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Dynamics Of Lotka Volterra Competition Systems With Large Interaction
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Book Synopsis Abstract Parabolic Evolution Equations and their Applications by : Atsushi Yagi
Download or read book Abstract Parabolic Evolution Equations and their Applications written by Atsushi Yagi and published by Springer Science & Business Media. This book was released on 2009-11-03 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is intended to present the fundamentals of the theory of abstract parabolic evolution equations and to show how to apply to various nonlinear dif- sion equations and systems arising in science. The theory gives us a uni?ed and s- tematic treatment for concrete nonlinear diffusion models. Three main approaches are known to the abstract parabolic evolution equations, namely, the semigroup methods, the variational methods, and the methods of using operational equations. In order to keep the volume of the monograph in reasonable length, we will focus on the semigroup methods. For other two approaches, see the related references in Bibliography. The semigroup methods, which go back to the invention of the analytic se- groups in the middle of the last century, are characterized by precise formulas representing the solutions of the Cauchy problem for evolution equations. The ?tA analytic semigroup e generated by a linear operator ?A provides directly a fundamental solution to the Cauchy problem for an autonomous linear e- dU lution equation, +AU =F(t), 0
Book Synopsis Complexity and Evolution of Dissipative Systems by : Sergey Vakulenko
Download or read book Complexity and Evolution of Dissipative Systems written by Sergey Vakulenko and published by Walter de Gruyter. This book was released on 2013-11-27 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the dynamic complexity of neural, genetic networks, and reaction diffusion systems. The author shows that all robust attractors can be realized in dynamics of such systems. In particular, a positive solution of the Ruelle-Takens hypothesis for on chaos existence for large class of reaction-diffusion systems is given. The book considers viability problems for such systems - viability under extreme random perturbations - and discusses an interesting hypothesis of M. Gromov and A. Carbone on biological evolution. There appears a connection with the Kolmogorov complexity theory. As applications, transcription-factors-microRNA networks are considered, patterning in biology, a new approach to estimate the computational power of neural and genetic networks, social and economical networks, and a connection with the hard combinatorial problems.
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 Advances in Mathematical Sciences and Applications by :
Download or read book Advances in Mathematical Sciences and Applications written by and published by . This book was released on 2008 with total page 748 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Topological Methods in Nonlinear Analysis by :
Download or read book Topological Methods in Nonlinear Analysis written by and published by . This book was released on 2007 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Scaling And Disordered Systems: International Workshop And Collection Of Articles Honoring Professor Antonio Coniglio On The Occasion Of His 60th Birthday by : Mohamed Daoud
Download or read book Scaling And Disordered Systems: International Workshop And Collection Of Articles Honoring Professor Antonio Coniglio On The Occasion Of His 60th Birthday written by Mohamed Daoud and published by World Scientific. This book was released on 2002-05-30 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: Investigation of the fractal and scaling properties of disordered systems has recently become a focus of great interest in research. Disordered or amorphous materials, like glasses, polymers, gels, colloids, ceramic superconductors and random alloys or magnets, do not have a homogeneous microscopic structure. The microscopic environment varies randomly from site to site in the system and this randomness adds to the complexity and the richness of the properties of these materials. A particularly challenging aspect of random systems is their dynamical behavior. Relaxation in disordered systems generally follows an unusual time-dependent trajectory. Applications of scaling and fractal concepts in disordered systems have become a broad area of interdisciplinary research, involving studies of the physics, chemistry, mathematics, biology and engineering aspects of random systems.This book is intended for specialists as well as graduate and postdoctoral students working in condensed-matter or statistical physics. It provides state-of-the-art information on the latest developments in this important and timely topic. The book is divided into three parts: Part I deals with critical phenomena, Part II is devoted to discussion of slow dynamics and Part III involves the application of scaling concepts to random systems. The effects of disorder at the mesoscopic scale as well as the latest results on the dynamical properties of disordered systems are presented. In particular, recent developments in static and dynamic scaling theories and applications of fractal concepts to disordered systems are discussed.
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 Unifying Themes in Complex Systems by : Ali A. Minai
Download or read book Unifying Themes in Complex Systems written by Ali A. Minai and published by Springer Science & Business Media. This book was released on 2010-06-02 with total page 657 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, scientists have applied the principles of complex systems science to increasingly diverse fields. The results have been nothing short of remarkable: their novel approaches have provided answers to long-standing questions in biology, ecology, physics, engineering, computer science, economics, psychology and sociology. "Unifying Themes in Complex Systems" is a well established series of carefully edited conference proceedings that serve the purpose of documenting and archiving the progress of cross-fertilization in this field. About NECSI: For over 10 years, The New England Complex Systems Institute (NECSI) has been instrumental in the development of complex systems science and its applications. NECSI conducts research, education, knowledge dissemination, and community development around the world for the promotion of the study of complex systems and its application for the betterment of society. NECSI hosts the International Conference on Complex Systems and publishes the NECSI Book Series in conjunction with Springer Publishers.
Book Synopsis Global Ecology by : Sven Erik Jørgensen
Download or read book Global Ecology written by Sven Erik Jørgensen and published by Academic Press. This book was released on 2010-04-16 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: Global Ecology focuses on the perception of the biosphere or the ecosphere as a unified cooperative system with numerous synergistic effects, which describe the distinctive properties of this sphere. This book is subdivided into five parts dealing with diverse aspects in global ecology. The first part of the book provides comprehensive description of the biosphere, including its unique characteristics and evolution. This part also describes various spheres in the biosphere, such as the hydrosphere, noosphere, and pedosphere as well as their composition. The next part focuses on the global cycles, including calcium, carbon, iron, microbial nitrogen, oxygen, phosphorus, sulfur, and water cycles. In addition, global balances and flows are explained. Presented in the third part are the results of the global cycles and flows as well as the patterns of the climatic factors and marine currents. There is also a part discussing the climate interactions, climatic changes, and its effect on the living organisms. The book concludes by covering the application of stoichiometry in the biosphere and in ecosystems. The book offers a comprehensive view of global ecology and ecological stoichiometry, which will aid in the processes of global ecology. - Provides an overview of the theory and application of global ecology - International focus and range of ecosystems makes Global Ecology an indispensable resource to scientists - Based on the bestselling Encyclopedia of Ecology - Full-color figures and tables support the text and aid in understanding
Book Synopsis Elements of Physical Biology by : Alfred James Lotka
Download or read book Elements of Physical Biology written by Alfred James Lotka and published by . This book was released on 1925 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: General principles. Kinetics. Statics. Dynamics.
Book Synopsis Mathematical Biology by : Ronald W. Shonkwiler
Download or read book Mathematical Biology written by Ronald W. Shonkwiler and published by Springer Science & Business Media. This book was released on 2009-08-04 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text presents mathematical biology as a field with a unity of its own, rather than only the intrusion of one science into another. The book focuses on problems of contemporary interest, such as cancer, genetics, and the rapidly growing field of genomics.
Download or read book Mathematical Reviews written by and published by . This book was released on 2003 with total page 786 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Models in Population Biology and Epidemiology by : Fred Brauer
Download or read book Mathematical Models in Population Biology and Epidemiology written by Fred Brauer and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of this book is to search for a balance between simple and analyzable models and unsolvable models which are capable of addressing important questions on population biology. Part I focusses on single species simple models including those which have been used to predict the growth of human and animal population in the past. Single population models are, in some sense, the building blocks of more realistic models -- the subject of Part II. Their role is fundamental to the study of ecological and demographic processes including the role of population structure and spatial heterogeneity -- the subject of Part III. This book, which will include both examples and exercises, is of use to practitioners, graduate students, and scientists working in the field.
Book Synopsis Mathematical Modelling & Computing in Biology and Medicine by : V. Capasso (Ed)
Download or read book Mathematical Modelling & Computing in Biology and Medicine written by V. Capasso (Ed) and published by Società Editrice Esculapio. This book was released on 2003 with total page 659 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Multitrophic Interactions in Terrestrial Systems by : A. C. Gange
Download or read book Multitrophic Interactions in Terrestrial Systems written by A. C. Gange and published by Cambridge University Press. This book was released on 2002-08 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multitrophic interactions are now recognised as being of the utmost importance in understanding the complexity of the natural world. However, their complex nature had often been a barrier to their study as they require research teams composed of workers often with very disparate interests. This book therefore takes a multidisciplinary approach to complex interactions across many trophic levels and includes authors from disciplines as diverse as mycology, entomology, nematology, population ecology and theoretical ecology. Throughout, the direct and indirect interactions between organisms from different trophic levels are emphasised in comprehensive reviews, bringing a fresh, collaborative approach to community ecology. The book is ideal for those seeking an overview of our understanding of mulittrophic interactions as well as directions for future research.
Book Synopsis Biomat 2015 - International Symposium On Mathematical And Computational Biology by : Rubem P Mondaini
Download or read book Biomat 2015 - International Symposium On Mathematical And Computational Biology written by Rubem P Mondaini and published by World Scientific. This book was released on 2016-04-28 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book of an international series on interdisciplinary topics of the Mathematical and Biological Sciences. The chapters are related to selected papers on the research themes presented at BIOMAT 2015 International Symposium on Mathematical and Computational Biology which was held in the Roorkee Institute of Technology, in Roorkee, Uttarakhand, India, on November 02-06, 2015. The treatment is both pedagogical and advanced in order to motivate research students to fulfill the requirements of professional practitioners. As in other volumes of this series, there are new important results on the interdisciplinary fields of mathematical and biological sciences and comprehensive reviews written by prominent scientific leaders of famous research groups.There are new results based on the state of art research in Population Dynamics, on Pattern Recognition of Biological Phenomena, the Mathematical Modelling of Infectious Diseases, Computational Biology, the Dynamic and Geometric Modelling of Biological Phenomena, the Modelling of Physiological Disorders, the Optimal Control Techniques in Mathematical Modelling of Biological Phenomena, the Hydrodynamics and Elasticity of Cell Tissues and Bacterial Growth and the Mathematical Morphology of Biological Structures. All these contributions are also strongly recommended to professionals from other scientific areas aiming to work on these interdisciplinary fields.
Book Synopsis Recent Progress on Reaction-diffusion Systems and Viscosity Solutions by : Yihong Du
Download or read book Recent Progress on Reaction-diffusion Systems and Viscosity Solutions written by Yihong Du and published by World Scientific. This book was released on 2009 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of survey and research articles expanding on the theme of the ?International Conference on Reaction-Diffusion Systems and Viscosity Solutions?, held at Providence University, Taiwan, during January 3?6, 2007. It is a carefully selected collection of articles representing the recent progress of some important areas of nonlinear partial differential equations. The book is aimed for researchers and postgraduate students who want to learn about or follow some of the current research topics in nonlinear partial differential equations. The contributors consist of international experts and some participants of the conference, including Nils Ackermann (Mexico), Chao-Nien Chen (Taiwan), Yihong Du (Australia), Alberto Farina (France), Hitoshi Ishii (Waseda), N Ishimura (Japan), Shigeaki Koike (Japan), Chu-Pin Lo (Taiwan), Peter Polacik (Minnesota), Kunimochi Sakamoto (Hiroshima), Richard Tsai (Texas), Mingxin Wang (China), Yoshio Yamada (Waseda), Eiji Yanagida (Tohoku), and Xiao-Qiang Zhao (Canada).
