages : en
Pages : 357
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Book Description
A fundamental question in the theory of discrete and continuous-time population models concerns the conditions for the extinction or persistence of populations – a question that is addressed mathematically by persistence theory. For some time, it has been recognized that if the dynamics of a structured population are mathematically captured by continuous or discrete semiflows and if these semiflows have first-order approximations, the spectral radii of certain bounded linear positive operators (better known as basic reproduction numbers) act as thresholds between population extinction and persistence. This book combines the theory of discrete-time dynamical systems with applications to population dynamics with an emphasis on spatial structure. The inclusion of two sexes that must mate to produce offspring leads to the study of operators that are (positively) homogeneous (of degree one) and order-preserving rather than linear and positive. While this book offers an introduction to ordered normed vector spaces, some background in real and functional analysis (including some measure theory for a few chapters) will be helpful. The appendix and selected exercises provide a primer about basic concepts and about relevant topics one may not find in every analysis textbook.
Author: Alexander H. Barnett
Publisher: Cambridge University Press
ISBN: 1009007785
Category : Mathematics
Languages : en
Pages : 321
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Book Description
Recovering the phase of the Fourier transform is a ubiquitous problem in imaging applications from astronomy to nanoscale X-ray diffraction imaging. Despite the efforts of a multitude of scientists, from astronomers to mathematicians, there is, as yet, no satisfactory theoretical or algorithmic solution to this class of problems. Written for mathematicians, physicists and engineers working in image analysis and reconstruction, this book introduces a conceptual, geometric framework for the analysis of these problems, leading to a deeper understanding of the essential, algorithmically independent, difficulty of their solutions. Using this framework, the book studies standard algorithms and a range of theoretical issues in phase retrieval and provides several new algorithms and approaches to this problem with the potential to improve the reconstructed images. The book is lavishly illustrated with the results of numerous numerical experiments that motivate the theoretical development and place it in the context of practical applications.
Author: Jean Bernard Lasserre
Publisher: Cambridge University Press
ISBN: 1108838065
Category : Computers
Languages : en
Pages : 185
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Book Description
This accessible overview introduces the Christoffel-Darboux kernel as a novel, simple and efficient tool in statistical data analysis.
Author: Roberto Alicandro
Publisher: Cambridge University Press
ISBN: 1009298801
Category : Mathematics
Languages : en
Pages : 276
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Book Description
Many materials can be modeled either as discrete systems or as continua, depending on the scale. At intermediate scales it is necessary to understand the transition from discrete to continuous models and variational methods have proved successful in this task, especially for systems, both stochastic and deterministic, that depend on lattice energies. This is the first systematic and unified presentation of research in the area over the last 20 years. The authors begin with a very general and flexible compactness and representation result, complemented by a thorough exploration of problems for ferromagnetic energies with applications ranging from optimal design to quasicrystals and percolation. This leads to a treatment of frustrated systems, and infinite-dimensional systems with diffuse interfaces. Each topic is presented with examples, proofs and applications. Written by leading experts, it is suitable as a graduate course text as well as being an invaluable reference for researchers.
Author: Martin Dietrich Buhmann
Publisher: Cambridge University Press
ISBN: 1107072638
Category : Computers
Languages : en
Pages : 291
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Book Description
Delve into an in-depth description and analysis of quasi-interpolation, starting from various areas of approximation theory.
Author: Goldstein
Publisher: Routledge
ISBN: 1351455176
Category : Mathematics
Languages : en
Pages : 358
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Book Description
Suitable as a textbook for a graduate seminar in mathematical modelling, and as a resource for scientists in a wide range of disciplines. Presents 22 lectures from an international conference in Leibnitz, Austria (no date mentioned), explaining recent developments and results in differential equatio
Author: Christos H. Skiadas
Publisher: Springer Nature
ISBN: 3030446956
Category : Social Science
Languages : en
Pages : 448
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Book Description
This book provides theoretical and applied material for estimating vital parts of demography and health issues including the healthy aging process along with calculating the healthy life years lost to disability. It further includes the appropriate methodology for the optimum health expenditure allocation. Through providing data analysis, statistical and stochastic methodology, probability approach and important applications, the book explores topics such as aging and mortality, birth-death processes, self-perceived age, life-time and survival as well as pension and labor-force. By providing a methodological approach to health problems in demography and society including and quantifying important parameters, this book is a valuable guide for researchers, theoreticians and practitioners from various disciplines.
Author: Saber Elaydi
Publisher: Springer Nature
ISBN: 303125225X
Category : Mathematics
Languages : en
Pages : 534
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Book Description
This book comprises selected papers of the 26th International Conference on Difference Equations and Applications, ICDEA 2021, held virtually at the University of Sarajevo, Bosnia and Herzegovina, in July 2021. The book includes the latest and significant research and achievements in difference equations, discrete dynamical systems, and their applications in various scientific disciplines. The book is interesting for Ph.D. students and researchers who want to keep up to date with the latest research, developments, and achievements in difference equations, discrete dynamical systems, and their applications, the real-world problems.
Author: Steve Baigent
Publisher: Springer Nature
ISBN: 3030601072
Category : Mathematics
Languages : en
Pages : 440
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Book Description
This book comprises selected papers of the 25th International Conference on Difference Equations and Applications, ICDEA 2019, held at UCL, London, UK, in June 2019. The volume details the latest research on difference equations and discrete dynamical systems, and their application to areas such as biology, economics, and the social sciences. Some chapters have a tutorial style and cover the history and more recent developments for a particular topic, such as chaos, bifurcation theory, monotone dynamics, and global stability. Other chapters cover the latest personal research contributions of the author(s) in their particular area of expertise and range from the more technical articles on abstract systems to those that discuss the application of difference equations to real-world problems. The book is of interest to both Ph.D. students and researchers alike who wish to keep abreast of the latest developments in difference equations and discrete dynamical systems.
