Matrices And Graphs Stability Problems In Mathematical Ecology

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Matrices and Graphs Stability Problems in Mathematical Ecology

D. Logofet
Matrices and Graphs Stability Problems in Mathematical Ecology Book PDF

Author : D. Logofet
Publisher : CRC Press
Page : 320 pages
File Size : 43,7 Mb
Release : 2018-02-01
Category : Science
ISBN : 9781351082778

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Matrices and Graphs Stability Problems in Mathematical Ecology by D. Logofet Pdf

Intuitive ideas of stability in dynamics of a biological population, community, or ecosystem can be formalized in the framework of corresponding mathematical models. These are often represented by systems of ordinary differential equations or difference equations. Matrices and Graphs covers achievements in the field using concepts from matrix theory and graph theory. The book effectively surveys applications of mathematical results pertinent to issues of theoretical and applied ecology. The only mathematical prerequisite for using Matrices and Graphs is a working knowledge of linear algebra and matrices. The book is ideal for biomathematicians, ecologists, and applied mathematicians doing research on dynamic behavior of model populations and communities consisting of multi-component systems. It will also be valuable as a text for a graduate-level topics course in applied math or mathematical ecology.

Sensitivity Analysis: Matrix Methods in Demography and Ecology

Hal Caswell
Sensitivity Analysis Matrix Methods in Demography and Ecology Book PDF

Author : Hal Caswell
Publisher : Springer
Page : 308 pages
File Size : 47,9 Mb
Release : 2019-04-02
Category : Social Science
ISBN : 9783030105341

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Sensitivity Analysis: Matrix Methods in Demography and Ecology by Hal Caswell Pdf

This open access book shows how to use sensitivity analysis in demography. It presents new methods for individuals, cohorts, and populations, with applications to humans, other animals, and plants. The analyses are based on matrix formulations of age-classified, stage-classified, and multistate population models. Methods are presented for linear and nonlinear, deterministic and stochastic, and time-invariant and time-varying cases. Readers will discover results on the sensitivity of statistics of longevity, life disparity, occupancy times, the net reproductive rate, and statistics of Markov chain models in demography. They will also see applications of sensitivity analysis to population growth rates, stable population structures, reproductive value, equilibria under immigration and nonlinearity, and population cycles. Individual stochasticity is a theme throughout, with a focus that goes beyond expected values to include variances in demographic outcomes. The calculations are easily and accurately implemented in matrix-oriented programming languages such as Matlab or R. Sensitivity analysis will help readers create models to predict the effect of future changes, to evaluate policy effects, and to identify possible evolutionary responses to the environment. Complete with many examples of the application, the book will be of interest to researchers and graduate students in human demography and population biology. The material will also appeal to those in mathematical biology and applied mathematics.

Handbook of Ecosystem Theories and Management

Felix Muller
Handbook of Ecosystem Theories and Management Book PDF

Author : Felix Muller
Publisher : CRC Press
Page : 600 pages
File Size : 54,7 Mb
Release : 2000-02-10
Category : Science
ISBN : 9781482278606

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Handbook of Ecosystem Theories and Management by Felix Muller Pdf

As part of the Environmental and Ecological Modeling Handbooks series, the Handbook of Ecosystem Theories and Management provides a comprehensive overview of ecosystem theory and the tools - ecological engineering, ecological modeling, ecotoxicology and ecological economics -to manage these systems. The book is laid out to provide a summary or

Matrix Models for Population, Disease, and Evolutionary Dynamics

J. M. Cushing
Matrix Models for Population Disease and Evolutionary Dynamics Book PDF

Author : J. M. Cushing
Publisher : American Mathematical Society
Page : 293 pages
File Size : 55,8 Mb
Release : 2024-02-29
Category : Mathematics
ISBN : 9781470473341

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Matrix Models for Population, Disease, and Evolutionary Dynamics by J. M. Cushing Pdf

This book offers an introduction to the use of matrix theory and linear algebra in modeling the dynamics of biological populations. Matrix algebra has been used in population biology since the 1940s and continues to play a major role in theoretical and applied dynamics for populations structured by age, body size or weight, disease states, physiological and behavioral characteristics, life cycle stages, or any of many other possible classification schemes. With a focus on matrix models, the book requires only first courses in multivariable calculus and matrix theory or linear algebra as prerequisites. The reader will learn the basics of modeling methodology (i.e., how to set up a matrix model from biological underpinnings) and the fundamentals of the analysis of discrete time dynamical systems (equilibria, stability, bifurcations, etc.). A recurrent theme in all chapters concerns the problem of extinction versus survival of a population. In addition to numerous examples that illustrate these fundamentals, several applications appear at the end of each chapter that illustrate the full cycle of model setup, mathematical analysis, and interpretation. The author has used the material over many decades in a variety of teaching and mentoring settings, including special topics courses and seminars in mathematical modeling, mathematical biology, and dynamical systems.

Handbook of Linear Algebra

Leslie Hogben
Handbook of Linear Algebra Book PDF

Author : Leslie Hogben
Publisher : CRC Press
Page : 1402 pages
File Size : 45,7 Mb
Release : 2006-11-02
Category : Mathematics
ISBN : 9781420010572

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Handbook of Linear Algebra by Leslie Hogben Pdf

The Handbook of Linear Algebra provides comprehensive coverage of linear algebra concepts, applications, and computational software packages in an easy-to-use handbook format. The esteemed international contributors guide you from the very elementary aspects of the subject to the frontiers of current research. The book features an accessibl

Topics in Mathematical Biology

Karl Peter Hadeler
Topics in Mathematical Biology Book PDF

Author : Karl Peter Hadeler
Publisher : Springer
Page : 353 pages
File Size : 48,7 Mb
Release : 2017-12-20
Category : Mathematics
ISBN : 9783319656212

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Topics in Mathematical Biology by Karl Peter Hadeler Pdf

This book analyzes the impact of quiescent phases on biological models. Quiescence arises, for example, when moving individuals stop moving, hunting predators take a rest, infected individuals are isolated, or cells enter the quiescent compartment of the cell cycle. In the first chapter of Topics in Mathematical Biology general principles about coupled and quiescent systems are derived, including results on shrinking periodic orbits and stabilization of oscillations via quiescence. In subsequent chapters classical biological models are presented in detail and challenged by the introduction of quiescence. These models include delay equations, demographic models, age structured models, Lotka-Volterra systems, replicator systems, genetic models, game theory, Nash equilibria, evolutionary stable strategies, ecological models, epidemiological models, random walks and reaction-diffusion models. In each case we find new and interesting results such as stability of fixed points and/or periodic orbits, excitability of steady states, epidemic outbreaks, survival of the fittest, and speeds of invading fronts. The textbook is intended for graduate students and researchers in mathematical biology who have a solid background in linear algebra, differential equations and dynamical systems. Readers can find gems of unexpected beauty within these pages, and those who knew K.P. (as he was often called) well will likely feel his presence and hear him speaking to them as they read.

Robust Control

Andrzej Bartoszewicz
Robust Control Book PDF

Author : Andrzej Bartoszewicz
Publisher : BoD – Books on Demand
Page : 696 pages
File Size : 44,9 Mb
Release : 2011-04-11
Category : Science
ISBN : 9789533072296

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Robust Control by Andrzej Bartoszewicz Pdf

The main objective of this monograph is to present a broad range of well worked out, recent theoretical and application studies in the field of robust control system analysis and design. The contributions presented here include but are not limited to robust PID, H-infinity, sliding mode, fault tolerant, fuzzy and QFT based control systems. They advance the current progress in the field, and motivate and encourage new ideas and solutions in the robust control area.

The Philosophy of Ecology

James Justus
The Philosophy of Ecology Book PDF

Author : James Justus
Publisher : Cambridge University Press
Page : 225 pages
File Size : 49,9 Mb
Release : 2021-06-10
Category : Nature
ISBN : 9781107040045

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The Philosophy of Ecology by James Justus Pdf

Introduces the philosophical issues which ecology poses about the biological world and the environmental sciences attempting to protect it.

Biological Evolution and Statistical Physics

M. Lässig,A. Valleriani
Biological Evolution and Statistical Physics Book PDF

Author : M. Lässig,A. Valleriani
Publisher : Springer
Page : 342 pages
File Size : 52,9 Mb
Release : 2008-01-11
Category : Science
ISBN : 9783540456926

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Biological Evolution and Statistical Physics by M. Lässig,A. Valleriani Pdf

This set of lecture notes gives a first coherent account of a novel aspect of the living world that can be called biological information. The book presents both a pedagogical and state-of-the art roadmap of this rapidly evolving area and covers the whole field, from information which is encoded in the molecular genetic code to the description of large-scale evolution of complex species networks. The book will prove useful for all those who work at the interface of biology, physics and information science.

Systems Science and Modeling for Ecological Economics

Alexey A. Voinov
Systems Science and Modeling for Ecological Economics Book PDF

Author : Alexey A. Voinov
Publisher : Academic Press
Page : 432 pages
File Size : 43,8 Mb
Release : 2010-07-27
Category : Science
ISBN : 0080886175

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Systems Science and Modeling for Ecological Economics by Alexey A. Voinov Pdf

Modeling is a key component to sciences from mathematics to life science, including environmental and ecological studies. By looking at the underlying concepts of the software, we can make sure that we build mathematically feasible models and that we get the most out of the data and information that we have. Systems Science and Modeling for Ecological Economics shows how models can be analyzed using simple math and software to generate meaningful qualitative descriptions of system dynamics. This book shows that even without a full analytical, mathematically rigorous analysis of the equations, there may be ways to derive some qualitative understanding of the general behavior of a system. By relating some of the modeling approaches and systems theory to real-world examples the book illustrates how these approaches can help understand concepts such as sustainability, peak oil, adaptive management, optimal harvest and other practical applications. Relates modeling approaches and systems theory to real-world examples Teaches students to build mathematically feasible models and get the most out of the data and information available Wide range of applications in hydrology, population dynamics, market cycles, sustainability theory, management, and more

Matrix Mathematics

Dennis S. Bernstein
Matrix Mathematics Book PDF

Author : Dennis S. Bernstein
Publisher : Princeton University Press
Page : 1183 pages
File Size : 40,8 Mb
Release : 2009-07-26
Category : Mathematics
ISBN : 9780691140391

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Matrix Mathematics by Dennis S. Bernstein Pdf

Each chapter in this book describes relevant background theory followed by specialized results. Hundreds of identities, inequalities, and matrix facts are stated clearly with cross references, citations to the literature, and illuminating remarks.

Trait-Mediated Indirect Interactions

Takayuki Ohgushi,Oswald Schmitz,Robert D. Holt
Trait Mediated Indirect Interactions Book PDF

Author : Takayuki Ohgushi,Oswald Schmitz,Robert D. Holt
Publisher : Cambridge University Press
Page : 128 pages
File Size : 47,8 Mb
Release : 2012-12-06
Category : Nature
ISBN : 9781139851350

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Trait-Mediated Indirect Interactions by Takayuki Ohgushi,Oswald Schmitz,Robert D. Holt Pdf

There is increasing evidence that the structure and functioning of ecological communities and ecosystems are strongly influenced by flexible traits of individuals within species. A deep understanding of how trait flexibility alters direct and indirect species interactions is crucial for addressing key issues in basic and applied ecology. This book provides an integrated perspective on the ecological and evolutionary consequences of interactions mediated by flexible species traits across a wide range of systems. It is the first volume synthesizing the rapidly expanding research field of trait-mediated indirect effects and highlights how the conceptual framework of these effects can aid the understanding of evolutionary processes, population dynamics, community structure and stability, and ecosystem function. It not only brings out the importance of this emerging field for basic ecological questions, but also explores the implications of trait-mediated interactions for the conservation of biodiversity and the response of ecosystems to anthropogenic environmental changes.

Handbook of Linear Algebra, Second Edition

Leslie Hogben
Handbook of Linear Algebra Second Edition Book PDF

Author : Leslie Hogben
Publisher : CRC Press
Page : 1906 pages
File Size : 53,8 Mb
Release : 2013-11-26
Category : Mathematics
ISBN : 9781466507289

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Handbook of Linear Algebra, Second Edition by Leslie Hogben Pdf

With a substantial amount of new material, the Handbook of Linear Algebra, Second Edition provides comprehensive coverage of linear algebra concepts, applications, and computational software packages in an easy-to-use format. It guides you from the very elementary aspects of the subject to the frontiers of current research. Along with revisions and updates throughout, the second edition of this bestseller includes 20 new chapters. New to the Second Edition Separate chapters on Schur complements, additional types of canonical forms, tensors, matrix polynomials, matrix equations, special types of matrices, generalized inverses, matrices over finite fields, invariant subspaces, representations of quivers, and spectral sets New chapters on combinatorial matrix theory topics, such as tournaments, the minimum rank problem, and spectral graph theory, as well as numerical linear algebra topics, including algorithms for structured matrix computations, stability of structured matrix computations, and nonlinear eigenvalue problems More chapters on applications of linear algebra, including epidemiology and quantum error correction New chapter on using the free and open source software system Sage for linear algebra Additional sections in the chapters on sign pattern matrices and applications to geometry Conjectures and open problems in most chapters on advanced topics Highly praised as a valuable resource for anyone who uses linear algebra, the first edition covered virtually all aspects of linear algebra and its applications. This edition continues to encompass the fundamentals of linear algebra, combinatorial and numerical linear algebra, and applications of linear algebra to various disciplines while also covering up-to-date software packages for linear algebra computations.

Encyclopedia of Microbiology

Thomas M. Schmidt
Encyclopedia of Microbiology Book PDF

Author : Thomas M. Schmidt
Publisher : Academic Press
Page : 3248 pages
File Size : 40,5 Mb
Release : 2019-09-11
Category : Science
ISBN : 9780128117378

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Encyclopedia of Microbiology by Thomas M. Schmidt Pdf

Encyclopedia of Microbiology, Fourth Edition, Five Volume Set gathers both basic and applied dimensions in this dynamic field that includes virtually all environments on Earth. This range attracts a growing number of cross-disciplinary studies, which the encyclopedia makes available to readers from diverse educational backgrounds. The new edition builds on the solid foundation established in earlier versions, adding new material that reflects recent advances in the field. New focus areas include `Animal and Plant Microbiomes’ and ‘Global Impact of Microbes`. The thematic organization of the work allows users to focus on specific areas, e.g., for didactical purposes, while also browsing for topics in different areas. Offers an up-to-date and authoritative resource that covers the entire field of microbiology, from basic principles, to applied technologies Provides an organic overview that is useful to academic teachers and scientists from different backgrounds Includes chapters that are enriched with figures and graphs, and that can be easily consulted in isolation to find fundamental definitions and concepts

A Concrete Approach to Mathematical Modelling

Mike Mesterton-Gibbons
A Concrete Approach to Mathematical Modelling Book PDF

Author : Mike Mesterton-Gibbons
Publisher : John Wiley & Sons
Page : 620 pages
File Size : 45,5 Mb
Release : 2011-02-14
Category : Mathematics
ISBN : 9781118030646

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A Concrete Approach to Mathematical Modelling by Mike Mesterton-Gibbons Pdf

WILEY-INTERSCIENCE PAPERBACK SERIES The Wiley-Interscience Paperback Series consists ofselected books that have been made more accessible to consumers inan effort to increase global appeal and general circulation. Withthese new unabridged softcover volumes, Wiley hopes to extend thelives of these works by making them available to future generationsof statisticians, mathematicians, and scientists. " . . . [a] treasure house of material for students and teachersalike . . . can be dipped into regularly for inspiration and ideas.It deserves to become a classic." —London Times Higher Education Supplement "The author succeeds in his goal of serving the needs of theundergraduate population who want to see mathematics in action, andthe mathematics used is extensive and provoking." —SIAM Review "Each chapter discusses a wealth of examples ranging from oldstandards . . . to novelty . . . each model is developedcritically, analyzed critically, and assessed critically." —Mathematical Reviews A Concrete Approach to Mathematical Modelling providesin-depth and systematic coverage of the art and science ofmathematical modelling. Dr. Mesterton-Gibbons shows how themodelling process works and includes fascinating examples fromvirtually every realm of human, machine, natural, and cosmicactivity. Various models are found throughout the book, includinghow to determine how fast cars drive through a tunnel, how manyworkers industry should employ, the length of a supermarketcheckout line, and more. With detailed explanations, exercises, andexamples demonstrating real-life applications in diverse fields,this book is the ultimate guide for students and professionals inthe social sciences, life sciences, engineering, statistics,economics, politics, business and management sciences, and everyother discipline in which mathematical modelling plays a role.