Preliminaries and formulution of the stochastic equations -- Some random integral equations of the Volterra type with applications -- Approximate solution of the random Volterra integral equation and an application to population growth modeling -- Stochastic integral equaltion of the Fredholm type and some applications -- Random discrete Fredholm and Volterra systems -- Nonlinear perturbed random integral eqautions and applications to biological systems -- On a nonlinear random integral equation with application to stochastic chemical kinetics -- Stochastic integral equations of the Ito type -- Stochastic nonlinear differential systems -- Stochastic integrodifferential systems.