This Demonstration depicts processes or chemical reactions starting at zero initial concentration. The process or reaction is governed by two competing mechanisms, one of growth or generation and the other of mortality or degradation. The concentration,
, is the product of the growth component,
, representing the system's potential for uninhibited growth, and a decay factor,
, which represents the decay component. Each has a characteristic time scale,
, and "rate parameter",
, whose values along with
can be modified using sliders.
is the maximum possible concentration that could be attained had no degradation taken place. The Demonstration plots the functions
together in green and the corresponding
in purple. The maxima of the
axes can also be adjusted with sliders. The equations for
appear above the plots.