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...
This monograph provides a summary of the basic theory of branching processes for single-type and multi-type processes. Classic examples of populati...
This book describes a large number of open problems in the theory of stochastic neural systems, with the aim of enticing probabilists to work on them. This includes problems arising from stochastic models of individual neurons as well as those arising from stochastic models of the activities of small and large networks of interconnected neurons. The necessary neuroscience background to these problems is outlined within the text, so readers can grasp the context in which they arise. This book will be useful for graduate students and instructors providing material and references for applying...
This book describes a large number of open problems in the theory of stochastic neural systems, with the aim of enticing probabilists to work on them....
Presenting the mathematical description of evolutionary models of populations subject to interactions (e.g. competition) in the population, this book includes models of finite populations, and limiting models as the size of the population tends to infinity. The material could be used for teaching stochastic processes and their applications.
Presenting the mathematical description of evolutionary models of populations subject to interactions (e.g. competition) in the population, this book ...
