How to create Heston Stochastic Volatility Models in MATLAB

From the Matlab Econometric toolbox help system:

The Heston (heston) class derives directly from SDE from Drift and Diffusion (SDEDDO). Each Heston model is a bivariate composite model, consisting of two coupled univariate models:
(10-5)

(10-6)

Equation 10-5 is typically associated with a price process. Equation 10-6 represents the evolution of the price process’ variance. Models of type heston are typically used to price equity options.

Example: Heston Models. Create a heston object to represent the model:

obj = heston (0.1, 0.2, 0.1, 0.05)
obj =

Class HESTON: Heston Bi-Variate Stochastic Volatility
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Dimensions: State = 2, Brownian = 2
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StartTime: 0
StartState: 1 (2×1 double array)
Correlation: 2×2 diagonal double array
Drift: drift rate function F(t,X(t))
Diffusion: diffusion rate function G(t,X(t))
Simulation: simulation method/function simByEuler
Return: 0.1
Speed: 0.2
Level: 0.1
Volatility: 0.05