Bifurcation de solutions d'une équation différentielle non linéaire à argument avancé PDF Download

Author: Imre B. Emmerth
Publisher:
ISBN:
Category :
Languages : fr
Pages : 148

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Author: Medhat el- Zanfaly (auteur d'une thèse de sciences.)
Publisher:
ISBN:
Category :
Languages : fr
Pages : 86

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Author: Pierre Seguier (Mathématicien)
Publisher:
ISBN:
Category :
Languages : fr
Pages : 81

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Author: Mark Mason
Publisher: John Wiley & Sons
ISBN: 1444307363
Category : Education
Languages : en
Pages : 256

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A collection of scholarly essays, Complexity Theory and thePhilosophy of Education provides an accessible theoreticalintroduction to the topic of complexity theory while consideringits broader implications for educational change. Explains the contributions of complexity theory to philosophyof education, curriculum, and educational research Brings together new research by an international team ofcontributors Debates issues ranging from the culture of curriculum, to theimplications of work of key philosophers such as Foucault and JohnDewey for educational change Demonstrates how social scientists and social and educationpolicy makers are drawing on complexity theory to answer questionssuch as: why is it that education decision-makers are so resistantto change; how does change in education happen; and what does ittake to make these changes sustainable? Considers changes in use of complexity theory; developedprincipally in the fields of physics, biology, chemistry, andeconomics, and now being applied more broadly to the socialsciences and to the study of education

Author: Klaus Friedrich Roth
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 20

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Author: T. Czaran
Publisher: Springer Science & Business Media
ISBN: 9780412575501
Category : Science
Languages : en
Pages : 312

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This book presents a comprehensive typology and a comprehensible description of spatiotemporal models used in population dynamics. The main types included are: reaction-diffusion systems, patch models, matapopulation approaches, host parasitoid models, cellular automata (interacting particle systems), tessellations and distance models. The models are introduced through examples and with informative verbal explanations to help understanding. Some of the cellular automation examples are models not yet published elsewhere. Possible extensions of certain model types are suggested.

Author: Philostratus (the Athenian)
Publisher:
ISBN:
Category :
Languages : en
Pages : 280

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Author: K. Gopalsamy
Publisher: Springer Science & Business Media
ISBN: 9780792315940
Category : Mathematics
Languages : en
Pages : 526

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This monograph provides a definitive overview of recent advances in the stability and oscillation of autonomous delay differential equations. Topics include linear and nonlinear delay and integrodifferential equations, which have potential applications to both biological and physical dynamic processes. Chapter 1 deals with an analysis of the dynamical characteristics of the delay logistic equation, and a number of techniques and results relating to stability, oscillation and comparison of scalar delay and integrodifferential equations are presented. Chapter 2 provides a tutorial-style introduction to the study of delay-induced Hopf bifurcation to periodicity and the related computations for the analysis of the stability of bifurcating periodic solutions. Chapter 3 is devoted to local analyses of nonlinear model systems and discusses many methods applicable to linear equations and their perturbations. Chapter 4 considers global convergence to equilibrium states of nonlinear systems, and includes oscillations of nonlinear systems about their equilibria. Qualitative analyses of both competitive and cooperative systems with time delays feature in both Chapters 3 and 4. Finally, Chapter 5 deals with recent developments in models of neutral differential equations and their applications to population dynamics. Each chapter concludes with a number of exercises and the overall exposition recommends this volume as a good supplementary text for graduate courses. For mathematicians whose work involves functional differential equations, and whose interest extends beyond the boundaries of linear stability analysis.

Author: Valerie Isham
Publisher: Cambridge University Press
ISBN: 9780521453394
Category : Mathematics
Languages : en
Pages : 518

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Infectious disease accounts for more death and disability globally than either non-infectious disease or injury. This book contains a breadth of different quantitative approaches to understanding the patterns of infectious diseases in populations, and the design of control strategies to lessen their effect. The contributors bring a great variety of mathematical expertise (including deterministic and stochastic modelling and statistical data analysis) and involvement in a wide range of applied fields across the spectrum of biological, medical and social sciences. The aim is to increase interaction between specialities by describing research on many of the infectious diseases that affect humans, including both viral diseases like measles and AIDS and tropical parasitic infections. The papers are divided into groups dealing with problems relating to transmissible diseases, vaccination strategies, the consequences of treatment interventions, the dynamics of immunity, heterogeneity of populations, and prediction.

Author: Eric Renshaw
Publisher: Cambridge University Press
ISBN: 9780521448550
Category : Mathematics
Languages : en
Pages : 428

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This volume develops a unifying approach to population studies, emphasising the interplay between modelling and experimentation. Throughout, mathematicians and biologists are provided with a framework within which population dynamics can be fully explored and understood. Aspects of population dynamics covered include birth-death and logistic processes, competition and predator-prey relationships, chaos, reaction time-delays, fluctuating environments, spatial systems, velocities of spread, epidemics, and spatial branching structures. Both deterministic and stochastic models are considered. Whilst the more theoretically orientated sections will appeal to mathematical biologists, the material is presented so that readers with little mathematical expertise can bypass these without losing the main flow of the text.