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Lotka Volterra Approach To Cooperation And Competition In Dynamic Systems
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Book Synopsis Lotka-Volterra-approach to Cooperation and Competition in Dynamic Systems by : Unesco. Working Group on Systems Analysis. Meeting
Download or read book Lotka-Volterra-approach to Cooperation and Competition in Dynamic Systems written by Unesco. Working Group on Systems Analysis. Meeting and published by . This book was released on 1985 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :Alexander B. Kurzhanski Publisher :Springer Science & Business Media ISBN 13 :3662007487 Total Pages :219 pages Book Rating :4.6/5 (62 download)
Book Synopsis Dynamical Systems by : Alexander B. Kurzhanski
Download or read book Dynamical Systems written by Alexander B. Kurzhanski and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: The investigation of special topics in systems dynamics -uncertain dynamic processes, viability theory, nonlinear dynamics in models for biomathematics, inverse problems in control systems theory-has become a major issue at the System and Decision Sciences Research Program of the International Insti tute for Applied Systems Analysis. The above topics actually reflect two different perspectives in the investigation of dynamic processes. The first, motivated by control theory, is concerned with the properties of dynamic systems that are stable under vari ations in the systems' parameters. This allows us to specify classes of dynamic systems for which it is possible to construct and control a whole "tube" of trajectories assigned to a system with uncertain parameters and to resolve some inverse problems of control theory within numerically stable solution schemes. The second perspective is to investigate generic properties of dynamic systems that are due to nonlinearity (as bifurcations theory, chaotic behavior, stability properties, and related problems in the qualitative theory of differential systems). Special stress is given to the applications of non linear dynamic systems theory to biomathematics and ecoloey.
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.
Book Synopsis Evolutionary Games and Population Dynamics by : Josef Hofbauer
Download or read book Evolutionary Games and Population Dynamics written by Josef Hofbauer and published by Cambridge University Press. This book was released on 1998-05-28 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Every form of behaviour is shaped by trial and error. Such stepwise adaptation can occur through individual learning or through natural selection, the basis of evolution. Since the work of Maynard Smith and others, it has been realised how game theory can model this process. Evolutionary game theory replaces the static solutions of classical game theory by a dynamical approach centred not on the concept of rational players but on the population dynamics of behavioural programmes. In this book the authors investigate the nonlinear dynamics of the self-regulation of social and economic behaviour, and of the closely related interactions between species in ecological communities. Replicator equations describe how successful strategies spread and thereby create new conditions which can alter the basis of their success, i.e. to enable us to understand the strategic and genetic foundations of the endless chronicle of invasions and extinctions which punctuate evolution. In short, evolutionary game theory describes when to escalate a conflict, how to elicit cooperation, why to expect a balance of the sexes, and how to understand natural selection in mathematical terms.
Book Synopsis Evolutionary Game Theory by : Jörgen W. Weibull
Download or read book Evolutionary Game Theory written by Jörgen W. Weibull and published by MIT Press. This book was released on 1997 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces current evolutionary game theory--where ideas from evolutionary biology and rationalistic economics meet--emphasizing the links between static and dynamic approaches and noncooperative game theory. This text introduces current evolutionary game theory--where ideas from evolutionary biology and rationalistic economics meet--emphasizing the links between static and dynamic approaches and noncooperative game theory. Much of the text is devoted to the key concepts of evolutionary stability and replicator dynamics. The former highlights the role of mutations and the latter the mechanisms of selection. Moreover, set-valued static and dynamic stability concepts, as well as processes of social evolution, are discussed. Separate background chapters are devoted to noncooperative game theory and the theory of ordinary differential equations. There are examples throughout as well as individual chapter summaries. Because evolutionary game theory is a fast-moving field that is itself branching out and rapidly evolving, Jörgen Weibull has judiciously focused on clarifying and explaining core elements of the theory in an up-to-date, comprehensive, and self-contained treatment. The result is a text for second-year graduate students in economic theory, other social sciences, and evolutionary biology. The book goes beyond filling the gap between texts by Maynard-Smith and Hofbauer and Sigmund that are currently being used in the field. Evolutionary Game Theory will also serve as an introduction for those embarking on research in this area as well as a reference for those already familiar with the field. Weibull provides an overview of the developments that have taken place in this branch of game theory, discusses the mathematical tools needed to understand the area, describes both the motivation and intuition for the concepts involved, and explains why and how it is relevant to economics.
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.
Book Synopsis Systems Analysis and Simulation 1988, I: Theory and Foundations. Proceedings of the International Symposium held in Berlin (GDR), September 12–16, 1988 by : Achim Sydow
Download or read book Systems Analysis and Simulation 1988, I: Theory and Foundations. Proceedings of the International Symposium held in Berlin (GDR), September 12–16, 1988 written by Achim Sydow and published by Walter de Gruyter GmbH & Co KG. This book was released on 2022-01-19 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Chaos in Systems with Noise by : Tomasz Kapitaniak
Download or read book Chaos in Systems with Noise written by Tomasz Kapitaniak and published by World Scientific. This book was released on 1990 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: As in the first edition, the influence of random noise on the chaotic behavior of dissipative dynamical systems is investigated. Problems are illustrated by mechanical examples. This revised and updated edition contains new sections on the summary of probability theory, homoclinic chaos, Melnikov method, routes to chaos, stabilization of period-doubling, and Hopf bifurcation by noise. Some chapters have been rewritten and new examples have been added.
Book Synopsis Dynamical Systems and Environmental Models by : Hans Günter Bothe
Download or read book Dynamical Systems and Environmental Models written by Hans Günter Bothe and published by . This book was released on 1987 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Advances in Mathematical Optimization by : J. Guddat et al.
Download or read book Advances in Mathematical Optimization written by J. Guddat et al. and published by Walter de Gruyter GmbH & Co KG. This book was released on 2022-01-19 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Andreotti-Grauert Theory by Integral Formulas by : G. M. Henkin
Download or read book Andreotti-Grauert Theory by Integral Formulas written by G. M. Henkin and published by Walter de Gruyter GmbH & Co KG. This book was released on 2022-01-19 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Perspectives of Nonlinear Dynamics: Volume 1 by : E. Atlee Jackson
Download or read book Perspectives of Nonlinear Dynamics: Volume 1 written by E. Atlee Jackson and published by CUP Archive. This book was released on 1989 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: The dynamics of physical, chemical, biological, or fluid systems generally must be described by nonlinear models, whose detailed mathematical solutions are not obtainable. To understand some aspects of such dynamics, various complementary methods and viewpoints are of crucial importance. In this book the perspectives generated by analytical, topological and computational methods, and interplays between them, are developed in a variety of contexts. This book is a comprehensive introduction to this field, suited to a broad readership, and reflecting a wide range of applications. Some of the concepts considered are: topological equivalence; embeddings; dimensions and fractals; Poincaré maps and map-dynamics; empirical computational sciences vis-á-vis mathematics; Ulam's synergetics; Turing's instability and dissipative structures; chaos; dynamic entropies; Lorenz and Rossler models; predator-prey and replicator models; FPU and KAM phenomena; solitons and nonsolitons; coupled maps and pattern dynamics; cellular automata.
Book Synopsis Physics of Self-Organization and Evolution by : Werner Ebeling
Download or read book Physics of Self-Organization and Evolution written by Werner Ebeling and published by John Wiley & Sons. This book was released on 2011-09-19 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thoroughly updated version of the German authoritative work on self-organization has been completely rewritten by internationally renowned experts and experienced book authors to also include a review of more recent literature. It retains the original enthusiasm and fascination surrounding thermodynamic systems far from equilibrium, synergetics, and the origin of life, representing an easily readable book and tutorial on this exciting field. The book is unique in covering in detail the experimental and theoretical fundamentals of self-organizing systems as well as such selected features as random processes, structural networks and multistable systems, while focusing on the physical and theoretical modeling of natural selection and evolution processes. The authors take examples from physics, chemistry, biology and social systems, and include results hitherto unpublished in English. The result is a one-stop resource relevant for students and scientists in physics or related interdisciplinary fields, including mathematical physics, biophysics, information science and nanotechnology.
Book Synopsis A Model Theoretic Oriented Approach to Partial Algebras by : P. Burmeister
Download or read book A Model Theoretic Oriented Approach to Partial Algebras written by P. Burmeister and published by Walter de Gruyter GmbH & Co KG. This book was released on 1986-12-31 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "A Model Theoretic Oriented Approach to Partial Algebras".
Book Synopsis Matrices and Graphs Stability Problems in Mathematical Ecology by : D. Logofet
Download or read book Matrices and Graphs Stability Problems in Mathematical Ecology written by D. Logofet and published by CRC Press. This book was released on 2018-02-01 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intuitive ideas of stability in dynamics of a biological population, community, or ecosystem can be formalized in the framework of corresponding mathematical models. These are often represented by systems of ordinary differential equations or difference equations. Matrices and Graphs covers achievements in the field using concepts from matrix theory and graph theory. The book effectively surveys applications of mathematical results pertinent to issues of theoretical and applied ecology. The only mathematical prerequisite for using Matrices and Graphs is a working knowledge of linear algebra and matrices. The book is ideal for biomathematicians, ecologists, and applied mathematicians doing research on dynamic behavior of model populations and communities consisting of multi-component systems. It will also be valuable as a text for a graduate-level topics course in applied math or mathematical ecology.
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.
Book Synopsis Modern Algorithms for Large Sparse Eigenvalue Problems by : Arnd Meyer
Download or read book Modern Algorithms for Large Sparse Eigenvalue Problems written by Arnd Meyer and published by Walter de Gruyter GmbH & Co KG. This book was released on 1987-12-31 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Modern Algorithms for Large Sparse Eigenvalue Problems".
