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Population Dynamics: Algebraic And Probabilistic Approach, Rozikov Utkir A


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Автор: Rozikov Utkir A
Название:  Population Dynamics: Algebraic And Probabilistic Approach
ISBN: 9789811211225
Издательство: World Scientific Publishing
Классификация:

ISBN-10: 9811211221
Обложка/Формат: Hardback
Страницы: 460
Вес: 0.78 кг.
Дата издания: 11.05.2020
Серия: Mathematics
Язык: English
Размер: 229 x 152 x 38
Читательская аудитория: Tertiary education (us: college)
Ключевые слова: Mathematical modelling, SCIENCE / Chaotic Behavior in Systems,SCIENCE / Life Sciences / Ecology,SCIENCE / Life Sciences / General
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Поставляется из: Англии
Описание:

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 readers in-depth understanding by giving a systematic review of the theory of population dynamics which has wide applications in biology, mathematics, medicine, and physics.




Probabilistic Models of Population Evolution

Автор: Pardoux
Название: Probabilistic Models of Population Evolution
ISBN: 3319303260 ISBN-13(EAN): 9783319303260
Издательство: Springer
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Цена: 4611.00 р.
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Описание: This expository book presents the mathematical description of evolutionary models of populations subject to interactions (e.g. competition) within the population. The author includes both models of finite populations, and limiting models as the size of the population tends to infinity. The size of the population is described as a random function of time and of the initial population (the ancestors at time 0). The genealogical tree of such a population is given. Most models imply that the population is bound to go extinct in finite time. It is explained when the interaction is strong enough so that the extinction time remains finite, when the ancestral population at time 0 goes to infinity. The material could be used for teaching stochastic processes, together with their applications.

?tienne Pardoux is Professor at Aix-Marseille University, working in the field of Stochastic Analysis, stochastic partial differential equations, and probabilistic models in evolutionary biology and population genetics. He obtained his PhD in 1975 at University of Paris-Sud.
Analytic and Probabilistic Approaches to Dynamics in Negativ

Автор: Sambusetti Andrea
Название: Analytic and Probabilistic Approaches to Dynamics in Negativ
ISBN: 3319048066 ISBN-13(EAN): 9783319048062
Издательство: Springer
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Цена: 12577.00 р.
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Описание: The work consists of two introductory courses, developing different points of view on the study of the asymptotic behaviour of the geodesic flow, namely: the probabilistic approach via martingales and mixing (by Stephane Le Borgne);

Fast Variables in Stochastic Population Dynamics

Автор: George William Albert Constable
Название: Fast Variables in Stochastic Population Dynamics
ISBN: 3319212176 ISBN-13(EAN): 9783319212173
Издательство: Springer
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Цена: 15372.00 р.
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Описание: In this thesis two variants of the fast variable elimination method are developed. They are intuitive, simple to implement and give results which are in very good agreement with those found from numerical simulations. The relative simplicity of the techniques makes them ideal for applying to problems featuring demographic stochasticity, for experts and non-experts alike. Within the context of mathematical modelling, fast variable elimination is one of the central tools with which one can simplify a multivariate problem. When used in the context of of deterministic systems, the theory is quite standard, but when stochastic effects are present, it becomes less straightforward to apply. While the introductory and background chapters form an excellent primer to the theory of stochastic population dynamics, the techniques developed can be applied to systems exhibiting a separation of timescales in a variety of fields including population genetics, ecology and epidemiology.

An Introduction to Mathematical Population Dynamics

Автор: Mimmo Iannelli; Andrea Pugliese
Название: An Introduction to Mathematical Population Dynamics
ISBN: 3319030256 ISBN-13(EAN): 9783319030258
Издательство: Springer
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Цена: 10480.00 р.
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Описание: This book is an introduction to mathematical biology for students with no experience in biology, but who have some mathematical background.

The Influence of Demographic Stochasticity on Population Dynamics

Автор: Tommaso Biancalani
Название: The Influence of Demographic Stochasticity on Population Dynamics
ISBN: 3319384287 ISBN-13(EAN): 9783319384283
Издательство: Springer
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Цена: 13059.00 р.
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Описание: The dynamics of population systems cannot be understood within the framework of ordinary differential equations, which assume that the number of interacting agents is infinite. This thesis is centered on two unsolved problems in population dynamics: the symmetry breaking observed in foraging populations and the robustness of spatial patterns.

Mathematical Population Dynamics and Epidemiology in Temporal and Spatio-Temporal Domains

Автор: Harkaran Singh, Joydip Dhar
Название: Mathematical Population Dynamics and Epidemiology in Temporal and Spatio-Temporal Domains
ISBN: 1771886714 ISBN-13(EAN): 9781771886710
Издательство: Taylor&Francis
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Цена: 18987.00 р.
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Описание: This new volume focuses on the study of population dynamics with special emphasis on the migration of populations in a heterogeneous patchy habitat, the human and animal population, and the spreading of epidemics, an important area of research in mathematical biology dealing with the survival of different species.

The basic approach to age-structured population dynamics /

Автор: Mimmo Iannelli, Fabio Milner
Название: The basic approach to age-structured population dynamics /
ISBN: 9402411453 ISBN-13(EAN): 9789402411454
Издательство: Springer
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Цена: 7826.00 р.
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Описание: 1 Why Age Structure? An Introduction.- 2 The Basic Linear Theory.- 3 Numerical Methods for the Linear Model.- 4 The Time-Dependent Case.- 5 Nonlinear Models.- 6 Stability of Equilibria.- 7 Numerical Methods for the Nonlinear Model.- 8 Global Behavior.- 9 Class-Age Structure for Epidemics.- 10 Epidemics and Demography.- A The Laplace Transform.- B Integral Equations Theory. References.

On Logical, Algebraic, and Probabilistic Aspects of Fuzzy Set Theory

Автор: Susanne Saminger-Platz; Radko Mesiar
Название: On Logical, Algebraic, and Probabilistic Aspects of Fuzzy Set Theory
ISBN: 3319288075 ISBN-13(EAN): 9783319288079
Издательство: Springer
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Цена: 18284.00 р.
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Описание: The book is a collection of contributionsby leading experts, developed around traditional themes discussed at the annualLinz Seminars on Fuzzy Set Theory.

Dynamical Approach to Random Matrix Theory

Автор: Erdos Laszlo
Название: Dynamical Approach to Random Matrix Theory
ISBN: 1470436485 ISBN-13(EAN): 9781470436483
Издательство: Mare Nostrum (Eurospan)
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Цена: 5392.00 р.
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Описание: This book is a concise and self-contained introduction of recent techniques to prove local spectral universality for large random matrices. Random matrix theory is a fast expanding research area, and this book mainly focuses on the methods that the authors participated in developing over the past few years. Many other interesting topics are not included, and neither are several new developments within the framework of these methods. The authors have chosen instead to present key concepts that they believe are the core of these methods and should be relevant for future applications. They keep technicalities to a minimum to make the book accessible to graduate students. With this in mind, they include in this book the basic notions and tools for high-dimensional analysis, such as large deviation, entropy, Dirichlet form, and the logarithmic Sobolev inequality.This manuscript has been developed and continuously improved over the last five years. The authors have taught this material in several regular graduate courses at Harvard, Munich, and Vienna, in addition to various summer schools and short courses.

Trends in Biomathematics: Mathematical Modeling for Health, Harvesting, and Population Dynamics

Автор: Rubem P. Mondaini
Название: Trends in Biomathematics: Mathematical Modeling for Health, Harvesting, and Population Dynamics
ISBN: 3030234320 ISBN-13(EAN): 9783030234324
Издательство: Springer
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Цена: 18167.00 р.
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Описание:

This volume offers a collection of carefully selected, peer-reviewed papers presented at the BIOMAT 2018 International Symposium, which was held at the University Hassan II, Morocco, from October 29th to November 2nd, 2018. The topics covered include applications of mathematical modeling in hepatitis B, HIV and Chikungunya infections; tumor cell dynamics; inflammatory processes; chemotherapeutic drug effects; and population dynamics. Also discussing the application of techniques like the generalized stochastic Milevsky-Promislov model, numerical simulations and convergence of discrete and continuous models, it is an invaluable resource on interdisciplinary research in mathematical biology for students, researchers, and professionals.
Held every year since 2001, the BIOMAT International Symposium gathers together, in a single conference, researchers from Mathematics, Physics, Biology, and affine fields to promote the interdisciplinary exchange of results, ideas and techniques, promoting truly international cooperation for problem discussion. The 2018 edition of BIOMAT International Symposium received contributions by authors from seventeen countries: Algeria, Brazil, Cameroon, Canada, Chad, Colombia, France, Germany, Hungary, Italy, Mali, Morocco, Nigeria, Poland, Portugal, Russia, and Senegal. Selected papers presented at the 2017 edition of this Symposium were also published by Springer, in the volume “Trends in Biomathematics: Modeling, Optimization and Computational Problems” (978-3-319-91091-8).
Age-Structured Population Dynamics in Demography and Epidemiology

Автор: Hisashi Inaba
Название: Age-Structured Population Dynamics in Demography and Epidemiology
ISBN: 9811001871 ISBN-13(EAN): 9789811001871
Издательство: Springer
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Цена: 19564.00 р.
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Описание: 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.

Stability and Oscillations in Delay Differential Equations of Population Dynamics

Автор: K. Gopalsamy
Название: Stability and Oscillations in Delay Differential Equations of Population Dynamics
ISBN: 0792315944 ISBN-13(EAN): 9780792315940
Издательство: Springer
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Цена: 18167.00 р.
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Описание: An overview of recent advances in the stability and oscillation of autonomous delay differential equations. Topics covered include linear and nonlinear delay and integrodifferential equations, which have potential applications in biological and physical dynamic processes.


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