Author: Nico Stollenwerk
Publisher: World Scientific
ISBN: 1848164017
Category : Medical
Languages : en
Pages : 237
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Book Description
The present book describes novel theories of mutation pathogen systems showing critical fluctuations, as a paradigmatic example of an application of the mathematics of critical phenomena to the life sciences. It will enable the reader to understand the implications and future impact of these findings, yet at same time allow him to actively follow the mathematical tools and scientific origins of critical phenomena. This book also seeks to pave the way to further fruitful applications of the mathematics of critical phenomena in other fields of the life sciences.
Author: Bernd Blasius
Publisher: World Scientific
ISBN: 9812771573
Category : Science
Languages : en
Pages : 257
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Book Description
This collection of review articles is devoted to the modeling of ecological, epidemiological and evolutionary systems. Theoretical mathematical models are perhaps one of the most powerful approaches available for increasing our understanding of the complex population dynamics in these natural systems. Exciting new techniques are currently being developed to meet this challenge, such as generalized or structural modeling, adaptive dynamics or multiplicative processes. Many of these new techniques stem from the field of nonlinear dynamics and chaos theory, where even the simplest mathematical rule can generate a rich variety of dynamical behaviors that bear a strong analogy to biological populations.
Author: Bernd Blasius
Publisher: World Scientific
ISBN: 9814474207
Category : Science
Languages : en
Pages : 257
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Book Description
This collection of review articles is devoted to the modeling of ecological, epidemiological and evolutionary systems. Theoretical mathematical models are perhaps one of the most powerful approaches available for increasing our understanding of the complex population dynamics in these natural systems. Exciting new techniques are currently being developed to meet this challenge, such as generalized or structural modeling, adaptive dynamics or multiplicative processes. Many of these new techniques stem from the field of nonlinear dynamics and chaos theory, where even the simplest mathematical rule can generate a rich variety of dynamical behaviors that bear a strong analogy to biological populations.
Author: Albert N. Shiryaev
Publisher: Springer Science & Business Media
ISBN: 3642335497
Category : Mathematics
Languages : en
Pages : 468
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Book Description
The role of Yuri Vasilyevich Prokhorov as a prominent mathematician and leading expert in the theory of probability is well known. Even early in his career he obtained substantial results on the validity of the strong law of large numbers and on the estimates (bounds) of the rates of convergence, some of which are the best possible. His findings on limit theorems in metric spaces and particularly functional limit theorems are of exceptional importance. Y.V. Prokhorov developed an original approach to the proof of functional limit theorems, based on the weak convergence of finite dimensional distributions and the condition of tightness of probability measures. The present volume commemorates the 80th birthday of Yuri Vasilyevich Prokhorov. It includes scientific contributions written by his colleagues, friends and pupils, who would like to express their deep respect and sincerest admiration for him and his scientific work.
Author: Axel Sandvig
Publisher: Frontiers Media SA
ISBN: 2832513247
Category : Science
Languages : en
Pages : 171
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Book Description
Author: A. D. Bazykin
Publisher: World Scientific
ISBN: 9789810216856
Category : Science
Languages : en
Pages : 224
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Book Description
This book contains a systematic study of ecological communities of two or three interacting populations. Starting from the Lotka-Volterra system, various regulating factors are considered, such as rates of birth and death, predation and competition. The different factors can have a stabilizing or a destabilizing effect on the community, and their interplay leads to increasingly complicated behavior. Studying and understanding this path to greater dynamical complexity of ecological systems constitutes the backbone of this book. On the mathematical side, the tool of choice is the qualitative theory of dynamical systems — most importantly bifurcation theory, which describes the dependence of a system on the parameters. This approach allows one to find general patterns of behavior that are expected to be observed in ecological models. Of special interest is the reaction of a given model to disturbances of its present state, as well as to changes in the external conditions. This leads to the general idea of “dangerous boundaries” in the state and parameter space of an ecological system. The study of these boundaries allows one to analyze and predict qualitative and often sudden changes of the dynamics — a much-needed tool, given the increasing antropogenic load on the biosphere.As a spin-off from this approach, the book can be used as a guided tour of bifurcation theory from the viewpoint of application. The interested reader will find a wealth of intriguing examples of how known bifurcations occur in applications. The book can in fact be seen as bridging the gap between mathematical biology and bifurcation theory.
Author: Per Bak
Publisher: Springer Science & Business Media
ISBN: 1475754264
Category : Mathematics
Languages : en
Pages : 229
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Book Description
Self-organized criticality, the spontaneous development of systems to a critical state, is the first general theory of complex systems with a firm mathematical basis. This theory describes how many seemingly desperate aspects of the world, from stock market crashes to mass extinctions, avalanches to solar flares, all share a set of simple, easily described properties. "...a'must read'...Bak writes with such ease and lucidity, and his ideas are so intriguing...essential reading for those interested in complex systems...it will reward a sufficiently skeptical reader." -NATURE "...presents the theory (self-organized criticality) in a form easily absorbed by the non-mathematically inclined reader." -BOSTON BOOK REVIEW "I picture Bak as a kind of scientific musketeer; flamboyant, touchy, full of swagger and ready to join every fray... His book is written with panache. The style is brisk, the content stimulating. I recommend it as a bracing experience." -NEW SCIENTIST
Author: Uwe C. Täuber
Publisher: Cambridge University Press
ISBN: 0521842239
Category : Science
Languages : en
Pages : 529
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Book Description
A comprehensive and unified introduction to describing and understanding complex interacting systems.
Author: Solomon P. Wasser
Publisher: Elsevier
ISBN: 0323907520
Category : Science
Languages : en
Pages : 382
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Book Description
New Horizons in Evolution is a compendium of the latest research, analyses, and theories of evolutionary biology. Chapters are collected from the international symposium held by the Board of Governors of the University of Haifa to honor Dr. Eviatar Nevo, founder and director of the Institute of Evolution. This book includes material written by top global scientists. Such detailed summaries and recent advances include topics like genomics, epigenetics, evolutionary theory, and the evolution of cancer. This book analyzes evolutionary biology of animals, such as lizards and subterranean mammals. It also discusses agricultural evolution, specifically the vital wheat crop in various climates and locations. Each chapter contributes the most up-to-date knowledge of evolution's role in speciation, adaptation, and regulation. New Horizons in Evolution is a valuable resource for researchers involved in evolution, evolutionary biology, and evolutionary theory. Advanced undergraduate and graduate students in evolutionary biology courses will also find this useful due to the high expertise level and latest knowledge available through this resource. Examines the evolution of species in extreme conditions Discusses the role of evolution in medicine and cancer research Features the latest data and advances in evolution theory
Author: Adrian Sleigh
Publisher: World Scientific
ISBN: 9812568336
Category : Medical
Languages : en
Pages : 463
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Book Description
Initially stimulated by a scholarly workshop convened in Singapore in late 2004, and written over the subsequent 18 months, this volume considers the potentially lethal pattern of infectious disease emergence in Asia. It studies linkages to changes in patterns of human activity, including but not limited to shifts in the distribution and concentration of human settlements and the patterns of movement within and between them. It explores the causes and consequences of infectious agents in the region historically and examines such newly emergent natural biological threats as SARS and avian influenza.Drawing on a range of disciplinary perspectives, the book contains analyses rooted in the social, physical and biological sciences as well as works which span these fields. Among the issues considered are the ways in which changes in our natural and built environment, social and economic pressures, shifting policies and patterns of collaboration in responding to disease impact upon our approach to and success in containing serious threats.Infection control has moved beyond the province of clinical experts, epidemiologists and microbiologists, into the mathematics of epidemic prevention and control, as well as the overall physical and human ecology and historical contexts of emerging infections. Not only does such a broad approach enable appreciation of complex forces driving growing epidemic risks in Asia today, it also reveals the importance and relevance of population dynamics, as well as the global urgency of alleviating unsatisfactory health conditions in Asia. The topic and the broad approach has international appeal beyond the region as many of these forces operate throughout the world.
