Given that the climate, topography and initial soil characteristics were the same for each plot, the PDF of the relative soil water content simulated by the stochastic model
for each plot was only affected by vegetation type.
Laurenson, "Novel 3D geometry-based stochastic models
for non-isotropic MIMO vehicle-to-vehicle channels," IEEE Transactions on Wireless Communications, vol.
Using the extended model, we will formulate the basic reproductive number [R.sub.0] and use it to compare the disease dynamics of the deterministic and stochastic models
in order to determine the effect of randomness in malaria transmission dynamics.
When passenger walking speed v is a distributed variable, the stochastic model
is integrated with respect to walking speed as well.
Caption: Figure 2: The solution (S(t), [I.sub.1](t), [I.sub.2](t)) = (0.3,0.25,0.25) to the nonautonomous stochastic model
Caption: FIGURE 1: The path of lit) for the stochastic model
(6) with parameters in Example 1, compared to the corresponding deterministic model.
reliability: Model reliability denotes the probability P([G.sub.i]), where [G.sub.i] is the event that the model at Level i is valid; and the stochastic model
reliability defines P([G.sub.i]) as a stochastic variable with PDF f(P([G.sub.i])) which has been explained earlier;
et al., "Application of Stochastic Model
Predictive Control to Modeling Driver Steering Skills," SAE Int.
In section 2 we first improve the flocking estimates for general symmetric communication rates in  and then introduce an asymmetric stochastic model
. For the asymmetric communication rate between agents, we explicitly obtain all statistical quantities about the random dynamical system which leads to time-asymptotic strong flocking.
The number of seeds remaining in the sample at any time t can be measured using the following stochastic model
for a two-state germination process: E[M1 (t )] M 0 exp (1t ) (Tseng and Hsu, 1989).
1-4, for all resins investigated in this study as the photoinitiator loading concentration increases, the stochastic model
's predictions agree with the trend of the experimental measurements.
To verify the validity of the stochastic model
, we have applied PRISM to implement the experiment and present the result.