10 - Growth and Decay Processes

Abstract

This chapter discusses simple growth processes using discrete time or difference equation models. It focuses on continuous growth processes described by ordinary differential equations. Models representing growth processes are non-linear, the non-linearity representing the limiting nature of growth. Therefore, growth processes are characterized by non-linear differential equations. Growth and decay processes are important in modeling complex systems. Growth of population and pollution, growth of cancer cells, growth of poverty, and unrest are the problems of interest. Whenever and wherever there is a change, it can be regarded as a growth or decay process. Any growth or decay process can be treated as discrete or continuous. The choice depends upon one's viewpoint, the time duration involved, and the resolution level used. Some of the simplest growth processes can be found in everyday experience.