Global Dynamical Properties Of Lotka Volterra Systems

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Global Dynamical Properties of Lotka-Volterra Systems

Author : Y. Takeuchi
Publisher : World Scientific
ISBN 13 : 9789810224714
Total Pages : 324 pages
Book Rating : 4.2/5 (247 download)

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Book Synopsis Global Dynamical Properties of Lotka-Volterra Systems by : Y. Takeuchi

Download or read book Global Dynamical Properties of Lotka-Volterra Systems written by Y. Takeuchi and published by World Scientific. This book was released on 1996 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical ecology is a subject which recently attracts attentions of many mathematicians and biologists. One of the most important and fundamental mathematical models in ecology is of Lotka-Volterra type. This book gives global dynamical properties of L-V systems. The properties analyzed are global stability of the equilibria, persistence or permanence of the systems (which ensures the survival of all the biological-species composed of the systems for the long term) and the existence of periodic or chaotic solutions. The special subject of this book is to consider the effects of the systems structure, diffusion of the biological species and time delay on the global dynamical properties of the systems.

Global Dynamical Properties Of Lotka-volterra Systems

Author : Yasuhiro Takeuchi
Publisher : World Scientific
ISBN 13 : 9814499633
Total Pages : 316 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Global Dynamical Properties Of Lotka-volterra Systems by : Yasuhiro Takeuchi

Download or read book Global Dynamical Properties Of Lotka-volterra Systems written by Yasuhiro Takeuchi and published by World Scientific. This book was released on 1996-04-13 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical ecology is a subject which recently attracts attentions of many mathematicians and biologists. One of the most important and fundamental mathematical models in ecology is of Lotka-Volterra type. This book gives global dynamical properties of L-V systems. The properties analyzed are global stability of the equilibria, persistence or permanence of the systems (which ensures the survival of all the biological-species composed of the systems for the long term) and the existence of periodic or chaotic solutions. The special subject of this book is to consider the effects of the systems structure, diffusion of the biological species and time delay on the global dynamical properties of the systems.

Lotka-Volterra and Related Systems

Author : Shair Ahmad
Publisher : Walter de Gruyter
ISBN 13 : 3110269848
Total Pages : 244 pages
Book Rating : 4.1/5 (12 download)

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Book Synopsis Lotka-Volterra and Related Systems by : Shair Ahmad

Download or read book Lotka-Volterra and Related Systems written by Shair Ahmad and published by Walter de Gruyter. This book was released on 2013-05-28 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, there has been a tremendous amount of research activity in the general area of population dynamics, particularly the Lotka-Volterra system, which has been a rich source of mathematical ideas from both theoretical and application points of view. In spite of the technological advances, many authors seem to be unaware of the bulk of the work that has been done in this area recently. This often leads to duplication of work and frustration to the authors as well as to the editors of various journals. This book is built out of lecture notes and consists of three chapters written by four mathematicians with overlapping expertise that cover a broad sector of the research in this area. Each chapter consists of carefully written introductory exposition, main breakthroughs, open questions and bibliographies. The chapters present recent developments on topics involving the dynamic behavior of solutions and topics such as stability theory, permanence, persistence, extinction, existence of positive solutions for the Lotka-Volterra and related systems. This fills a void in the literature, by making available a source book of relevant information on the theory, methods and applications of an important area of research.

Dynamical Systems and Their Applications in Biology

Author : Shigui Ruan
Publisher : American Mathematical Soc.
ISBN 13 : 9780821871423
Total Pages : 282 pages
Book Rating : 4.8/5 (714 download)

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Book Synopsis Dynamical Systems and Their Applications in Biology by : Shigui Ruan

Download or read book Dynamical Systems and Their Applications in Biology written by Shigui Ruan and published by American Mathematical Soc.. This book was released on 2003-01-01 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is based on the proceedings of the International Workshop on Dynamical Systems and their Applications in Biology held at the Canadian Coast Guard College on Cape Breton Island (Nova Scotia, Canada). It presents a broad picture of the current research surrounding applications of dynamical systems in biology, particularly in population biology. The book contains 19 papers and includes articles on the qualitative and/or numerical analysis of models involving ordinary, partial, functional, and stochastic differential equations. Applications include epidemiology, population dynamics, and physiology. The material is suitable for graduate students and research mathematicians interested in ordinary differential equations and their applications in biology. Also available by Ruan, Wolkowicz, and Wu is Differential Equations with Applications to Biology, Volume 21 in the AMS series Fields Institute Communications.

Dynamical And Complex Systems

Author : Shaun Bullett
Publisher : World Scientific
ISBN 13 : 1786341050
Total Pages : 228 pages
Book Rating : 4.7/5 (863 download)

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Book Synopsis Dynamical And Complex Systems by : Shaun Bullett

Download or read book Dynamical And Complex Systems written by Shaun Bullett and published by World Scientific. This book was released on 2016-12-22 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book leads readers from a basic foundation to an advanced level understanding of dynamical and complex systems. It is the perfect text for graduate or PhD mathematical-science students looking for support in topics such as applied dynamical systems, Lotka-Volterra dynamical systems, applied dynamical systems theory, dynamical systems in cosmology, aperiodic order, and complex systems dynamics.Dynamical and Complex Systems is the fifth volume of the LTCC Advanced Mathematics Series. This series is the first to provide advanced introductions to mathematical science topics to advanced students of mathematics. Edited by the three joint heads of the London Taught Course Centre for PhD Students in the Mathematical Sciences (LTCC), each book supports readers in broadening their mathematical knowledge outside of their immediate research disciplines while also covering specialized key areas.

Mathematics for Ecology and Environmental Sciences

Author : Yasuhiro Takeuchi
Publisher : Springer Science & Business Media
ISBN 13 : 3540344284
Total Pages : 189 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Mathematics for Ecology and Environmental Sciences by : Yasuhiro Takeuchi

Download or read book Mathematics for Ecology and Environmental Sciences written by Yasuhiro Takeuchi and published by Springer Science & Business Media. This book was released on 2007-01-19 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume discusses the rich and interesting properties of dynamical systems that appear in ecology and environmental sciences. It provides a fascinating survey of the theory of dynamical systems in ecology and environmental science. Each chapter introduces students and scholars to the state-of-the-art in an exciting area, presents new results, and inspires future contributions to mathematical modeling in ecology and environmental sciences.

Fractal Control and Its Applications

Author : Shu Tang Liu
Publisher : Springer Nature
ISBN 13 : 9811554595
Total Pages : 364 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Fractal Control and Its Applications by : Shu Tang Liu

Download or read book Fractal Control and Its Applications written by Shu Tang Liu and published by Springer Nature. This book was released on 2020-07-11 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book focuses on fractal control and applications in various fields. Fractal phenomena occur in nonlinear models, and since the behaviors depicted by fractals need to be controlled in practical applications, an understanding of fractal control is necessary. This book introduces readers to Julia set fractals and Mandelbrot set fractals in a range of models, such as physical systems, biological systems and SIRS models, and discusses controllers designed to control these fractals. Further, it demonstrates how the fractal dimension can be calculated in order to describe the complexity of various systems.Offering a comprehensive and systematic overview of the practical issues in fractal control, this book is a valuable resource for readers interested in practical solutions in fractal control. It will also appeal to researchers, engineers, and graduate students in fields of fractal control and applications, as well as chaos control and applications.

Almost Periodic Solutions of Impulsive Differential Equations

Author : Gani T. Stamov
Publisher : Springer Science & Business Media
ISBN 13 : 3642275451
Total Pages : 235 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Almost Periodic Solutions of Impulsive Differential Equations by : Gani T. Stamov

Download or read book Almost Periodic Solutions of Impulsive Differential Equations written by Gani T. Stamov and published by Springer Science & Business Media. This book was released on 2012-03-09 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the present book a systematic exposition of the results related to almost periodic solutions of impulsive differential equations is given and the potential for their application is illustrated.

Advances in Neural Networks - ISNN 2007

Author : Derong Liu
Publisher : Springer
ISBN 13 : 3540723838
Total Pages : 1390 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Advances in Neural Networks - ISNN 2007 by : Derong Liu

Download or read book Advances in Neural Networks - ISNN 2007 written by Derong Liu and published by Springer. This book was released on 2007-07-14 with total page 1390 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is part of a three volume set that constitutes the refereed proceedings of the 4th International Symposium on Neural Networks, ISNN 2007, held in Nanjing, China in June 2007. Coverage includes neural networks for control applications, robotics, data mining and feature extraction, chaos and synchronization, support vector machines, fault diagnosis/detection, image/video processing, and applications of neural networks.

Complexity, Analysis and Control of Singular Biological Systems

Author : Qingling Zhang
Publisher : Springer Science & Business Media
ISBN 13 : 1447123026
Total Pages : 237 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Complexity, Analysis and Control of Singular Biological Systems by : Qingling Zhang

Download or read book Complexity, Analysis and Control of Singular Biological Systems written by Qingling Zhang and published by Springer Science & Business Media. This book was released on 2012-02-18 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complexity, Analysis and Control of Singular Biological Systems follows the control of real-world biological systems at both ecological and phyisological levels concentrating on the application of now-extensively-investigated singular system theory. Much effort has recently been dedicated to the modelling and analysis of developing bioeconomic systems and the text establishes singular examples of these, showing how proper control can help to maintain sustainable economic development of biological resources. The book begins from the essentials of singular systems theory and bifurcations before tackling the use of various forms of control in singular biological systems using examples including predator-prey relationships and viral vaccination and quarantine control. Researchers and graduate students studying the control of complex biological systems are shown how a variety of methods can be brought to bear and practitioners working with the economics of biological systems and their control will also find the monograph illuminating.

Stability Analysis of Impulsive Functional Differential Equations

Author : Ivanka Stamova
Publisher : Walter de Gruyter
ISBN 13 : 3110221810
Total Pages : 241 pages
Book Rating : 4.1/5 (12 download)

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Book Synopsis Stability Analysis of Impulsive Functional Differential Equations by : Ivanka Stamova

Download or read book Stability Analysis of Impulsive Functional Differential Equations written by Ivanka Stamova and published by Walter de Gruyter. This book was released on 2009 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers interested in a thorough study of the subject. Editorial Board Lev Birbrair, Universidade Federal do Cear , Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany Katrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Bostjan Gabrovsek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

Analysis and Control of Polynomial Dynamic Models with Biological Applications

Author : Gabor Szederkenyi
Publisher : Academic Press
ISBN 13 : 0128154969
Total Pages : 186 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Analysis and Control of Polynomial Dynamic Models with Biological Applications by : Gabor Szederkenyi

Download or read book Analysis and Control of Polynomial Dynamic Models with Biological Applications written by Gabor Szederkenyi and published by Academic Press. This book was released on 2018-03-30 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analysis and Control of Polynomial Dynamic Models with Biological Applications synthesizes three mathematical background areas (graphs, matrices and optimization) to solve problems in the biological sciences (in particular, dynamic analysis and controller design of QP and polynomial systems arising from predator-prey and biochemical models). The book puts a significant emphasis on applications, focusing on quasi-polynomial (QP, or generalized Lotka-Volterra) and kinetic systems (also called biochemical reaction networks or simply CRNs) since they are universal descriptors for smooth nonlinear systems and can represent all important dynamical phenomena that are present in biological (and also in general) dynamical systems. - Describes and illustrates the relationship between the dynamical, algebraic and structural features of the quasi-polynomial (QP) and kinetic models - Shows the applicability of kinetic and QP representation in biological modeling and control through examples and case studies - Emphasizes the importance and applicability of quantitative models in understanding and influencing natural phenomena

Ordinary Differential Equations for Engineers

Author : Ali Ümit Keskin
Publisher : Springer
ISBN 13 : 3319952439
Total Pages : 791 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Ordinary Differential Equations for Engineers by : Ali Ümit Keskin

Download or read book Ordinary Differential Equations for Engineers written by Ali Ümit Keskin and published by Springer. This book was released on 2018-09-01 with total page 791 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents teaching material in the field of differential equations while addressing applications and topics in electrical and biomedical engineering primarily. The book contains problems with varying levels of difficulty, including Matlab simulations. The target audience comprises advanced undergraduate and graduate students as well as lecturers, but the book may also be beneficial for practicing engineers alike.

Complex Networks and Dynamics

Author : Pasquale Commendatore
Publisher : Springer
ISBN 13 : 3319408038
Total Pages : 363 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Complex Networks and Dynamics by : Pasquale Commendatore

Download or read book Complex Networks and Dynamics written by Pasquale Commendatore and published by Springer. This book was released on 2016-09-14 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume sheds light on the current state of complex networks and nonlinear dynamics applied to the understanding of economic and social phenomena ranging from geographical economics to macroeconomics and finance, and its purpose is to give readers an overview of several interesting topics for research at an intermediate level. Three different and interdisciplinary, but complementary, aspects of networks are put together in a single piece, namely: (i) complex networks theory, (ii) applied network analysis to social and economic interrelations, and (iii) dynamical evolution of systems and networks. The volume includes contributions from excellent scholars in economics and social sciences as well as leading experts in the fields of complex networks and nonlinear dynamics.

Dynamics in Logistics

Author : Michael Freitag
Publisher : Springer
ISBN 13 : 3319742256
Total Pages : 435 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Dynamics in Logistics by : Michael Freitag

Download or read book Dynamics in Logistics written by Michael Freitag and published by Springer. This book was released on 2018-02-16 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings contain research presented at the 6th International Conference on Dynamics in Logistics, held in February 2018.The integration of dynamics within the modeling, planning and control of logistic processes and networks has shown to contribute massively to the improvement of the latter. Moreover, diversification of markets and demand has increased both the complexity and the dynamic changes of problems within the area of logistics. To cope with these challenges, it must become possible to identify, describe and analyze such process changes. Moreover, logistic processes and networks must be revised to be rapidly and flexibly adaptable to continuously changing conditions. This book presents new ideas to solve such problems, offering technological, algorithmic and conceptual improvements. It primarily addresses researchers and practitioners in the field of industrial engineering and logistics.

Spectral Theory of Value and Actual Economies

Author : Theodore Mariolis
Publisher : Springer Nature
ISBN 13 : 981336260X
Total Pages : 512 pages
Book Rating : 4.8/5 (133 download)

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Book Synopsis Spectral Theory of Value and Actual Economies by : Theodore Mariolis

Download or read book Spectral Theory of Value and Actual Economies written by Theodore Mariolis and published by Springer Nature. This book was released on 2021-05-29 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops a unified treatment of the income distribution–capital–value problems with respect to actual economies, and then gradually turns to the issues of effective demand and capitalist accumulation fluctuations from both political economy and economic policy perspectives. That treatment, on the one hand, places produced means of production, positive profits, and capital accumulation at the centre of the analysis and, on the other hand, is analytically based on the modern control theory. Hence, the authors’ investigation is concerned with input–output representations of actual single and joint production, heterogeneous labour, and open economies; zeroes in on the characteristic value distributions of the system matrices; and, finally, derives meaningful theoretical results consistent with the empirical evidence, and vice versa. The main topics addressed are the uncontrollable/unobservable aspects of the real-world economies, the powerful low-order spectral approximations and reconstructions of the inter-industry structure of production–value–distributive variables relationships, the critical-constructive appraisal of both “mainstream” and “radical” theories of value, the matrix demand multipliers and demand-switching policies in heterogeneous capital worlds, and the circular inter-actions amongst income distribution, effective demand, accumulation, and technical conditions of production. Written on the occasion of the 60th anniversary of the publication of both Piero Sraffa’s Production of Commodities by Means of Commodities and Rudolf E. Kalman’s paper “On the general theory of control systems”, this book provides a consistent and comprehensive framework for theoretical, empirical, and economic policy research.

Interacting Complexities of Herds and Social Organizations

Author : Stanislaw Raczynski
Publisher : Springer Nature
ISBN 13 : 9811393370
Total Pages : 156 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Interacting Complexities of Herds and Social Organizations by : Stanislaw Raczynski

Download or read book Interacting Complexities of Herds and Social Organizations written by Stanislaw Raczynski and published by Springer Nature. This book was released on 2019-09-05 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents examples of and the latest simulation studies on artificial societies and populations, highlighting innovative implementations of various models of artificial societies and populations using a new, C++-related simulation tool. It demonstrates that the prey-predator models—including spatial distribution, moving patterns, limited renewable food, fear, gregarious (herd) instinct, clustering, epidemics, and competition—are more complex than other publications have suggested, and highlights the great discrepancy between agent-based and conventional continuous models. The book also discusses the modeling and simulation of self-organization and interactions between organizations, including terror organizations, offering fascinating insights into organizational dynamics. The book provides a broad range of examples and comparisons with the classical dynamics approach, showing readers how to construct models of complex systems. It starts with descriptions of the behavior of interacting individuals and also includes important information on the macro-behavior of the whole system.