Stochastic Population and Epidemic Models

Author: Linda J. S. Allen
Publisher: Springer
ISBN: 9783319215549
Release Date: 2015-08-20
Genre: Mathematics

This monograph provides a summary of the basic theory of branching processes for single-type and multi-type processes. Classic examples of population and epidemic models illustrate the probability of population or epidemic extinction obtained from the theory of branching processes. The first chapter develops the branching process theory, while in the second chapter two applications to population and epidemic processes of single-type branching process theory are explored. The last two chapters present multi-type branching process applications to epidemic models, and then continuous-time and continuous-state branching processes with applications. In addition, several MATLAB programs for simulating stochastic sample paths are provided in an Appendix. These notes originated as part of a lecture series on Stochastics in Biological Systems at the Mathematical Biosciences Institute in Ohio, USA. Professor Linda Allen is a Paul Whitfield Horn Professor of Mathematics in the Department of Mathematics and Statistics at Texas Tech University, USA.

Controlled Branching Processes

Author: Miguel González Velasco
Publisher: John Wiley & Sons
ISBN: 9781119484646
Release Date: 2017-12-27
Genre: Mathematics

The purpose of this book is to provide a comprehensive discussion of the available results for discrete time branching processes with random control functions. The independence of individuals’ reproduction is a fundamental assumption in the classical branching processes. Alternatively, the controlled branching processes (CBPs) allow the number of reproductive individuals in one generation to decrease or increase depending on the size of the previous generation. Generating a wide range of behaviors, the CBPs have been successfully used as modeling tools in diverse areas of applications.

Differential Equations with Applications to Biology

Author: Shigui Ruan
Publisher: American Mathematical Soc.
ISBN: 9780821809440
Release Date: 1999
Genre: Science

This book presents the proceedings from the International Conference held in Halifax, NS in July 1997. Funded by The Fields Institute and Le Centre de Recherches Mathematiques, the conference was held in honor of the retirement of Professors Lynn Erbe and Herb I. Freedman (University of Alberta). Featured topics include ordinary, partial, functional, and stochastic differential equations and their applications to biology, epidemiology, neurobiology, physiology and other related areas. The 41 papers included in this volume represent the recent work of leading researchers over a wide range of subjects, including bifurcation theory, chaos, stability theory, boundary value problems, persistence theory, neural networks, disease transmission, population dynamics, pattern formation and more. The text would be suitable for a graduate or advanced undergraduate course study in mathematical biology. Features: An overview of current developments in differential equations and mathematical biology. Authoritative contributions from over 60 leading worldwide researchers. Original, refereed contributions.

Philosophical Transactions

Author:
Publisher:
ISBN: CORNELL:31924079999862
Release Date: 1996
Genre: Biology

Each issue of Transactions B is devoted to a specific area of the biological sciences, including clinical science. All papers are peer reviewed and edited to the highest standards. Published on the 29th of each month, Transactions B is essential reading for all biologists.

Ecology

Author:
Publisher:
ISBN: UOM:39015029424226
Release Date: 1985
Genre: Ecology


Mathematical Approaches for Emerging and Reemerging Infectious Diseases Models Methods and Theory

Author: Carlos Castillo-Chavez
Publisher: Springer Science & Business Media
ISBN: 9781461300656
Release Date: 2012-12-06
Genre: Medical

This IMA Volume in Mathematics and its Applications MATHEMATICAL APPROACHES FOR EMERGING AND REEMERGING INFECTIOUS DISEASES: MODELS, AND THEORY METHODS is based on the proceedings of a successful one week workshop. The pro ceedings of the two-day tutorial which preceded the workshop "Introduction to Epidemiology and Immunology" appears as IMA Volume 125: Math ematical Approaches for Emerging and Reemerging Infectious Diseases: An Introduction. The tutorial and the workshop are integral parts of the September 1998 to June 1999 IMA program on "MATHEMATICS IN BI OLOGY. " I would like to thank Carlos Castillo-Chavez (Director of the Math ematical and Theoretical Biology Institute and a member of the Depart ments of Biometrics, Statistics and Theoretical and Applied Mechanics, Cornell University), Sally M. Blower (Biomathematics, UCLA School of Medicine), Pauline van den Driessche (Mathematics and Statistics, Uni versity of Victoria), and Denise Kirschner (Microbiology and Immunology, University of Michigan Medical School) for their superb roles as organizers of the meetings and editors of the proceedings. Carlos Castillo-Chavez, es pecially, made a major contribution by spearheading the editing process. I am also grateful to Kenneth L. Cooke (Mathematics, Pomona College), for being one of the workshop organizers and to Abdul-Aziz Yakubu (Mathe matics, Howard University) for serving as co-editor of the proceedings. I thank Simon A. Levin (Ecology and Evolutionary Biology, Princeton Uni versity) for providing an introduction.

Stochastische dynamische Systeme

Author: Josef Honerkamp
Publisher:
ISBN: 3527279458
Release Date: 1990
Genre:

Stochastic dynamic systems - often simply called 2complex2 systems are characterized through a) many degrees of freedom and b) being far away from a state of equilibrium. Description and modeling of such systems via stochastic processes play an increasingly important role in applications-oriented research in physics, chemistry, biology and meteorology. This book, based on lectures given in graduate courses in physics, provides the mathematical basis necessary for a comprehensive treatment of complex systems. Besides introducing the concepts, the author discusses numerical methods to simulate stochastic processes and to fit observed processes to stochastic models.

Verkehrsdynamik und simulation

Author: Martin Treiber
Publisher: Springer-Verlag
ISBN: 3642052282
Release Date: 2010-09-08
Genre: Science

Das Lehrbuch liefert eine umfassende Darstellung der Modellierung und Dynamik des Straßenverkehrs. Es erschließt Studierenden ein Gebiet, das bisher nur in der englischsprachigen Originalliteratur dargestellt wurde. Aktuelle Anwendungen in Bereichen wie Verkehrsmanagement, Fahrer-Assistenzsysteme oder Verkehrstelematik stellen den Praxisbezug her, zahlreiche Abbildungen und Übungsaufgaben vertiefen das Verständnis. Das Buch richtet sich an Physik- und Verkehrsingenieurstudenten sowie Studierende der Informatik, Mathematik und technischer Richtungen.

Mathematische Modellierung

Author: Christof Eck
Publisher: Springer-Verlag
ISBN: 9783662543351
Release Date: 2017-02-08
Genre: Mathematics

Das Lehrbuch bietet eine lebendige und anschauliche Einführung in die mathematische Modellierung von Phänomenen aus den Natur- und Ingenieurwissenschaften. Leser lernen, mathematische Modelle zu verstehen und selbst herzuleiten und finden eine Fülle von Beispielen, u. a. aus den Bereichen chemische Reaktionskinetik, Populationsdynamik, Strömungsdynamik, Elastizitätstheorie und Kristallwachstum. Die Methoden der Linearen Algebra, der Analysis und der Theorie der gewöhnlichen und partiellen Differentialgleichungen werden sorgfältig eingeführt.

Boten des Lichts

Author: Víctor Conde
Publisher: Thienemann Verlag
ISBN: 9783522621052
Release Date: 2014-02-14
Genre: Juvenile Fiction

Tanya, Erik und Mauro sind die Auserwählten – in ihren Adern fließt das Blut echter Erzengel und nur sie haben die Macht, den Kampf Himmel gegen Hölle, Engel gegen Dämonen, zum Guten zu wenden. Doch es fällt den drei Jugendlichen nicht leicht, ihr Erbe zu akzeptieren, schließlich ist es verdammt schwierig, ein Engel zu sein! Wenn sie sich nicht zusammenraufen, übernehmen die Dämonen die Herrschaft über die Erde und die Menschen sind verloren! Die Zeit drängt: im Himmel ist die Hölle los! Actionreiche Fantasy vom spanischen Fantasy-Experten

Genetik der Pilze

Author: Karl Esser
Publisher: Springer-Verlag
ISBN: 9783642492105
Release Date: 2013-03-13
Genre: Science


Wege zu einem nachhaltigen Umgang mit S wasser

Author: Wissenschaftlicher Beirat der Bundesregierung GlobaleUmweltveränderungen
Publisher: Springer-Verlag
ISBN: 9783642720079
Release Date: 2013-03-07
Genre: Business & Economics

Die globale Süßwasserkrise wird sich zukünftig weiter verschärfen. Neueste Analysen des Wissenschaftlichen Beirats der Bundesregierung Globale Umweltveränderungen (WBGU) zeigen nicht nur die heutigen Brennpunkte, sondern auch die zukünftig für Wasserkrisen besonders anfälligen Weltregionen auf. Zusätzlich werden drei eng mit der globalen Süßwasserkrise in Verbindung stehende "Krankheitsbilder der Erde" untersucht. Aus dieser Zusammenschau leiten die Wissenschaftler in ihrem neuesten Jahresbericht Handlungsempfehlungen für die Politik ab.