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Author : Maruful Chowdhury
Publisher :
ISBN 13 :
Total Pages : 46 pages
Book Rating : 4.:/5 (398 download)
Download or read book A Stochastic Age-structured Population Model written by Maruful Chowdhury and published by . This book was released on 1998 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Shripad Tuljapurkar
Publisher : Springer Science & Business Media
ISBN 13 : 1461559731
Total Pages : 644 pages
Book Rating : 4.4/5 (615 download)
Download or read book Structured-Population Models in Marine, Terrestrial, and Freshwater Systems written by Shripad Tuljapurkar and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the summer of 1993, twenty-six graduate and postdoctoral stu dents and fourteen lecturers converged on Cornell University for a summer school devoted to structured-population models. This school was one of a series to address concepts cutting across the traditional boundaries separating terrestrial, marine, and freshwa ter ecology. Earlier schools resulted in the books Patch Dynamics (S. A. Levin, T. M. Powell & J. H. Steele, eds., Springer-Verlag, Berlin, 1993) and Ecological Time Series (T. M. Powell & J. H. Steele, eds., Chapman and Hall, New York, 1995); a book on food webs is in preparation. Models of population structure (differences among individuals due to age, size, developmental stage, spatial location, or genotype) have an important place in studies of all three kinds of ecosystem. In choosing the participants and lecturers for the school, we se lected for diversity-biologists who knew some mathematics and mathematicians who knew some biology, field biologists sobered by encounters with messy data and theoreticians intoxicated by the elegance of the underlying mathematics, people concerned with long-term evolutionary problems and people concerned with the acute crises of conservation biology. For four weeks, these perspec tives swirled in discussions that started in the lecture hall and carried on into the sweltering Ithaca night. Diversity mayor may not increase stability, but it surely makes things interesting.
Author : Hisashi Inaba
Publisher : Springer
ISBN 13 : 981100188X
Total Pages : 566 pages
Book Rating : 4.8/5 (11 download)
Download or read book Age-Structured Population Dynamics in Demography and Epidemiology written by Hisashi Inaba and published by Springer. This book was released on 2017-03-15 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first one in which basic demographic models are rigorously formulated by using modern age-structured population dynamics, extended to study real-world population problems. Age structure is a crucial factor in understanding population phenomena, and the essential ideas in demography and epidemiology cannot be understood without mathematical formulation; therefore, this book gives readers a robust mathematical introduction to human population studies. In the first part of the volume, classical demographic models such as the stable population model and its linear extensions, density-dependent nonlinear models, and pair-formation models are formulated by the McKendrick partial differential equation and are analyzed from a dynamical system point of view. In the second part, mathematical models for infectious diseases spreading at the population level are examined by using nonlinear differential equations and a renewal equation. Since an epidemic can be seen as a nonlinear renewal process of an infected population, this book will provide a natural unification point of view for demography and epidemiology. The well-known epidemic threshold principle is formulated by the basic reproduction number, which is also a most important key index in demography. The author develops a universal theory of the basic reproduction number in heterogeneous environments. By introducing the host age structure, epidemic models are developed into more realistic demographic formulations, which are essentially needed to attack urgent epidemiological control problems in the real world.
Author : Ryo Oizumi
Publisher : Springer Nature
ISBN 13 : 9811935483
Total Pages : 107 pages
Book Rating : 4.8/5 (119 download)
Download or read book Population Dynamics Based on Individual Stochasticity written by Ryo Oizumi and published by Springer Nature. This book was released on 2022-09-17 with total page 107 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book demonstrates that population structure and dynamics can be reconstructed by stochastic analysis. Population projection is usually based on age-structured population models. These models consist of age-dependent fertility and mortality, whereas birth and death processes generally arise from states of individuals. For example, a number of seeds are proportional to tree size, and amount of income and savings are the basis of decision making for birth behavior in human beings. Thus, even though individuals belong to an identical cohort, they have different fertility and mortality. To treat this kind of individual heterogeneity, stochastic state transitions are reasonable rather than the deterministic states. This book extends deterministic systems to stochastic systems specifically, constructing a state transition model represented by stochastic differential equations. The diffusion process generated by stochastic differential equations provides statistics determining population dynamics, i.e., heterogeneity is incorporated in population dynamics as its statistics. Applying this perspective to demography and evolutionary biology, we can consider the role of heterogeneity in life history or evolution. These concepts are provided to readers with explanations of stochastic analysis.
Author : Raouf Boucekkine
Publisher : Routledge
ISBN 13 : 1136920927
Total Pages : 277 pages
Book Rating : 4.1/5 (369 download)
Download or read book Optimal Control of Age-structured Populations in Economy, Demography, and the Environment written by Raouf Boucekkine and published by Routledge. This book was released on 2013-05-13 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers a wide range of topics within mathematical modelling and the optimization of economic, demographic, technological and environmental phenomena. Each chapter is written by experts in their field and represents new advances in modelling theory and practice. These essays are exemplary of the fruitful interaction between theory and practice when exploring global and local changes. The unifying theme of the book is the use of mathematical models and optimization methods to describe age-structured populations in economy, demography, technological change, and the environment. Emphasis is placed on deterministic dynamic models that take age or size structures, delay effects, and non-standard decision variables into account. In addition, the contributions deal with the age structure of assets, resources, and populations under study. Interdisciplinary modelling has enormous potential for discovering new insights in global and regional development. Optimal Control of Age-structured Populations in Economy, Demography, and the Environment is a rich and excellent source of information on state-of-the-art modelling expertise and references. The book provides the necessary mathematical background for readers from different areas, such as applied sciences, management sciences and operations research, which helps guide the development of practical models. As well as this the book also surveys the current practice in applied modelling and looks at new research areas for a general mathematical audience. This book will be of interest primarily to researchers, postgraduate students, as well as a wider scientific community, including those focussing on the subjects of applied mathematics, environmental sciences, economics, demography, management, and operations research.
Author : Mimmo Iannelli
Publisher : Springer
ISBN 13 : 9402411461
Total Pages : 357 pages
Book Rating : 4.4/5 (24 download)
Download or read book The Basic Approach to Age-Structured Population Dynamics written by Mimmo Iannelli and published by Springer. This book was released on 2017-08-27 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to age-structured population modeling which emphasizes the connection between mathematical theory and underlying biological assumptions. Through the rigorous development of the linear theory and the nonlinear theory alongside numerics, the authors explore classical equations that describe the dynamics of certain ecological systems. Modeling aspects are discussed to show how relevant problems in the fields of demography, ecology and epidemiology can be formulated and treated within the theory. In particular, the book presents extensions of age-structured modeling to the spread of diseases and epidemics while also addressing the issue of regularity of solutions, the asymptotic behavior of solutions, and numerical approximation. With sections on transmission models, non-autonomous models and global dynamics, this book fills a gap in the literature on theoretical population dynamics. The Basic Approach to Age-Structured Population Dynamics will appeal to graduate students and researchers in mathematical biology, epidemiology and demography who are interested in the systematic presentation of relevant models and mathematical methods.
Author : J. M. Cushing
Publisher : SIAM
ISBN 13 : 0898714176
Total Pages : 204 pages
Book Rating : 4.8/5 (987 download)
Download or read book An Introduction to Structured Population Dynamics written by J. M. Cushing and published by SIAM. This book was released on 1998-01-01 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph introduces the theory of structured population dynamics and its applications, focusing on the asymptotic dynamics of deterministic models.
Author : LR. Ginzburg
Publisher :
ISBN 13 :
Total Pages : 15 pages
Book Rating : 4.:/5 (125 download)
Download or read book Ecological Risk Assessment Based on Stochastic Age-Structured Models of Population Growth written by LR. Ginzburg and published by . This book was released on 1984 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: A method is developed to evaluate the risk of a population crossing a preassigned critical level in a given period of time. The method is based on the stochastic age-structured model of population dynamics. The two-step process is suggested. The first step constructs the "effective" one-dimensional model with the autocorrelated noise term reflecting the underlying multidimensional process. The second step solves the first passage time problem in a one-dimensional context.
Author : Russell Lande
Publisher : OUP Oxford
ISBN 13 : 9780198525257
Total Pages : 698 pages
Book Rating : 4.5/5 (252 download)
Download or read book Stochastic Population Dynamics in Ecology and Conservation written by Russell Lande and published by OUP Oxford. This book was released on 2003 with total page 698 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. Demographic and environmental stochasticity -- 2. Extinction dynamics -- 3. Age structure -- 4. Spatial structure -- 5. Population viability analysis -- 6. Sustainable harvesting -- 7. Species diversity -- 8. Community dynamics.
Author : M. Iannelli
Publisher : SIAM
ISBN 13 : 0898715776
Total Pages : 186 pages
Book Rating : 4.8/5 (987 download)
Download or read book Gender-structured Population Modeling written by M. Iannelli and published by SIAM. This book was released on 2005-04-01 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a unified presentation of, and mathematical framework for, modeling population growth by couple formation, summarizing both past and present modeling results. It provides results on model analysis, gives an up-to-date review of mathematical demography, discusses numerical methods, and puts deterministic modeling of human populations into historical perspective.
Author : Mimmo Iannelli
Publisher : Giardini
ISBN 13 :
Total Pages : 196 pages
Book Rating : 4.4/5 (688 download)
Download or read book Mathematical Theory of Age-structured Population Dynamics written by Mimmo Iannelli and published by Giardini. This book was released on 1995 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Garry L. Block
Publisher :
ISBN 13 :
Total Pages : 134 pages
Book Rating : 4.:/5 (412 download)
Download or read book Deterministic and Stochastic Nonlinear Age-structured Models written by Garry L. Block and published by . This book was released on 1998 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kiyomi Otsuka Kaskela
Publisher :
ISBN 13 :
Total Pages : 94 pages
Book Rating : 4.:/5 (577 download)
Download or read book Stochastic Stage-structured Population Model written by Kiyomi Otsuka Kaskela and published by . This book was released on 2004 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Johan A. Metz
Publisher : Springer
ISBN 13 : 3662131595
Total Pages : 526 pages
Book Rating : 4.6/5 (621 download)
Download or read book The Dynamics of Physiologically Structured Populations written by Johan A. Metz and published by Springer. This book was released on 2014-03-11 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Bo Ebenman
Publisher : Springer Science & Business Media
ISBN 13 : 3642740014
Total Pages : 288 pages
Book Rating : 4.6/5 (427 download)
Download or read book Size-Structured Populations written by Bo Ebenman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: At last both ecology and evolution are covered in this study on the dynamics of size-structured populations. How does natural selection shape growth patterns and life cycles of individuals, and hence the size-structure of populations? This book will stimulate biologists to look into some important and interesting biological problems from a new angle of approach, concerning: - life history evolution, - intraspecific competition and niche theory, - structure and dynamics of ecological communities.
Author : Min Gao
Publisher :
ISBN 13 :
Total Pages : 66 pages
Book Rating : 4.:/5 (915 download)
Download or read book Age-structured Population Models with Applications written by Min Gao and published by . This book was released on 2015 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Peter H. Baxendale
Publisher : World Scientific
ISBN 13 : 9812706623
Total Pages : 416 pages
Book Rating : 4.8/5 (127 download)
Download or read book Stochastic Differential Equations written by Peter H. Baxendale and published by World Scientific. This book was released on 2007 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first paper in the volume, Stochastic Evolution Equations by N V Krylov and B L Rozovskii, was originally published in Russian in 1979. After more than a quarter-century, this paper remains a standard reference in the field of stochastic partial differential equations (SPDEs) and continues to attract attention of mathematicians of all generations, because, together with a short but thorough introduction to SPDEs, it presents a number of optimal and essentially non-improvable results about solvability for a large class of both linear and non-linear equations.
