  Logistic functions are good models of biological population growth. They are
also popular in marketing in modelling demand-supply curves and in a different
context, to chart the sales of new products over time. Delays being inherent in
any biological system, we seek to analyse the effect of delays on the growth of
populations governed by the logistic equation. In this paper, the local
stability analysis, rate of convergence and local bifurcation analysis of the
logistic equation with one and two delays is carried out and it can be extended
to a system with multiple delays. Since fluctuating populations are susceptible
to extinction due to sudden and unforeseen environmental disturbances, a
knowledge of the conditions in which the population density is fluctuating or
stable is of great interest in planning and designing control as well as
management strategies.
