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Differential Equations and Population Dynamics I, Ducrot


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Цена: 6986.00р.
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Автор: Ducrot
Название:  Differential Equations and Population Dynamics I
ISBN: 9783030981358
Издательство: Springer
Классификация:




ISBN-10: 3030981355
Обложка/Формат: Soft cover
Страницы: 458
Вес: 0.73 кг.
Дата издания: 05.07.2022
Серия: Lecture Notes on Mathematical Modelling in the Life Sciences
Язык: English
Издание: 1st ed. 2022
Иллюстрации: 119 illustrations, color; 12 illustrations, black and white; x, 928 p. 131 illus., 119 illus. in color.
Размер: 233 x 159 x 31
Читательская аудитория: Professional & vocational
Основная тема: Mathematics
Подзаголовок: Introductory Approaches
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book provides an introduction to the theory of ordinary differential equations and its applications to population dynamics. Part I focuses on linear systems. Beginning with some modeling background, it considers existence, uniqueness, stability of solution, positivity, and the Perron–Frobenius theorem and its consequences. Part II is devoted to nonlinear systems, with material on the semiflow property, positivity, the existence of invariant sub-regions, the Linearized Stability Principle, the Hartman–Grobman Theorem, and monotone semiflow. Part III opens up new perspectives for the understanding of infectious diseases by applying the theoretical results to COVID-19, combining data and epidemic models. Throughout the book the material is illustrated by numerical examples and their MATLAB codes are provided. Bridging an interdisciplinary gap, the book will be valuable to graduate and advanced undergraduate students studying mathematics and population dynamics.
Дополнительное описание: Part I Linear Differential and Difference Equations: 1 Introduction to Linear Population Dynamics.- 2 Existence and Uniqueness of Solutions.- 3 Stability and Instability of Linear.- 4 Positivity and Perron-Frobenius's Theorem.- Part II Non-Linear Differen



Numerical solution of differential equations

Автор: li zhilin
Название: Numerical solution of differential equations
ISBN: 1107163226 ISBN-13(EAN): 9781107163225
Издательство: Cambridge Academ
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Цена: 13464.00 р.
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Описание: This practical and concise guide to finite difference and finite element methods is aimed at graduate students who need to solve differential equations. With few prerequisites, the book is accessible to readers from a range of disciplines across science and engineering. Well-tested MATLAB (R) codes are available online.

Stochastic Differential Equations

Автор: Oksendal
Название: Stochastic Differential Equations
ISBN: 3540047581 ISBN-13(EAN): 9783540047582
Издательство: Springer
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Цена: 8223.00 р.
Наличие на складе: Есть (1 шт.)
Описание: Gives an introduction to the basic theory of stochastic calculus and its applications. This book offers examples in order to motivate and illustrate the theory and show its importance for many applications in for example economics, biology and physics.

Partial Differential Equations

Автор: R. M. M. Mattheij
Название: Partial Differential Equations
ISBN: 0898715946 ISBN-13(EAN): 9780898715941
Издательство: Mare Nostrum (Eurospan)
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Цена: 21318.00 р.
Наличие на складе: Нет в наличии.

Описание: Partial differential equations (PDEs) are used to describe a large variety of physical phenomena, from fluid flow to electromagnetic fields, and are indispensable to such disparate fields as aircraft simulation and computer graphics. While most existing texts on PDEs deal with either analytical or numerical aspects of PDEs, this innovative and comprehensive textbook features a unique approach that integrates analysis and numerical solution methods and includes a third component - modeling - to address real-life problems. The authors believe that modeling can be learned only by doing; hence a separate chapter containing 16 user-friendly case studies of elliptic, parabolic, and hyperbolic equations is included and numerous exercises are included in all other chapters.

Reversibility in Dynamics and Group Theory

Автор: O`Farrell
Название: Reversibility in Dynamics and Group Theory
ISBN: 1107442885 ISBN-13(EAN): 9781107442887
Издательство: Cambridge Academ
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Цена: 8554.00 р.
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Описание: The powerful and far-reaching concept of reversibility is treated for the first time in book form. The authors establish basic principles of reversibility and demonstrate its impact in group theory, geometry, complex analysis and number theory, while describing open research problems throughout. Accessible at the advanced undergraduate level and above.

Stochastic PDEs and Dynamics

Автор: Boling Guo, Hongjun Gao, Xueke Pu
Название: Stochastic PDEs and Dynamics
ISBN: 3110495104 ISBN-13(EAN): 9783110495102
Издательство: Walter de Gruyter
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Цена: 18586.00 р.
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Описание: This book explains mathematical theories of a collection of stochastic partial differential equations and their dynamical behaviors. Based on probability and stochastic process, the authors discuss stochastic integrals, Ito formula and Ornstein-Uhlenbeck processes, and introduce theoretical framework for random attractors. With rigorous mathematical deduction, the book is an essential reference to mathematicians and physicists in nonlinear science. Contents: PreliminariesThe stochastic integral and It formulaOU processes and SDEsRandom attractorsApplicationsBibliographyIndex

Periodic Solutions of First-Order Functional Differential Equations in Population Dynamics

Автор: Seshadev Padhi; John R. Graef; P. D. N. Srinivasu
Название: Periodic Solutions of First-Order Functional Differential Equations in Population Dynamics
ISBN: 8132218949 ISBN-13(EAN): 9788132218944
Издательство: Springer
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Цена: 12577.00 р.
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Описание: Periodic Solutions of First-Order Functional Differential Equations in Population Dynamics

Periodic Solutions of First-Order Functional Differential Equations in Population Dynamics

Автор: Seshadev Padhi; John R. Graef; P. D. N. Srinivasu
Название: Periodic Solutions of First-Order Functional Differential Equations in Population Dynamics
ISBN: 8132235428 ISBN-13(EAN): 9788132235422
Издательство: Springer
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Цена: 13275.00 р.
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Описание: Chapter 1. Introduction.- Chapter 2. Positive Periodic Solutions of Nonlinear Functional Differential Equations with Parameter λ.- Chapter 3. Multiple Periodic Solutions of a System of Functional Differential Equations.- Chapter 4. Multiple Periodic Solutions of Nonlinear Functional Differential Equations.- Chapter 5. Asymptotic Behavior of Periodic Solutions of Differential Equations of First Order.- Bibliography.

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.

Partial differential equations and boundary value problems with Mathematica /

Автор: Kythe, Prem K.
Название: Partial differential equations and boundary value problems with Mathematica /
ISBN: 1584883146 ISBN-13(EAN): 9781584883142
Издательство: Taylor&Francis
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Цена: 22202.00 р.
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Описание: Incorporates the fourth version of the software package Mathematica (4.x). This title includes a section of Mathematica projects in each chapter, a chapter on Green`s functions, a chapter on boundary value problems, and material on inverse operators, Legendre functions, and Bessel functions.

Transmutations, Singular And Fractional Differential Equations With Applications To Mathematical Physics

Автор: Sitnik, Sergei Michailovi
Название: Transmutations, Singular And Fractional Differential Equations With Applications To Mathematical Physics
ISBN: 0128197811 ISBN-13(EAN): 9780128197813
Издательство: Elsevier Science
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Цена: 23075.00 р.
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Описание:

Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics connects difficult problems with similar more simple ones. The book's strategy works for differential and integral equations and systems and for many theoretical and applied problems in mathematics, mathematical physics, probability and statistics, applied computer science and numerical methods. In addition to being exposed to recent advances, readers learn to use transmutation methods not only as practical tools, but also as vehicles that deliver theoretical insights.

Nonlinear Dynamics: Mathematical Models for Rigid Bodies with a Liquid

Автор: Ivan A. Lukovsky
Название: Nonlinear Dynamics: Mathematical Models for Rigid Bodies with a Liquid
ISBN: 3110316552 ISBN-13(EAN): 9783110316551
Издательство: Walter de Gruyter
Цена: 27884.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This book is devoted to analytically approximate methods in the nonlinear dynamics of a rigid body with cavities (containers) partly filled by a liquid. The methods are normally based on the Bateman-Luke variational formalism combined with perturbation theory. The derived approximate equations of spatial motions of the body-liquid mechanical system (these equations are called mathematical models in the title) take the form of a finite-dimensional system of nonlinear ordinary differential equations coupling quasi-velocities of the rigid body motions and generalized coordinates responsible for displacements of the natural sloshing modes. Algorithms for computing the hydrodynamic coefficients in the approximate mathematical models are proposed. Numerical values of these coefficients are listed for some tank shapes and liquid fillings. The mathematical models are also derived for the contained liquid characterized by the Newton-type dissipation. Formulas for hydrodynamic force and moment are derived in terms of the solid body quasi-velocities and the sloshing-related generalized coordinates. For prescribed harmonic excitations of upright circular (annular) cylindrical and/or conical tanks, the steady-state sloshing regimes are theoretically classified; the results are compared with known experimental data. The book can be useful for both experienced and early-stage mechanicians, applied mathematicians and engineers interested in (semi-)analytical approaches to the “fluid-structure” interaction problems, their fundamental mathematical background as well as in modeling the dynamics of complex mechanical systems containing a rigid tank partly filled by a liquid.

Geometry, Topology, and Dynamics in Negative Curvature

Автор: Aravinda
Название: Geometry, Topology, and Dynamics in Negative Curvature
ISBN: 110752900X ISBN-13(EAN): 9781107529007
Издательство: Cambridge Academ
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Цена: 11405.00 р.
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Описание: Negative curvature arises in several mathematical areas, including geometry, topology, dynamics, and number theory. This volume contains survey articles around this common theme, which should help mathematicians interested in transitioning between these areas, as well as graduate students entering this interdisciplinary subject.


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