Patterns and Waves
Author: Peter Grindrod
Publisher: Oxford University Press, USA
Published: 1991
Total Pages: 264
ISBN-13:
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Numerical Bifurcation Analysis for Reaction-Diffusion Equations
Author: Zhen Mei
Publisher: Springer Science & Business Media
Published: 2013-03-09
Total Pages: 422
ISBN-13: 3662041774
DOWNLOAD EBOOKThis monograph is the first to provide readers with numerical tools for a systematic analysis of bifurcation problems in reaction-diffusion equations. Many examples and figures illustrate analysis of bifurcation scenario and implementation of numerical schemes. Readers will gain a thorough understanding of numerical bifurcation analysis and the necessary tools for investigating nonlinear phenomena in reaction-diffusion equations.
Bifurcation Theory of Functional Differential Equations
Author: Shangjiang Guo
Publisher: Springer Science & Business Media
Published: 2013-07-30
Total Pages: 295
ISBN-13: 1461469929
DOWNLOAD EBOOKThis book provides a crash course on various methods from the bifurcation theory of Functional Differential Equations (FDEs). FDEs arise very naturally in economics, life sciences and engineering and the study of FDEs has been a major source of inspiration for advancement in nonlinear analysis and infinite dimensional dynamical systems. The book summarizes some practical and general approaches and frameworks for the investigation of bifurcation phenomena of FDEs depending on parameters with chap. This well illustrated book aims to be self contained so the readers will find in this book all relevant materials in bifurcation, dynamical systems with symmetry, functional differential equations, normal forms and center manifold reduction. This material was used in graduate courses on functional differential equations at Hunan University (China) and York University (Canada).
Handbook of Nonlinear Partial Differential Equations
Author: Andrei D. Polyanin
Publisher: CRC Press
Published: 2004-06-02
Total Pages: 835
ISBN-13: 1135440816
DOWNLOAD EBOOKThe Handbook of Nonlinear Partial Differential Equations is the latest in a series of acclaimed handbooks by these authors and presents exact solutions of more than 1600 nonlinear equations encountered in science and engineering--many more than any other book available. The equations include those of parabolic, hyperbolic, elliptic and other types, and the authors pay special attention to equations of general form that involve arbitrary functions. A supplement at the end of the book discusses the classical and new methods for constructing exact solutions to nonlinear equations. To accommodate different mathematical backgrounds, the authors avoid wherever possible the use of special terminology, outline some of the methods in a schematic, simplified manner, and arrange the equations in increasing order of complexity. Highlights of the Handbook:
Emerging and Reemerging Viral Pathogens
Author: Moulay Mustapha Ennaji
Publisher: Academic Press
Published: 2019-09-14
Total Pages: 389
ISBN-13: 0128149671
DOWNLOAD EBOOKEmerging and Reemerging Viral Pathogens: Applied Virology Approaches Related to Human, Animal and Environmental Pathogens, Volume Two presents new research information on viruses and their impact on the scientific community. It provides a reference book on certain viruses in humans, animals and vegetal, along with a comprehensive discussion on interspecies interactions. The book then looks at the drug, vaccine and bioinformatical strategies that can be used against these viruses, giving the reader a clear understanding of transmission. The book's end goal is to create awareness that the appearance of newly transmissible pathogens is a global risk that requires shared/adoptable policies for prevention and control. - Covers most emerging viral disease in humans, animals and plants - Provides the most advanced tools and techniques in molecular virology and the modeling of viruses - Creates awareness that the appearance of new transmissible pathogens is a global risk - Highlights the need to adopt shared policies for the prevention and control of infectious diseases
Mathematical Biology
Author: James D. Murray
Publisher: Springer Science & Business Media
Published: 2013-06-29
Total Pages: 783
ISBN-13: 3662085429
DOWNLOAD EBOOKMathematics has always benefited from its involvement with developing sciences. Each successive interaction revitalises and enhances the field. Biomedical science is clearly the premier science of the foreseeable future. For the continuing health of their subject mathematicians must become involved with biology. With the example of how mathematics has benefited from and influenced physics, it is clear that if mathematicians do not become involved in the biosciences they will simply not be a part of what are likely to be the most important and exciting scientific discoveries of all time. Mathematical biology is a fast growing, well recognised, albeit not clearly defined, subject and is, to my mind, the most exciting modern application of mathematics. The increasing use of mathematics in biology is inevitable as biol ogy becomes more quantitative. The complexity of the biological sciences makes interdisciplinary involvement essential. For the mathematician, biology opens up new and exciting branches while for the biologist mathematical modelling offers another research tool commmensurate with a new powerful laboratory technique but only if used appropriately and its limitations recognised. However, the use of esoteric mathematics arrogantly applied to biological problems by mathemati cians who know little about the real biology, together with unsubstantiated claims as to how important such theories are, does little to promote the interdisciplinary involvement which is so essential. Mathematical biology research, to be useful and interesting, must be relevant biologically.
Lyapunov Functionals and Stability of Stochastic Functional Differential Equations
Author: Leonid Shaikhet
Publisher: Springer Science & Business Media
Published: 2013-03-29
Total Pages: 352
ISBN-13: 3319001019
DOWNLOAD EBOOKStability conditions for functional differential equations can be obtained using Lyapunov functionals. Lyapunov Functionals and Stability of Stochastic Functional Differential Equations describes the general method of construction of Lyapunov functionals to investigate the stability of differential equations with delays. This work continues and complements the author’s previous book Lyapunov Functionals and Stability of Stochastic Difference Equations, where this method is described for difference equations with discrete and continuous time. The text begins with both a description and a delineation of the peculiarities of deterministic and stochastic functional differential equations. There follows basic definitions for stability theory of stochastic hereditary systems, and the formal procedure of Lyapunov functionals construction is presented. Stability investigation is conducted for stochastic linear and nonlinear differential equations with constant and distributed delays. The proposed method is used for stability investigation of different mathematical models such as: • inverted controlled pendulum; • Nicholson's blowflies equation; • predator-prey relationships; • epidemic development; and • mathematical models that describe human behaviours related to addictions and obesity. Lyapunov Functionals and Stability of Stochastic Functional Differential Equations is primarily addressed to experts in stability theory but will also be of interest to professionals and students in pure and computational mathematics, physics, engineering, medicine, and biology.
Analysis and Design of Delayed Genetic Regulatory Networks
Author: Xian Zhang
Publisher: Springer
Published: 2019-04-11
Total Pages: 275
ISBN-13: 3030170985
DOWNLOAD EBOOKThis book offers an essential introduction to the latest advances in delayed genetic regulatory networks (GRNs) and presents cutting-edge work on the analysis and design of delayed GRNs in which the system parameters are subject to uncertain, stochastic and/or parameter-varying changes. Specifically, the types examined include delayed switching GRNs, delayed stochastic GRNs, delayed reaction–diffusion GRNs, delayed discrete-time GRNs, etc. In addition, the solvability of stability analysis, control and estimation problems involving delayed GRNs are addressed in terms of linear matrix inequality or M-matrix tests. The book offers a comprehensive reference guide for researchers and practitioners working in system sciences and applied mathematics, and a valuable source of information for senior undergraduates and graduates in these areas. Further, it addresses a gap in the literature by providing a unified and concise framework for the analysis and design of delayed GRNs.
Trends in Biomathematics: Modeling Epidemiological, Neuronal, and Social Dynamics
Author: Rubem P. Mondaini
Publisher: Springer Nature
Published: 2023-07-24
Total Pages: 394
ISBN-13: 3031330501
DOWNLOAD EBOOKThis volume gathers together selected peer-reviewed works presented at the BIOMAT 2022 International Symposium, which was virtually held on November 7-11, 2022, with an organization staff based in Rio de Janeiro, Brazil. Topics touched on in this volume include infection spread in a population described by an agent-based approach; the study of gene essentiality via network-based computational modeling; stochastic models of neuronal dynamics; and the modeling of a statistical distribution of amino acids in protein domain families. The reader will also find texts in epidemic models with dynamic social distancing; with no vertical transmission; and with general incidence rates. Aspects of COVID-19 dynamics: the use of an SEIR model to analyze its spread in Brazil; the age-dependent manner of modeling its spread pattern; the impact of media awareness programs; and a web-based computational tool for Non-invasive hemodynamics evaluation of coronary stenosis are also covered. Held every year since 2001, The BIOMAT International Symposium gathers together, in a single conference, researchers from Mathematics, Physics, Biology, and affine fields to promote the interdisciplinary exchange of results, ideas and techniques, promoting truly international cooperation for problem discussion. BIOMAT volumes published from 2017 to 2021 are also available by Springer.
Stability Analysis of Nonlinear Systems
Author: V. Lakshmikantham
Publisher: CRC Press
Published: 1988-11-29
Total Pages: 344
ISBN-13: 9780824780678
DOWNLOAD EBOOKInvestigates stability theory in terms of two different measures, treats the theory of a variety of inequalities, and demonstrates manifestations of the general Lyapunov method. Also covers the importance of utilizing different forms of nonlinear variation of parametric formulae, constructive method
