Modeling with Itô Stochastic Differential Equations

Dynamical systems with random influences occur throughout the physical, biological, and social sciences. By carefully studying a randomly varying system over a small time interval, a discrete shastic process model can be constructed. Next, letting the time interval shrink to zero, an Ito shastic differential equation model for the dynamical system is obtained.

This modeling procedure is thoroughly explained and illustrated for randomly varying systems in population biology, chemistry, phys...