Population Dynamics
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Population Dynamics
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Author : Naomi Cappuccino
language : en
Publisher: Elsevier
Release Date : 1995-09-01
Population Dynamics written by Naomi Cappuccino and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-09-01 with Science categories.
An understanding of the dynamics of populations is critically important to ecologists, evolutionary biologists, wildlife managers, foresters, and many other biologists. This edited treatise brings together the latest research on how populations fluctuate in size, the factors that drive these changes, and the theories explaining how populations are regulated. The book also includes specific chapters dealing with insects of economic importance.
Evolutionary Games And Population Dynamics
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Author : Josef Hofbauer
language : en
Publisher: Cambridge University Press
Release Date : 1998-05-28
Evolutionary Games And Population Dynamics written by Josef Hofbauer and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-05-28 with Mathematics categories.
Every form of behaviour is shaped by trial and error. Such stepwise adaptation can occur through individual learning or through natural selection, the basis of evolution. Since the work of Maynard Smith and others, it has been realised how game theory can model this process. Evolutionary game theory replaces the static solutions of classical game theory by a dynamical approach centred not on the concept of rational players but on the population dynamics of behavioural programmes. In this book the authors investigate the nonlinear dynamics of the self-regulation of social and economic behaviour, and of the closely related interactions between species in ecological communities. Replicator equations describe how successful strategies spread and thereby create new conditions which can alter the basis of their success, i.e. to enable us to understand the strategic and genetic foundations of the endless chronicle of invasions and extinctions which punctuate evolution. In short, evolutionary game theory describes when to escalate a conflict, how to elicit cooperation, why to expect a balance of the sexes, and how to understand natural selection in mathematical terms.
Analytical Population Dynamics
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Author : T. Royama
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Analytical Population Dynamics written by T. Royama 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 2012-12-06 with Science categories.
A knowledge of animal population dynamics is essential for the proper management of natural resources and the environment. This book, now available in paperback, develops basic concepts and a rigorous methodology for the analysis of animal population dynamics to identify the underlying mechanisms.
Population Dynamics In Variable Environments
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Author : Shripad Tuljapurkar
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Population Dynamics In Variable Environments written by Shripad Tuljapurkar 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 2013-04-17 with Science categories.
Demography relates observable facts about individuals to the dynamics of populations. If the dynamics are linear and do not change over time, the classical theory of Lotka (1907) and Leslie (1945) is the central tool of demography. This book addresses the situation when the assumption of constancy is dropped. In many practical situations, a population will display unpredictable variation over time in its vital rates, which must then be described in statistical terms. Most of this book is concerned with the theory of populations which are subject to random temporal changes in their vital rates, although other kinds of variation (e. g. , cyclical) are also dealt with. The central questions are: how does temporal variation work its way into a population's future, and how does it affect our interpretation of a population's past. The results here are directed at demographers of humans and at popula tion biologists. The uneven mathematical level is dictated by the material, but the book should be accessible to readers interested in population the ory. (Readers looking for background or prerequisites will find much of it in Hal Caswell's Matrix population models: construction, analysis, and in terpretation (Sinauer 1989) ). This book is in essence a progress report and is deliberately brief; I hope that it is not mystifying. I have not attempted to be complete about either the history or the subject, although most sig nificant results and methods are presented.
Population Dynamics Algebraic And Probabilistic Approach
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Author : Utkir A Rozikov
language : en
Publisher: World Scientific
Release Date : 2020-04-22
Population Dynamics Algebraic And Probabilistic Approach written by Utkir A Rozikov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-22 with Science categories.
A population is a summation of all the organisms of the same group or species, which live in a particular geographical area, and have the capability of interbreeding. The main mathematical problem for a given population is to carefully examine the evolution (time dependent dynamics) of the population. The mathematical methods used in the study of this problem are based on probability theory, stochastic processes, dynamical systems, nonlinear differential and difference equations, and (non-)associative algebras.A state of a population is a distribution of probabilities of the different types of organisms in every generation. Type partition is called differentiation (for example, sex differentiation which defines a bisexual population). This book systematically describes the recently developed theory of (bisexual) population, and mainly contains results obtained since 2010.The book presents algebraic and probabilistic approaches in the theory of population dynamics. It also includes several dynamical systems of biological models such as dynamics generated by Markov processes of cubic stochastic matrices; dynamics of sex-linked population; dynamical systems generated by a gonosomal evolution operator; dynamical system and an evolution algebra of mosquito population; and ocean ecosystems.The main aim of this book is to facilitate the reader's in-depth understanding by giving a systematic review of the theory of population dynamics which has wide applications in biology, mathematics, medicine, and physics.
An Introduction To Mathematical Population Dynamics
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Author : Mimmo Iannelli
language : en
Publisher: Springer
Release Date : 2015-01-23
An Introduction To Mathematical Population Dynamics written by Mimmo Iannelli and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-23 with Mathematics categories.
This book is an introduction to mathematical biology for students with no experience in biology, but who have some mathematical background. The work is focused on population dynamics and ecology, following a tradition that goes back to Lotka and Volterra, and includes a part devoted to the spread of infectious diseases, a field where mathematical modeling is extremely popular. These themes are used as the area where to understand different types of mathematical modeling and the possible meaning of qualitative agreement of modeling with data. The book also includes a collections of problems designed to approach more advanced questions. This material has been used in the courses at the University of Trento, directed at students in their fourth year of studies in Mathematics. It can also be used as a reference as it provides up-to-date developments in several areas.
Population Dynamics And Climate Change
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Author : José Miguel Guzmán
language : en
Publisher: UN
Release Date : 2009
Population Dynamics And Climate Change written by José Miguel Guzmán and has been published by UN this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Law categories.
This book broadens and deepens understanding of a wide range of population-climate change linkages. Incorporating population dynamics into research, policymaking and advocacy around climate change is critical for understanding trajectory of global greenhouse gas emissions, for developing and implementing adaptation plans and thus for global and national efforts to curtail this threat. The papers in this volume provide a substantive and methodological guide to the current state of knowledge on issues such as population growth and size and emissions; population vulnerability and adaptation linked to health, gender disparities and children; migration and urbanization; and the data and analytical needs for the next stages of policy-relevant research.
Analysis And Control Of Age Dependent Population Dynamics
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Author : S. Anita
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-10-31
Analysis And Control Of Age Dependent Population Dynamics written by S. Anita 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 2000-10-31 with Mathematics categories.
This volume is devoted to some of the most biologically significant control problems governed by continuous age-dependent population dynamics. It investigates the existence, uniqueness, positivity, and asymptotic behaviour of the solutions of the continuous age-structured models. Some comparison results are also established. In the optimal control problems the emphasis is on first order necessary conditions of optimality. These conditions allow the determination of the optimal control or the approximation of the optimal control problem. The exact controllability for some models with diffusion and internal control is also studied. These subjects are treated using new concepts and techniques of modern optimal control theory, such as Clarke's generalized gradient, Ekeland's variational principle, Hamilton-Jacobi equations, and Carleman estimates. A background in advanced calculus and partial differential equations is required. Audience: This work will be of interest to students in mathematics, biology, and engineering, and researchers in applied mathematics, control theory, and biology.
Population Dynamics
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Author : C. Y. Cyrus Chu
language : en
Publisher: Oxford University Press
Release Date : 1998-09-03
Population Dynamics written by C. Y. Cyrus Chu 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 1998-09-03 with Social Science categories.
Population Dynamics fills the gap between the classical supply-side population theory of Malthus and the modern demand-side theory of economic demography. In doing so, author Cyrus Chu investigates specifically the dynamic macro implications of various static micro family economic decisions. Holding the characteristic composition of the macro population to always be an aggregate result of some corresponding individual micro decision, Chu extends his research on the fertility-related decisions of families to an analysis of other economic determinations. Within this framework, Chu studies the income distribution, attitude composition, job structure, and aggregate savings and pensions of the population. While in some cases a micro-macro connection is easily established under regular behavioral assumptions, in several chapters Chu enlists the mathematical tool of branching processes to determine the connection. Offering a wealth of detail, this book provides a balanced discussion of background motivation, theoretical characterization, and empirical evidence in an effort to bring about a renewal in the economic approach to population dynamics. This welcome addition to the research and theory of economic demography will interest professional economists as well as professors and graduate students of economics.
Population Dynamics And Projection Methods
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Author : John Stillwell
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-02-15
Population Dynamics And Projection Methods written by John Stillwell 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 2011-02-15 with Social Science categories.
Although the human population growth rate of the world has been declining since peaking in the early 1960s, the populations of individual countries are changing at different rates. Population dynamics at national level are partly determined by levels of fertility and mortality, but the impact of international migration is playing an increasingly important role. Moreover, internal migration plays a major part in population change at the sub-national level. This fourth volume in the series “Understanding Population Trends and Processes” is a celebration of the work of Professor Philip Rees. It contains chapters by contributors who have collaborated with Phil Rees on research or consultancy projects or as postgraduate students. Several chapters demonstrate the technical nature of population projection modelling and simulation methods while others illustrate issues relating to data availability and estimation. This book demonstrates the application of theoretical and modelling methods and addresses key issues relating to contemporary demographic patterns and trends.