Epidemic Modelling

An Introduction

Author: D. J. Daley,J. Gani

Publisher: Cambridge University Press

ISBN: 9780521014670

Category: Mathematics

Page: 213

View: 1037

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This is a general introduction to the mathematical modelling of diseases.
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An Introduction to Stochastic Processes with Applications to Biology

Author: Linda J. S. Allen

Publisher: CRC Press

ISBN: 143989468X

Category: Mathematics

Page: 496

View: 5722

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An Introduction to Stochastic Processes with Applications to Biology, Second Edition presents the basic theory of stochastic processes necessary in understanding and applying stochastic methods to biological problems in areas such as population growth and extinction, drug kinetics, two-species competition and predation, the spread of epidemics, and the genetics of inbreeding. Because of their rich structure, the text focuses on discrete and continuous time Markov chains and continuous time and state Markov processes. New to the Second Edition A new chapter on stochastic differential equations that extends the basic theory to multivariate processes, including multivariate forward and backward Kolmogorov differential equations and the multivariate Itô’s formula The inclusion of examples and exercises from cellular and molecular biology Double the number of exercises and MATLAB® programs at the end of each chapter Answers and hints to selected exercises in the appendix Additional references from the literature This edition continues to provide an excellent introduction to the fundamental theory of stochastic processes, along with a wide range of applications from the biological sciences. To better visualize the dynamics of stochastic processes, MATLAB programs are provided in the chapter appendices.
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Math and Bio 2010

Linking Undergraduate Disciplines

Author: Lynn Arthur Steen

Publisher: MAA

ISBN: 9780883858189

Category: Mathematics

Page: 161

View: 8118

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"Math and bio 2010 grew out of 'Meeting the Challenges: Education across the Biological, Mathematical and Computer Sciences,' a joint project of the Mathematical Association of America (MAA), the National Science Foundation Division of Undergraduate Education (NSF DUE), the National Institute of General Medical Sciences (NIGMS), the American Association for the Advancement of Science (AAAS), and the American Society for Microbiology (ASM)."--Foreword, p. vi
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Mathematical Epidemiology

Author: Fred Brauer,Pauline van den Driessche,J. Wu

Publisher: Springer Science & Business Media

ISBN: 3540789103

Category: Medical

Page: 414

View: 3031

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Based on lecture notes of two summer schools with a mixed audience from mathematical sciences, epidemiology and public health, this volume offers a comprehensive introduction to basic ideas and techniques in modeling infectious diseases, for the comparison of strategies to plan for an anticipated epidemic or pandemic, and to deal with a disease outbreak in real time. It covers detailed case studies for diseases including pandemic influenza, West Nile virus, and childhood diseases. Models for other diseases including Severe Acute Respiratory Syndrome, fox rabies, and sexually transmitted infections are included as applications. Its chapters are coherent and complementary independent units. In order to accustom students to look at the current literature and to experience different perspectives, no attempt has been made to achieve united writing style or unified notation. Notes on some mathematical background (calculus, matrix algebra, differential equations, and probability) have been prepared and may be downloaded at the web site of the Centre for Disease Modeling (www.cdm.yorku.ca).
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Second Order Elliptic Equations and Elliptic Systems

Contemporary Mathematics

Author: Abba B. Gumel

Publisher: American Mathematical Soc.

ISBN: 0821898620

Category: Mathematics

Page: 310

View: 9355

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This volume contains the proceedings of the AMS Special Session on Nonstandard Finite-Difference Discretizations and Nonlinear Oscillations, in honor of Ronald Mickens's 70th birthday, held January 9-10, 2013, in San Diego, CA. Included are papers on design and analysis of discrete-time and continuous-time dynamical systems arising in the natural and engineering sciences, in particular, the design of robust nonstandard finite-difference methods for solving continuous-time ordinary and partial differential equation models, the analytical and numerical study of models that undergo nonlinear oscillations, as well as the design of deterministic and stochastic models for epidemiological and ecological processes. Some of the specific topics covered in the book include the analysis of deterministic and stochastic SIR-type models, the assessment of cost-effectiveness of vaccination problems, finite-difference methods for oscillatory dynamical systems (including the Schrödinger equation and Brusselator system), the design of exact and elementary stable finite-difference methods, the study of a two-patch model with Allee effects and disease-modified fitness, the study of the delay differential equation model with application to circadian rhythm and the application of some special functions in the solutions of some problems arising in the natural and engineering sciences. A notable feature of the book is the collection of some relevant open problems, intended to help guide the direction of future research in the area.
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Human Biology

Author: Raymond Pearl

Publisher: N.A

ISBN: N.A

Category: Anthropology

Page: N.A

View: 1006

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Includes section "Recent literature useful in the study of human biology."
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Quasi-stationary Phenomena in Nonlinearly Perturbed Stochastic Systems

Author: Mats Gyllenberg,Dmitriĭ Sergeevich Silʹvestrov

Publisher: De Gruyter

ISBN: N.A

Category: Mathematics

Page: 579

View: 8614

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This book is devoted to the mathematical studies of stochastic systems with quasi-stationary phenomena which have applications to population dynamics or epidemic models. In addition to its use for the research and reference purposes, the book can also be used in special courses on the subject and as a complementary reading in general courses on stochastic processes. In this respect, it may be useful for specialists as well as doctoral and advanced undergraduate students.
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Biological Delay Systems

Linear Stability Theory

Author: N. MacDonald

Publisher: Cambridge University Press

ISBN: 9780521340847

Category: Mathematics

Page: 235

View: 3141

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In studying the dynamics of populations, whether of animals, plants or cells, it is crucial to allow for delays such as those due to gestation, maturation or transport. This book deals with a fundamental question in the analysis of the effects of delays, namely whether they affect the stability of steady states.
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