Stochastic Population and Epidemic Models: Persistence and Extinction - Couverture souple

Allen, Linda J. S.

Couverture souple

ISBN 10 : 3319215531 ISBN 13 : 9783319215532

Editeur : Springer, 2015

Synopsis

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 theDepartment of Mathematics and Statistics at Texas Tech University, USA.

A propos du livre

À propos de l?auteur

Linda J. S. Allen is a Professor in the Department of Mathematics and Statistics at Texas Tech University. Allen's primary research interest is mathematical modeling in biology. She formulates and analyzes deterministic and stochastic models in describing population, epidemic, viral and immune-system dynamics.

Détails de l'édition

• Éditeur: Springer
• Date d'édition: 2015
• Langue: anglais
• ISBN 10: 3319215531
• ISBN 13: 9783319215532
• Reliure: Broché
• Numéro d'édition: 1
• Nombre de pages: 60
• Coordonnées du fabricant: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3,69115 Heidelberg, Germany; Heidelberg; 69115; Allemagne