Nonlinear Dynamics Of Interacting Populations

Author : A. D. Bazykin,Aleksandr Iosifovich Khibnik,Bernd Krauskopf
Publisher : World Scientific
Page : 224 pages
File Size : 47,8 Mb
Release : 1998
Category : Science
ISBN : 9810216858

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Nonlinear Dynamics of Interacting Populations by A. D. Bazykin,Aleksandr Iosifovich Khibnik,Bernd Krauskopf Pdf

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.

Author : N Goel
Publisher : Elsevier
Page : 154 pages
File Size : 44,9 Mb
Release : 2012-12-02
Category : Science
ISBN : 9780323160933

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Nonlinear Models of Interacting Populations by N Goel Pdf

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.

Author : Xiao-Qiang Zhao
Publisher : Springer Science & Business Media
Page : 285 pages
File Size : 42,5 Mb
Release : 2013-06-05
Category : Mathematics
ISBN : 9780387217611

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Dynamical Systems in Population Biology by Xiao-Qiang Zhao Pdf

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.

Author : N. S. Goel
Publisher : Unknown
Page : 145 pages
File Size : 50,8 Mb
Release : 1971
Category : Electronic
ISBN : OCLC:1277425789

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Nonlinear Models of Interacting Populations by N. S. Goel Pdf

Author : Krassimir Georgiev,Michail Todorov,Ivan Georgiev
Publisher : Springer
Page : 446 pages
File Size : 41,6 Mb
Release : 2018-09-27
Category : Technology & Engineering
ISBN : 9783319972770

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Advanced Computing in Industrial Mathematics by Krassimir Georgiev,Michail Todorov,Ivan Georgiev Pdf

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.

Author : Krassimir T. Atanassov
Publisher : Springer Nature
Page : 501 pages
File Size : 41,7 Mb
Release : 2021-07-19
Category : Technology & Engineering
ISBN : 9783030722845

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Research in Computer Science in the Bulgarian Academy of Sciences by Krassimir T. Atanassov Pdf

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.

Author : Vadim S. Anishchenko,Vladimir Astakhov,Alexander Neiman,Tatjana Vadivasova,Lutz Schimansky-Geier
Publisher : Springer Science & Business Media
Page : 396 pages
File Size : 49,8 Mb
Release : 2003-01-22
Category : Science
ISBN : 3540424199

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Nonlinear Dynamics of Chaotic and Stochastic Systems by Vadim S. Anishchenko,Vladimir Astakhov,Alexander Neiman,Tatjana Vadivasova,Lutz Schimansky-Geier Pdf

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.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 54,8 Mb
Release : 2024-06-16
Category : Electronic
ISBN : 9789814474207

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Complex Population Dynamics by Anonim Pdf

Author : Adam Gadomski
Publisher : Springer Nature
Page : 332 pages
File Size : 41,5 Mb
Release : 2021-04-21
Category : Science
ISBN : 9783030672270

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Water in Biomechanical and Related Systems by Adam Gadomski Pdf

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.

Author : Thomas Lux,Stefan Reitz,Eleni Samanidou
Publisher : Springer Science & Business Media
Page : 326 pages
File Size : 53,6 Mb
Release : 2006-06-06
Category : Business & Economics
ISBN : 9783540272960

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Nonlinear Dynamics and Heterogeneous Interacting Agents by Thomas Lux,Stefan Reitz,Eleni Samanidou Pdf

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.

Author : Santo Banerjee,Lamberto Rondoni
Publisher : Springer
Page : 304 pages
File Size : 51,9 Mb
Release : 2015-05-04
Category : Science
ISBN : 9783319170374

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Applications of Chaos and Nonlinear Dynamics in Science and Engineering - Vol. 4 by Santo Banerjee,Lamberto Rondoni Pdf

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.

Author : Bernd Blasius,Jrgen Kurths,Lewi Stone
Publisher : World Scientific
Page : 257 pages
File Size : 51,9 Mb
Release : 2007
Category : Mathematics
ISBN : 9789812771582

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Complex Population Dynamics by Bernd Blasius,Jrgen Kurths,Lewi Stone Pdf

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.

Author : Steven H. Strogatz
Publisher : CRC Press
Page : 532 pages
File Size : 48,5 Mb
Release : 2018-05-04
Category : Mathematics
ISBN : 9780429961113

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Nonlinear Dynamics and Chaos by Steven H. Strogatz Pdf

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.

Author : Ovide Arino
Publisher : CRC Press
Page : 128 pages
File Size : 51,7 Mb
Release : 2020-12-18
Category : Mathematics
ISBN : 9781000111163

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mathematical population dynamics by Ovide Arino Pdf

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.

Author : Thomas John Hossie,Dennis Murray
Publisher : Frontiers Media SA
Page : 194 pages
File Size : 45,8 Mb
Release : 2023-07-26
Category : Science
ISBN : 9782832530627

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New perspectives and emerging directions in predator–prey functional response research: Hommage to C.S. Holling (1930– 2019) by Thomas John Hossie,Dennis Murray Pdf