Nonlinear Dynamics of Interacting Populations

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Publisher : World Scientific
ISBN 13 : 9789810216856
Total Pages : 224 pages
Book Rating : 4.2/5 (168 download)

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Book Synopsis Nonlinear Dynamics of Interacting Populations by : A. D. Bazykin

Download or read book Nonlinear Dynamics of Interacting Populations written by A. D. Bazykin and published by World Scientific. This book was released on 1998 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a systematic study of ecological communities of two or three interacting populations. Starting from the Lotka-Volterra system, various regulating factors are considered, such as rates of birth and death, predation and competition. The different factors can have a stabilizing or a destabilizing effect on the community, and their interplay leads to increasingly complicated behavior. Studying and understanding this path to greater dynamical complexity of ecological systems constitutes the backbone of this book. On the mathematical side, the tool of choice is the qualitative theory of dynamical systems — most importantly bifurcation theory, which describes the dependence of a system on the parameters. This approach allows one to find general patterns of behavior that are expected to be observed in ecological models. Of special interest is the reaction of a given model to disturbances of its present state, as well as to changes in the external conditions. This leads to the general idea of “dangerous boundaries” in the state and parameter space of an ecological system. The study of these boundaries allows one to analyze and predict qualitative and often sudden changes of the dynamics — a much-needed tool, given the increasing antropogenic load on the biosphere.As a spin-off from this approach, the book can be used as a guided tour of bifurcation theory from the viewpoint of application. The interested reader will find a wealth of intriguing examples of how known bifurcations occur in applications. The book can in fact be seen as bridging the gap between mathematical biology and bifurcation theory.

Nonlinear Models of Interacting Populations

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Publisher : Elsevier
ISBN 13 : 032316093X
Total Pages : 154 pages
Book Rating : 4.3/5 (231 download)

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Book Synopsis Nonlinear Models of Interacting Populations by : N Goel

Download or read book Nonlinear Models of Interacting Populations written by N Goel and published by Elsevier. This book was released on 2012-12-02 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: On the Volterra and Other Nonlinear Models of Interacting Populations explores the various models brought upon to investigate the different assemblies known to man. Assemblies include populations of various biological species, countries, and political parties among others. Because there are numerous assemblies to be measured and evaluated, it has been decided that a standard model be used to ascertain a detailed investigation. One of the models that have been brought forward is introduced by Volterra, which started as a basis for ecological processes. The book begins by establishing that Volterra’s model is one of the simplest nonlinear competition models. It explores the model through the study of the population growth of a species. It also covers other theories and concepts relating to the Volterra model in the context of the study. These include equilibrium theory, diversity and stability in ecological systems, and time lags in population among others. The book is a helpful reference for students, researchers, scientists, policymakers, and other parties in search of model/s that fully investigate different assemblies.

Nonlinear Models of Interacting Populations

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Publisher :
ISBN 13 :
Total Pages : 145 pages
Book Rating : 4.:/5 (127 download)

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Book Synopsis Nonlinear Models of Interacting Populations by : N. S. Goel

Download or read book Nonlinear Models of Interacting Populations written by N. S. Goel and published by . This book was released on 1971 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Models of Interacting Populations

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Publisher :
ISBN 13 : 9780122874505
Total Pages : 145 pages
Book Rating : 4.8/5 (745 download)

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Book Synopsis Nonlinear Models of Interacting Populations by : Narendra S. Goel

Download or read book Nonlinear Models of Interacting Populations written by Narendra S. Goel and published by . This book was released on 1971 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Dynamics and Heterogeneous Interacting Agents

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Publisher : Springer Science & Business Media
ISBN 13 : 3540272968
Total Pages : 326 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Nonlinear Dynamics and Heterogeneous Interacting Agents by : Thomas Lux

Download or read book Nonlinear Dynamics and Heterogeneous Interacting Agents written by Thomas Lux and published by Springer Science & Business Media. This book was released on 2006-06-06 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: Economic application of nonlinear dynamics, microscopic agent-based modelling, and the use of artificial intelligence techniques as learning devices of boundedly rational actors are among the most exciting interdisciplinary ventures of economic theory over the past decade. This volume provides us with a most fascinating series of examples on "complexity in action" exemplifying the scope and explanatory power of these innovative approaches.

Advances in Nonlinear Dynamics

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Publisher : Springer Nature
ISBN 13 : 303081162X
Total Pages : 891 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Advances in Nonlinear Dynamics by : Walter Lacarbonara

Download or read book Advances in Nonlinear Dynamics written by Walter Lacarbonara and published by Springer Nature. This book was released on 2022-03-18 with total page 891 pages. Available in PDF, EPUB and Kindle. Book excerpt: This first of three volumes includes papers from the second series of NODYCON, which was held virtually in February of 2021. The conference papers reflect a broad coverage of topics in nonlinear dynamics, ranging from traditional topics from established streams of research to those from relatively unexplored and emerging venues of research. These include Fluid-structure interactions Mechanical systems and structures Computational nonlinear dynamics Analytical techniques Bifurcation and dynamic instability Rotating systems Modal interactions and energy transfer Nonsmooth systems

Advanced Computing in Industrial Mathematics

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Publisher : Springer
ISBN 13 : 3319972774
Total Pages : 446 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Advanced Computing in Industrial Mathematics by : Krassimir Georgiev

Download or read book Advanced Computing in Industrial Mathematics written by Krassimir Georgiev and published by Springer. This book was released on 2018-09-27 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers the peer-reviewed proceedings of the 12th Annual Meeting of the Bulgarian Section of the Society for Industrial and Applied Mathematics, BGSIAM’17, held in Sofia, Bulgaria, in December 2017. The general theme of BGSIAM’17 was industrial and applied mathematics, with a particular focus on: high-performance computing, numerical methods and algorithms, analysis of partial differential equations and their applications, mathematical biology, control and uncertain systems, stochastic models, molecular dynamics, neural networks, genetic algorithms, metaheuristics for optimization problems, generalized nets, and Big Data.

Research in Computer Science in the Bulgarian Academy of Sciences

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Publisher : Springer Nature
ISBN 13 : 3030722848
Total Pages : 501 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Research in Computer Science in the Bulgarian Academy of Sciences by : Krassimir T. Atanassov

Download or read book Research in Computer Science in the Bulgarian Academy of Sciences written by Krassimir T. Atanassov and published by Springer Nature. This book was released on 2021-07-19 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of papers devoted to the emergence and development in Bulgarian Academy of Sciences of some of the areas of informatics, including artificial intelligence. The papers are prepared by specialists from the Academy, some of whom are among the founders of these scientific and application areas in Bulgaria and in some cases – in the world. The book is interesting for specialists in informatics and computer science and researchers in history of sciences.

Nonlinear Dynamics and Chaos

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Publisher : CRC Press
ISBN 13 : 0429961111
Total Pages : 532 pages
Book Rating : 4.4/5 (299 download)

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Book Synopsis Nonlinear Dynamics and Chaos by : Steven H. Strogatz

Download or read book Nonlinear Dynamics and Chaos written by Steven H. Strogatz and published by CRC Press. This book was released on 2018-05-04 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.

Differential Dynamical Systems, Revised Edition

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Publisher : SIAM
ISBN 13 : 161197464X
Total Pages : 392 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Differential Dynamical Systems, Revised Edition by : James D. Meiss

Download or read book Differential Dynamical Systems, Revised Edition written by James D. Meiss and published by SIAM. This book was released on 2017-01-24 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential equations are the basis for models of any physical systems that exhibit smooth change. This book combines much of the material found in a traditional course on ordinary differential equations with an introduction to the more modern theory of dynamical systems. Applications of this theory to physics, biology, chemistry, and engineering are shown through examples in such areas as population modeling, fluid dynamics, electronics, and mechanics.? Differential Dynamical Systems begins with coverage of linear systems, including matrix algebra; the focus then shifts to foundational material on nonlinear differential equations, making heavy use of the contraction-mapping theorem. Subsequent chapters deal specifically with dynamical systems concepts?flow, stability, invariant manifolds, the phase plane, bifurcation, chaos, and Hamiltonian dynamics. This new edition contains several important updates and revisions throughout the book. Throughout the book, the author includes exercises to help students develop an analytical and geometrical understanding of dynamics. Many of the exercises and examples are based on applications and some involve computation; an appendix offers simple codes written in Maple?, Mathematica?, and MATLAB? software to give students practice with computation applied to dynamical systems problems.

Applications of Chaos and Nonlinear Dynamics in Science and Engineering - Vol. 4

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Publisher : Springer
ISBN 13 : 3319170376
Total Pages : 304 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Applications of Chaos and Nonlinear Dynamics in Science and Engineering - Vol. 4 by : Santo Banerjee

Download or read book Applications of Chaos and Nonlinear Dynamics in Science and Engineering - Vol. 4 written by Santo Banerjee and published by Springer. This book was released on 2015-05-04 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chaos and nonlinear dynamics initially developed as a new emergent field with its foundation in physics and applied mathematics. The highly generic, interdisciplinary quality of the insights gained in the last few decades has spawned myriad applications in almost all branches of science and technology—and even well beyond. Wherever quantitative modeling and analysis of complex, nonlinear phenomena is required, chaos theory and its methods can play a key role. his fourth volume concentrates on reviewing further relevant contemporary applications of chaotic and nonlinear dynamics as they apply to the various cuttingedge branches of science and engineering. This encompasses, but is not limited to, topics such as synchronization in complex networks and chaotic circuits, time series analysis, ecological and biological patterns, stochastic control theory and vibrations in mechanical systems. Featuring contributions from active and leading research groups, this collection is ideal both as a reference and as a ‘recipe book’ full of tried and tested, successful engineering applications.

Nonlinear Dynamics of Chaotic and Stochastic Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540424192
Total Pages : 396 pages
Book Rating : 4.4/5 (241 download)

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Book Synopsis Nonlinear Dynamics of Chaotic and Stochastic Systems by : Vadim S. Anishchenko

Download or read book Nonlinear Dynamics of Chaotic and Stochastic Systems written by Vadim S. Anishchenko and published by Springer Science & Business Media. This book was released on 2003-01-22 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains both an exhaustive introduction to the subject as well as a detailed discussion of fundamental problems and research results. Despite the unified presentation of the subject, care has been taken to present the material in largely self-contained chapters.

Water in Biomechanical and Related Systems

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Publisher : Springer Nature
ISBN 13 : 3030672271
Total Pages : 332 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Water in Biomechanical and Related Systems by : Adam Gadomski

Download or read book Water in Biomechanical and Related Systems written by Adam Gadomski and published by Springer Nature. This book was released on 2021-04-21 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contributed volume puts emphasis on a superior role of water in (bio)systems exposed to a mechanical stimulus. It is well known that water plays an extraordinary role in our life. It feeds mammalian or other organism after distributing over its whole volume to support certain physiological and locomotive (friction-adhesion) processes to mention but two of them, both of extreme relevance. Water content, not only in the mammalian organism but also in other biosystems such as whether those of soil which is equipped with microbiome or the ones pertinent to plants, having their own natural network of water vessels, is always subjected to a force field.The decisive force field applied to the biosystems makes them biomechanically agitated irrespective of whether they are subjected to external or internal force-field conditions. It ought to be noted that the decisive mechanical factor shows up in a close relation with the space-and-time scale in which it is causing certain specific phenomena to occur.The scale problem, emphasizing the range of action of gravitational force, thus the millimeter or bigger force vs. distance scale, is supposed to enter the so-called macroscale approach to water transportation through soil or plants’ roots system. It is merely related to a percolation problem, which assumes to properly inspect the random network architecture assigned to the biosystems invoked. The capillarity conditions turn out to be of prior importance, and the porous-medium effect has to be treated, and solved in a fairly approximate way.The deeper the scale is penetrated by a force-exerting and hydrated agent the more non-gravitational force fields manifest. This can be envisaged in terms of the corresponding thermodynamic (non-Newtonian) forces, and the phenomena of interest are mostly attributed to suitable changes of the osmotic pressure. In low Reynolds number conditions, thus in the (sub)micrometer distance-scale zone, they are related with the corresponding viscosity changes of the aqueous, e.g. cytoplasmatic solutions, of semi-diluted and concentrated (but also electrolytic) characteristics. For example, they can be observed in articulating systems of mammals, in their skin, and to some extent, in other living beings, such as lizards, geckos or even insects. Through their articulating devices an external mechanical stimulus is transmitted from macro- to nanoscale, wherein the corresponding osmotic-pressure conditions apply. The content of the proposed work can be distributed twofold. First, the biomechanical mammalian-type (or, similar) systems with extraordinary relevance of water for their functioning will be presented, also including a presentation of water itself as a key physicochemical system/medium. Second, the suitably chosen related systems, mainly of soil and plant addressing provenience, will be examined thoroughly. As a common denominator of all of them, it is proposed to look at their hydrophobic and/or (de)hydration effects, and how do they impact on their basic mechanical (and related, such as chemo-mechanical or piezoelectric, etc.) properties. An additional tacit assumption employed throughout the monograph concerns statistical scalability of the presented biosystems which is equivalent to take for granted a certain similarity between local and global system’s properties, mostly those of mechanical nature. The presented work’s chapters also focus on biodiversity and ecological aspects in the world of animals and plants, and the related systems. The chapters’ contents underscore the bioinspiration as the key landmark of the proposed monograph.

Complex Population Dynamics

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Publisher :
ISBN 13 : 9814474207
Total Pages : pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Complex Population Dynamics by :

Download or read book Complex Population Dynamics written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Dynamical Systems in Population Biology

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Publisher : Springer Science & Business Media
ISBN 13 : 0387217614
Total Pages : 285 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Dynamical Systems in Population Biology by : Xiao-Qiang Zhao

Download or read book Dynamical Systems in Population Biology written by Xiao-Qiang Zhao and published by Springer Science & Business Media. This book was released on 2013-06-05 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: Population dynamics is an important subject in mathematical biology. A cen tral problem is to study the long-term behavior of modeling systems. Most of these systems are governed by various evolutionary equations such as difference, ordinary, functional, and partial differential equations (see, e. g. , [165, 142, 218, 119, 55]). As we know, interactive populations often live in a fluctuating environment. For example, physical environmental conditions such as temperature and humidity and the availability of food, water, and other resources usually vary in time with seasonal or daily variations. Therefore, more realistic models should be nonautonomous systems. In particular, if the data in a model are periodic functions of time with commensurate period, a periodic system arises; if these periodic functions have different (minimal) periods, we get an almost periodic system. The existing reference books, from the dynamical systems point of view, mainly focus on autonomous biological systems. The book of Hess [106J is an excellent reference for periodic parabolic boundary value problems with applications to population dynamics. Since the publication of this book there have been extensive investigations on periodic, asymptotically periodic, almost periodic, and even general nonautonomous biological systems, which in turn have motivated further development of the theory of dynamical systems. In order to explain the dynamical systems approach to periodic population problems, let us consider, as an illustration, two species periodic competitive systems dUI dt = !I(t,Ul,U2), (0.

Complex Population Dynamics

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Publisher : World Scientific
ISBN 13 : 9812771581
Total Pages : 257 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Complex Population Dynamics by : Bernd Blasius

Download or read book Complex Population Dynamics written by Bernd Blasius and published by World Scientific. This book was released on 2007 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of review articles is devoted to the modeling of ecological, epidemiological and evolutionary systems. Theoretical mathematical models are perhaps one of the most powerful approaches available for increasing our understanding of the complex population dynamics in these natural systems. Exciting new techniques are currently being developed to meet this challenge, such as generalized or structural modeling, adaptive dynamics or multiplicative processes. Many of these new techniques stem from the field of nonlinear dynamics and chaos theory, where even the simplest mathematical rule can generate a rich variety of dynamical behaviors that bear a strong analogy to biological populations.

mathematical population dynamics

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Publisher : CRC Press
ISBN 13 : 1000111164
Total Pages : pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis mathematical population dynamics by : Ovide Arino

Download or read book mathematical population dynamics written by Ovide Arino and published by CRC Press. This book was released on 2020-12-18 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an outcome of the Second International Conference on Mathematical Population Dynamics. It is intended for mathematicians, statisticians, biologists, and medical researchers who are interested in recent advances in analyzing changes in populations of genes, cells, and tumors.