Pierre Magal's Books

Differential Equations and Population Dynamics I

Introductory Approaches

By: Arnaud Ducrot,Quentin Griette,Zhihua Liu,Pierre Magal

Write a review Read reviews Take a Quiz Solve Book Puzzle

Differential Equations and Population Dynamics I

Introductory Approaches

By: Arnaud Ducrot,Quentin Griette,Zhihua Liu,Pierre Magal

This book provides an introduction to the theory of ordinary differential equations and its applications to population dynamics. Part I focuses on linear systems. Beginning with some modeling background, it considers existence, uniqueness, stability of solution, positivity, and the Perron–Frobenius theorem and its consequences. Part II is devoted to nonlinear systems, with material on the semiflow property, positivity, the existence of invariant sub-regions, the Linearized Stability Principle, the Hartman–Grobman Theorem, and monotone semiflow. Part III opens up new perspectives for the understanding of infectious diseases by applying the theoretical results to COVID-19, combining data and epidemic models. Throughout the book the material is illustrated by numerical examples and their MATLAB codes are provided. Bridging an interdisciplinary gap, the book will be valuable to graduate and advanced undergraduate students studying mathematics and population dynamics.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

458

Publisher

Springer Nature

Published Date

ISBN 10

3030981363

ISBN 13

9783030981365

Theory and Applications of Abstract Semilinear Cauchy Problems

By: Pierre Magal,Shigui Ruan

Write a review Read reviews Take a Quiz Solve Book Puzzle

Theory and Applications of Abstract Semilinear Cauchy Problems

By: Pierre Magal,Shigui Ruan

Several types of differential equations, such as functional differential equation, age-structured models, transport equations, reaction-diffusion equations, and partial differential equations with delay, can be formulated as abstract Cauchy problems with non-dense domain. This monograph provides a self-contained and comprehensive presentation of the fundamental theory of non-densely defined semilinear Cauchy problems and their applications. Starting from the classical Hille-Yosida theorem, semigroup method, and spectral theory, this monograph introduces the abstract Cauchy problems with non-dense domain, integrated semigroups, the existence of integrated solutions, positivity of solutions, Lipschitz perturbation, differentiability of solutions with respect to the state variable, and time differentiability of solutions. Combining the functional analysis method and bifurcation approach in dynamical systems, then the nonlinear dynamics such as the stability of equilibria, center manifold theory, Hopf bifurcation, and normal form theory are established for abstract Cauchy problems with non-dense domain. Finally applications to functional differential equations, age-structured models, and parabolic equations are presented. This monograph will be very valuable for graduate students and researchers in the fields of abstract Cauchy problems, infinite dimensional dynamical systems, and their applications in biological, chemical, medical, and physical problems.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

558

Publisher

Springer

Published Date

ISBN 10

3030015068

ISBN 13

9783030015060

Center Manifolds for Semilinear Equations with Non-Dense Domain and Applications to Hopf Bifurcation in Age Structured Models

By: Pierre Magal,Shigui Ruan

Write a review Read reviews Take a Quiz Solve Book Puzzle

Center Manifolds for Semilinear Equations with Non-Dense Domain and Applications to Hopf Bifurcation in Age Structured Models

By: Pierre Magal,Shigui Ruan

Several types of differential equations, such as delay differential equations, age-structure models in population dynamics, evolution equations with boundary conditions, can be written as semilinear Cauchy problems with an operator which is not densely defined in its domain. The goal of this paper is to develop a center manifold theory for semilinear Cauchy problems with non-dense domain. Using Liapunov-Perron method and following the techniques of Vanderbauwhede et al. in treating infinite dimensional systems, the authors study the existence and smoothness of center manifolds for semilinear Cauchy problems with non-dense domain. As an application, they use the center manifold theorem to establish a Hopf bifurcation theorem for age structured models.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821846531

ISBN 13

9780821846537

The State Nobility

Elite Schools in the Field of Power

By: Pierre Bourdieu

Write a review Read reviews Take a Quiz Solve Book Puzzle

The State Nobility

Elite Schools in the Field of Power

By: Pierre Bourdieu

Examining in detail the work of consecration carried out by elite education systems, Bourdieu analyzes the distinctive forms of power—political, intellectual, bureaucratic, and economic—by means of which contemporary societies are governed.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

510

Publisher

Stanford University Press

Published Date

ISBN 10

0804733465

ISBN 13

9780804733465

Quantum Transport

Modelling, Analysis and Asymptotics - Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, September 11–16, 2006

By: Gregoire Allaire,Anton Arnold,Pierre Degond,Thomas Y. Hou

Write a review Read reviews Take a Quiz Solve Book Puzzle

Quantum Transport

Modelling, Analysis and Asymptotics - Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, September 11–16, 2006

By: Gregoire Allaire,Anton Arnold,Pierre Degond,Thomas Y. Hou

In this volume, a result of The CIME Summer School held in Cetraro, Italy, in 2006, four leading specialists present different aspects of quantum transport modeling. It provides an excellent basis for researchers in this field.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

272

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540795731

ISBN 13

9783540795735

Paris-Princeton Lectures on Mathematical Finance 2010

By: Areski Cousin,Stéphane Crépey,Olivier Guéant,David Hobson,Monique Jeanblanc,Jean-Michel Lasry,Jean-Paul Laurent,Pierre-Louis Lions,Peter Tankov

Write a review Read reviews Take a Quiz Solve Book Puzzle

Paris-Princeton Lectures on Mathematical Finance 2010

By: Areski Cousin,Stéphane Crépey,Olivier Guéant,David Hobson,Monique Jeanblanc,Jean-Michel Lasry,Jean-Paul Laurent,Pierre-Louis Lions,Peter Tankov

The Paris-Princeton Lectures in Financial Mathematics, of which this is the fourth volume, publish cutting-edge research in self-contained, expository articles from outstanding specialists - established or on the rise! The aim is to produce a series of articles that can serve as an introductory reference source for research in the field. The articles are the result of frequent exchanges between the finance and financial mathematics groups in Paris and Princeton. The present volume sets standards with five articles by: 1. Areski Cousin, Monique Jeanblanc and Jean-Paul Laurent, 2. Stéphane Crépey, 3. Olivier Guéant, Jean-Michel Lasry and Pierre-Louis Lions, 4. David Hobson and 5. Peter Tankov.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

374

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642146597

ISBN 13

9783642146596

Differential Equations and Population Dynamics I

Introductory Approaches

By: Arnaud Ducrot,Quentin Griette,Zhihua Liu,Pierre Magal

Write a review Read reviews Take a Quiz Solve Book Puzzle

Differential Equations and Population Dynamics I

Introductory Approaches

By: Arnaud Ducrot,Quentin Griette,Zhihua Liu,Pierre Magal

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

458

Publisher

Springer Nature

Published Date

ISBN 10

3030981363

ISBN 13

9783030981365

Structured Population Models in Biology and Epidemiology

By: Pierre Magal,Shigui Ruan

Write a review Read reviews Take a Quiz Solve Book Puzzle

Structured Population Models in Biology and Epidemiology

By: Pierre Magal,Shigui Ruan

In this new century mankind faces ever more challenging environmental and publichealthproblems,suchaspollution,invasionbyexoticspecies,theem- gence of new diseases or the emergence of diseases into new regions (West Nile virus,SARS,Anthrax,etc.),andtheresurgenceofexistingdiseases(in?uenza, malaria, TB, HIV/AIDS, etc.). Mathematical models have been successfully used to study many biological, epidemiological and medical problems, and nonlinear and complex dynamics have been observed in all of those contexts. Mathematical studies have helped us not only to better understand these problems but also to ?nd solutions in some cases, such as the prediction and control of SARS outbreaks, understanding HIV infection, and the investi- tion of antibiotic-resistant infections in hospitals. Structuredpopulationmodelsdistinguishindividualsfromoneanother- cording to characteristics such as age, size, location, status, and movement, to determine the birth, growth and death rates, interaction with each other and with environment, infectivity, etc. The goal of structured population models is to understand how these characteristics a?ect the dynamics of these models and thus the outcomes and consequences of the biological and epidemiolo- cal processes. There is a very large and growing body of literature on these topics. This book deals with the recent and important advances in the study of structured population models in biology and epidemiology. There are six chapters in this book, written by leading researchers in these areas.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

314

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540782729

ISBN 13

9783540782728

Theory and Applications of Abstract Semilinear Cauchy Problems

By: Pierre Magal,Shigui Ruan

Write a review Read reviews Take a Quiz Solve Book Puzzle

Theory and Applications of Abstract Semilinear Cauchy Problems

By: Pierre Magal,Shigui Ruan

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

558

Publisher

Springer

Published Date

ISBN 10

3030015068

ISBN 13

9783030015060

Book's by Pierre Magal

Differential Equations and Population Dynamics I

Differential Equations and Population Dynamics I

Theory and Applications of Abstract Semilinear Cauchy Problems

Theory and Applications of Abstract Semilinear Cauchy Problems

Center Manifolds for Semilinear Equations with Non-Dense Domain and Applications to Hopf Bifurcation in Age Structured Models

Center Manifolds for Semilinear Equations with Non-Dense Domain and Applications to Hopf Bifurcation in Age Structured Models

The State Nobility

The State Nobility

Quantum Transport

Quantum Transport

Paris-Princeton Lectures on Mathematical Finance 2010

Paris-Princeton Lectures on Mathematical Finance 2010

Differential Equations and Population Dynamics I

Differential Equations and Population Dynamics I

Structured Population Models in Biology and Epidemiology

Structured Population Models in Biology and Epidemiology

Theory and Applications of Abstract Semilinear Cauchy Problems

Theory and Applications of Abstract Semilinear Cauchy Problems

Username

Password

Username

Password

Password again

Birthday

Email