Controlled Branching Processes

Controlled Branching Processes provides 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.

• Presents a comprehensive analysis of the evolution of discrete branching populations with random control of the number of productive individuals
• Develops models of populations subject to simultaneous multiple immigrations and emigration and shows how these can be used to produce a model with any desired equilibrium distribution
• Studies discrete series of events that can arise in the process of monitoring one population and how the statistics of these events can be characterized
• Presents methods for numerical simulation of dynamic populations, giving examples of algorithms that can be used to simulate most of the processes considered in the book, as well as computational intensive methods for estimating the main characteristics of these processes