The Basic Approach To Age Structured Population Dynamics

Author : Mimmo Iannelli
Publisher : Springer
ISBN 13 : 9402411461
Total Pages : 350 pages
Book Rating : 4.61/5 ( download)

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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 350 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 : Mimmo Iannelli
Publisher : Giardini
ISBN 13 :
Total Pages : 196 pages
Book Rating : 4.05/5 ( download)

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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 : Hisashi Inaba
Publisher : Springer
ISBN 13 : 981100188X
Total Pages : 555 pages
Book Rating : 4.88/5 ( download)

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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 555 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 : Shripad Tuljapurkar
Publisher : Springer Science & Business Media
ISBN 13 : 9780412072710
Total Pages : 660 pages
Book Rating : 4.18/5 ( download)

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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 1997-01-31 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing many examples of how models can be implemented and interpreted, this book describes the biology of the life cycle and follows the transitions of individuals through stages in the life cycle. The focus is on models as tools.

Author : Utkir A Rozikov
Publisher : World Scientific
ISBN 13 : 9811211248
Total Pages : 458 pages
Book Rating : 4.49/5 ( download)

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Download or read book Population Dynamics: Algebraic And Probabilistic Approach written by Utkir A Rozikov and published by World Scientific. This book was released on 2020-04-22 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Paula Cerejeiras
Publisher : Springer Nature
ISBN 13 : 3030875024
Total Pages : 663 pages
Book Rating : 4.22/5 ( download)

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Download or read book Current Trends in Analysis, its Applications and Computation written by Paula Cerejeiras and published by Springer Nature. This book was released on 2022-10-03 with total page 663 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the contributions of the participants of the 12th ISAAC congress which was held at the University of Aveiro, Portugal, from July 29 to August 3, 2019. These contributions originate from the following sessions: Applications of dynamical systems theory in biology, Complex Analysis and Partial Differential Equations, Complex Geometry, Complex Variables and Potential Theory, Constructive Methods in the Theory of Composite and Porous Media, Function Spaces and Applications, Generalized Functions and Applications, Geometric & Regularity Properties of Solutions to Elliptic and Parabolic PDEs, Geometries Defined by Differential Forms, Partial Differential Equations on Curved Spacetimes, Partial Differential Equations with Nonstandard Growth, Quaternionic and Clifford Analysis, Recent Progress in Evolution Equations, Wavelet theory and its Related Topics.

Author : M. Iannelli
Publisher : SIAM
ISBN 13 : 0898715776
Total Pages : 186 pages
Book Rating : 4.74/5 ( download)

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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 : Johan A. Metz
Publisher : Springer
ISBN 13 : 3662131595
Total Pages : 526 pages
Book Rating : 4.96/5 ( download)

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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 : C. Y. Cyrus Chu
Publisher : Oxford University Press
ISBN 13 : 0195352882
Total Pages : 241 pages
Book Rating : 4.87/5 ( download)

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Download or read book Population Dynamics written by C. Y. Cyrus Chu and published by Oxford University Press. This book was released on 1998-09-03 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Nicolas Bacaër
Publisher : Springer Science & Business Media
ISBN 13 : 0857291157
Total Pages : 160 pages
Book Rating : 4.58/5 ( download)

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Download or read book A Short History of Mathematical Population Dynamics written by Nicolas Bacaër and published by Springer Science & Business Media. This book was released on 2011-02-01 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: As Eugene Wigner stressed, mathematics has proven unreasonably effective in the physical sciences and their technological applications. The role of mathematics in the biological, medical and social sciences has been much more modest but has recently grown thanks to the simulation capacity offered by modern computers. This book traces the history of population dynamics---a theoretical subject closely connected to genetics, ecology, epidemiology and demography---where mathematics has brought significant insights. It presents an overview of the genesis of several important themes: exponential growth, from Euler and Malthus to the Chinese one-child policy; the development of stochastic models, from Mendel's laws and the question of extinction of family names to percolation theory for the spread of epidemics, and chaotic populations, where determinism and randomness intertwine. The reader of this book will see, from a different perspective, the problems that scientists face when governments ask for reliable predictions to help control epidemics (AIDS, SARS, swine flu), manage renewable resources (fishing quotas, spread of genetically modified organisms) or anticipate demographic evolutions such as aging.