The Effects of Diffusion and Cross-diffusion for the 3 X 3 Lotka-Volterra Competition System

The Effects of Diffusion and Cross-diffusion for the 3 X 3 Lotka-Volterra Competition System PDF Author: Salomé Martínez
Publisher:
ISBN:
Category :
Languages : en
Pages : 242

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The Effects of Diffusion and Spatial Variation in the Lotka-Volterra Competition-diffusion System

The Effects of Diffusion and Spatial Variation in the Lotka-Volterra Competition-diffusion System PDF Author: Xiaoqing He
Publisher:
ISBN:
Category :
Languages : en
Pages : 62

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Issues in Calculus, Mathematical Analysis, and Nonlinear Research: 2011 Edition

Issues in Calculus, Mathematical Analysis, and Nonlinear Research: 2011 Edition PDF Author:
Publisher: ScholarlyEditions
ISBN: 1464965315
Category : Mathematics
Languages : en
Pages : 743

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Book Description
Issues in Calculus, Mathematical Analysis, and Nonlinear Research: 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Calculus, Mathematical Analysis, and Nonlinear Research. The editors have built Issues in Calculus, Mathematical Analysis, and Nonlinear Research: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Calculus, Mathematical Analysis, and Nonlinear Research in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Calculus, Mathematical Analysis, and Nonlinear Research: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

The Mathematics of Diffusion

The Mathematics of Diffusion PDF Author: Wei-Ming Ni
Publisher: SIAM
ISBN: 9781611971972
Category : Mathematics
Languages : en
Pages : 122

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Book Description
Diffusion has been used extensively in many scientific disciplines to model a wide variety of phenomena. The Mathematics of Diffusion focuses on the qualitative properties of solutions to nonlinear elliptic and parabolic equations and systems in connection with domain geometry, various boundary conditions, the mechanism of different diffusion rates, and the interaction between diffusion and spatial heterogeneity. The book systematically explores the interplay between different diffusion rates from the viewpoint of pattern formation, particularly Turing's diffusion-driven instability in both homogeneous and heterogeneous environments, and the roles of random diffusion, directed movements, and spatial heterogeneity in the classical Lotka-Volterra competition systems. Interspersed throughout the book are many simple, fundamental, and important open problems for readers to investigate.

Discrete and Continuous Dynamical Systems

Discrete and Continuous Dynamical Systems PDF Author:
Publisher:
ISBN:
Category : Differentiable dynamical systems
Languages : en
Pages : 674

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Qualitative Analysis and Control of Complex Neural Networks with Delays

Qualitative Analysis and Control of Complex Neural Networks with Delays PDF Author: Zhanshan Wang
Publisher: Springer
ISBN: 3662474840
Category : Technology & Engineering
Languages : en
Pages : 398

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Book Description
This book focuses on the stability of the dynamical neural system, synchronization of the coupling neural system and their applications in automation control and electrical engineering. The redefined concept of stability, synchronization and consensus are adopted to provide a better explanation of the complex neural network. Researchers in the fields of dynamical systems, computer science, electrical engineering and mathematics will benefit from the discussions on complex systems. The book will also help readers to better understand the theory behind the control technique and its design.

Handbook of Differential Equations: Stationary Partial Differential Equations

Handbook of Differential Equations: Stationary Partial Differential Equations PDF Author: Michel Chipot
Publisher: Elsevier
ISBN: 0080560598
Category : Mathematics
Languages : en
Pages : 618

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Book Description
This handbook is the sixth and last volume in the series devoted to stationary partial differential equations. The topics covered by this volume include in particular domain perturbations for boundary value problems, singular solutions of semilinear elliptic problems, positive solutions to elliptic equations on unbounded domains, symmetry of solutions, stationary compressible Navier-Stokes equation, Lotka-Volterra systems with cross-diffusion, and fixed point theory for elliptic boundary value problems. * Collection of self-contained, state-of-the-art surveys * Written by well-known experts in the field * Informs and updates on all the latest developments

Partial Differential Equations in Ecology

Partial Differential Equations in Ecology PDF Author: Sergei Petrovski
Publisher: MDPI
ISBN: 3036502963
Category : Mathematics
Languages : en
Pages : 238

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Book Description
Partial differential equations (PDEs) have been used in theoretical ecology research for more than eighty years. Nowadays, along with a variety of different mathematical techniques, they remain as an efficient, widely used modelling framework; as a matter of fact, the range of PDE applications has even become broader. This volume presents a collection of case studies where applications range from bacterial systems to population dynamics of human riots.

American Doctoral Dissertations

American Doctoral Dissertations PDF Author:
Publisher:
ISBN:
Category : Dissertation abstracts
Languages : en
Pages : 848

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Recent Advances on Elliptic and Parabolic Issues

Recent Advances on Elliptic and Parabolic Issues PDF Author: Michel Chipot
Publisher: World Scientific
ISBN: 9812774173
Category : Mathematics
Languages : en
Pages : 302

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Book Description
This volume is a collection of articles discussing the most recent advances on various topics in partial differential equations. Many important issues regarding evolution problems, their asymptotic behavior and their qualitative properties are addressed. The quality and completeness of the articles will make this book a source of inspiration and references in the future. Contents: Steady Free Convection in a Bounded and Saturated Porous Medium (S Akesbi et al.); Quasilinear Parabolic Functional Evolution Equations (H Amann); A Linear Parabolic Problem with Non-Dissipative Dynamical Boundary Conditions (C Bandle & W Reichel); Remarks on Some Class of Nonlocal Elliptic Problems (M Chipot); On Some Definitions and Properties of Generalized Convex Sets Arising in the Calculus of Variations (B Dacorogna et al.); Note on the Asymptotic Behavior of Solutions to an Anisotropic Crystalline Curvature Flow (C Hirota et al.); A Reaction-Diffusion Approximation to a Cross-Diffusion System (M Iida et al.); Bifurcation Diagrams to an Elliptic Equation Involving the Critical Sobolev Exponent with the Robin Condition (Y Kabeya); Ginzburg-Landau Functional in a Thin Loop and Local Minimizers (S Kosugi & Y Morita); Singular Limit for Some Reaction Diffusion System (K Nakashima); Rayleigh-B(r)nard Convection in a Rectangular Domain (T Ogawa & T Okuda); Some Convergence Results for Elliptic Problems with Periodic Data (Y Xie); On Global Unbounded Solutions for a Semilinear Parabolic Equation (E Yanagida). Readership: Graduate students and researchers in partial differential equations and nonlinear science.