Matrix Models For Population Disease And Evolutionary Dynamics
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Matrix Models For Population Disease And Evolutionary Dynamics
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Author : J. M. Cushing
language : en
Publisher: American Mathematical Society
Release Date : 2024-02-29
Matrix Models For Population Disease And Evolutionary Dynamics written by J. M. Cushing and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-02-29 with Mathematics categories.
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.
New Frontiers Of Molecular Epidemiology Of Infectious Diseases
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Author : Serge Morand
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-09-08
New Frontiers Of Molecular Epidemiology Of Infectious Diseases written by Serge Morand and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-08 with Medical categories.
Molecular epidemiology has recently broaden its focuses due to the development of molecular tools but also by incorporating advances of other fields such as mathematical epidemiology, molecular ecology, population genetics and evolution. Facing new risks of emerging and re-emerging infectious diseases that are threats for humans and their livestock, the objectives of molecular epidemiology include: - the development of molecular tools, genotyping and gene expression - the incorporation of concepts and results of population genetics of infectious diseases - the integration of recent advances in theoretical epidemiology and evolutionary ecology of diseases - a better understanding of transmission for the development of risk factors analyses. This book will demonstrate how the latest developments in molecular tools and in epidemiology can be integrated with studies of host-pathogen interactions. Besides a strong theoretical component, there will also be an emphasis on applications in the fields of epidemiology, public health, veterinary medicine, and health ecology. Students and researchers in the fields of epidemiology, animal and human health, evolutionary ecology, parasitology are the main potential readers of the book, as well as a broader audience from veterinary medicine and conservation.
Mathematical Models For Communicable Diseases
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Author : Fred Brauer
language : en
Publisher: SIAM
Release Date : 2013-02-07
Mathematical Models For Communicable Diseases written by Fred Brauer and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-07 with Mathematics categories.
A self-contained and comprehensive guide to the mathematical modeling of disease transmission, appropriate for graduate students.
Time Process And Structured Transformation In Archaeology
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Author : James McGlade
language : en
Publisher: Routledge
Release Date : 2013-10-16
Time Process And Structured Transformation In Archaeology written by James McGlade and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-16 with Social Science categories.
In a discipline which essentially studies how modern man came to be, it is remarkable that there are hardly any conceptual tools to describe change. This is due to the history of the western intellectual and scientific tradition, which for a long time favoured mechanics over dynamics, and the study of stability over that of change. Change was primarily deemed due to external events (in archaeology mainly climatic or 'environmental'). Revolutionary innovations in the natural and life sciences, often (erroneously) referred to as 'chaos theory', suggest that there are ways to overcome this problem. A wide range of processes can be described in terms of dynamic systems, and modern computing methods enable us to investigate many of their properties. This volume presents a cogent argument for the use of such approaches, and a discussion of a number of its aspects by a range of scientists from the humanities, social and natural sciences, and archaeology.
Modelling Complex Ecological Dynamics
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Author : Fred Jopp
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-02-11
Modelling Complex Ecological Dynamics written by Fred Jopp and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-11 with Science categories.
Model development is of vital importance for understanding and management of ecological processes. Identifying the complex relationships between ecological patterns and processes is a crucial task. Ecological modelling—both qualitatively and quantitatively—plays a vital role in analysing ecological phenomena and for ecological theory. This textbook provides a unique overview of modelling approaches. Representing the state-of-the-art in modern ecology, it shows how to construct and work with various different model types. It introduces the background of each approach and its application in ecology. Differential equations, matrix approaches, individual-based models and many other relevant modelling techniques are explained and demonstrated with their use. The authors provide links to software tools and course materials. With chapters written by leading specialists, “Modelling Complex Ecological Dynamics” is an essential contribution to expand the qualification of students, teachers and scientists alike.
Modeling Evolution Of Heterogeneous Populations
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Author : Irina Kareva
language : en
Publisher: Academic Press
Release Date : 2019-10-16
Modeling Evolution Of Heterogeneous Populations written by Irina Kareva and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-16 with Mathematics categories.
Modeling Evolution of Heterogeneous Populations: Theory and Applications describes, develops and provides applications of a method that allows incorporating population heterogeneity into systems of ordinary and discrete differential equations without significantly increasing system dimensionality. The method additionally allows making use of results of bifurcation analysis performed on simplified homogeneous systems, thereby building on the existing body of tools and knowledge and expanding applicability and predictive power of many mathematical models. - Introduces Hidden Keystone Variable (HKV) method, which allows modeling evolution of heterogenous populations, while reducing multi-dimensional selection systems to low-dimensional systems of differential equations - Demonstrates that replicator dynamics is governed by the principle of maximal relative entropy that can be derived from the dynamics of selection systems instead of being postulated - Discusses mechanisms behind models of both Darwinian and non-Darwinian selection - Provides examples of applications to various fields, including cancer growth, global demography, population extinction, tragedy of the commons and resource sustainability, among others - Helps inform differences in underlying mechanisms of population growth from experimental observations, taking one from experiment to theory and back
Sensitivity Analysis Matrix Methods In Demography And Ecology
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Author : Hal Caswell
language : en
Publisher: Springer
Release Date : 2019-04-02
Sensitivity Analysis Matrix Methods In Demography And Ecology written by Hal Caswell and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-02 with Social Science categories.
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.
The Evolutionary Ecology Of Plant Disease
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Author : Gregory Gilbert
language : en
Publisher: Oxford University Press
Release Date : 2023-06-19
The Evolutionary Ecology Of Plant Disease written by Gregory Gilbert and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-19 with Science categories.
Understanding the symbiosis between plants and pathogenic microbes is at the core of effective disease management for crops and managed forests. At the same time, plant-pathogen interactions comprise a wonderfully diverse set of ecological relationships that are powerful and yet so commonplace that they often go unnoticed. Ecologists and evolutionary biologists are increasingly exploring the terrain of plant disease ecology, investigating topics such as how pathogens shape diversity in plant communities, how features of plant-microbe interactions including host range and mutualism/antagonism evolve, and how biological invasions, climate change, and other agents of global change can drive disease emergence. Traditional training in ecology and evolutionary biology seldom provides structured exposure to plant pathology or microbiology, and training in plant pathology rarely offers depth in the theoretical frameworks of evolutionary ecology or includes examples from complex wild ecosystems. This novel textbook seeks to unite the research communities of plant disease ecology and plant pathology by bridging this gap.
Trends In Biomathematics Exploring Epidemics Eco Epidemiological Systems And Optimal Control Strategies
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Author : Rubem P. Mondaini
language : en
Publisher: Springer Nature
Release Date : 2024-06-27
Trends In Biomathematics Exploring Epidemics Eco Epidemiological Systems And Optimal Control Strategies written by Rubem P. Mondaini and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-27 with Mathematics categories.
This volume convenes carefully selected, peer-reviewed papers presented at the BIOMAT 2023 International Symposium, which was virtually held on November 6-9, 2023, with an organization staff based in Rio de Janeiro, Brazil. In this volume, the reader will find studies on the epidemic model of the COVID-19 pandemic, aspects of risk-based testing and quarantine, as well as joint efforts in the search for the perfect vaccine. Additionally, the volume covers the influence of fear and the saturated fear cost in predator-prey dynamics, optimal control techniques applied to HPV infection and cervical cancer cells, generic epidemic models for disease propagation, discretized SIS model with no vertical transmission, dynamics of vibrio-phage interactions, and antibiotics treatment for septic arthritis. Comprehensive Reviews are also included on the applications of CHIRP ultrasound for the mathematical modeling of evaporation of nanodroplets and on Alternative Entropy Measures and their application in the studies of distributions of discrete probabilities of occurrence. These works aim to motivate Ph.D. students and new practitioners in the field of Biomathematics. Held every year since 2001, the BIOMAT International Symposium gathers together, in a single conference, researchers from Mathematics, Physics, Biology, and affine fields to foster the interdisciplinary exchange of results, ideas, and techniques, promoting truly international cooperation for problem discussion. BIOMAT volumes published from 2017 to 2022 are also available by Springer.
Mathematics Of Planet Earth
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Author : Hans G. Kaper
language : en
Publisher: Springer Nature
Release Date : 2019-11-01
Mathematics Of Planet Earth written by Hans G. Kaper and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-01 with Mathematics categories.
Since its inception in 2013, Mathematics of Planet Earth (MPE) focuses on mathematical issues arising in the study of our planet. Interested in the impact of human activities on the Earth’s system, this multidisciplinary field considers the planet not only as a physical system, but also as a system supporting life, a system organized by humans, and a system at risk. The articles collected in this volume demonstrate the breadth of techniques and tools from mathematics, statistics, and operations research used in MPE. Topics include climate modeling, the spread of infectious diseases, stability of ecosystems, ecosystem services, biodiversity, infrastructure restoration after an extreme event, urban environments, food security, and food safety. Demonstrating the mathematical sciences in action, this book presents real-world challenges for the mathematical sciences, highlighting applications to issues of current concern to society. Arranged into three topical sections (Geo- and Physical Sciences; Life Sciences, Ecology and Evolution; Socio-economics and Infrastructure), thirteen chapters address questions such as how to measure biodiversity, what mathematics can say about the sixth mass extinction, how to optimize the long-term human use of natural capital, and the impact of data on infrastructure management. The book also treats the subject of infectious diseases with new examples and presents an introduction to the mathematics of food systems and food security. Each chapter functions as an introduction that can be studied independently, offering source material for graduate student seminars and self-study. The range of featured research topics provides mathematical scientists with starting points for the study of our planet and the impact of human activities. At the same time, it offers application scientists a plethora of modern mathematical tools and techniques to address the various topics in practice. Including hundreds of references to the vast literature associated with each topic, this book serves as an inspiration for further research.