  Modeling of process for reaction kinetics is a fashionable subject of
publications. The meaning of both the mortality and fertility terms are
mathematically analyzed in details involving variation of their power
exponents. We developed an analogue of the KJMA equation under non-isothermal
conditions that describes the dependence of degree of transformation
{\alpha}(T) at a constant rate ,q, of heating with characteristic temperature
{\theta}(q) and power N. This equation is valid even when the activation energy
of the process is not constant. We demonstrate that reliable information about
the activation energy is obtained when the experimental data are plotted in the
following coordinates: log q (heating rate) against log Tp (Peak Temperature).
