The
stochastic model of soil water dynamics used in this study was the one modified by Laio et al.
Ge, "A novel 3D regular-shaped geometry-based
stochastic model for non-isotropic MIMO mobile-to-mobile channels," in Proc.
As Arium continues to evolve, the
stochastic model will enable companies to understand and manage their casualty risk more thoroughly."
The disease dynamic extinction thresholds from the
stochastic model were compared with the corresponding deterministic threshold.
Section 2 provides the physical and
stochastic model in a bottom up way from elementary bricks by journey phase to individual journey time.
With the definition of two states of communication networks, high-delay state and low-delay state, it was discovered that the transition model of the two delay states could be predicted very precisely using a certain molecule's
stochastic model of the state of transition between a high-energy state and a low-energy state.
When the fast processes of a continuous system are modeled by white noise--as is common for physical applications--the resulting
stochastic model converges to a Stratonovich stochastic differential equation (Wong and Zakai 1965; Papanicolaou and Kohler 1974; Gardiner 1985; Penland 2003a,b).
In this section, we show that not only does the
stochastic model (12) have a unique global solution but also the solution will remain within T whenever it starts from there.
In the next section we propose two
stochastic models: the first one is an endemic model in which each person infected from outside source contributes a random amount of infectivity to the force of infectivity (or infectivity function) which decreases at a constant rate over the time.
Figure 1(a) shows the periodicity of the nonautonomous
stochastic model (3) with [[sigma].sub.1] = 0 and [[sigma].sub.2] = 0.
However, energy efficiency of the
stochastic model is considerably worse than that of the grid model.
In this paper, we always assume that
stochastic model (6) is defined on probability space ([OMEGA], F,[{[F.sub.t]}.sub.t[greater than or equal to]0],P).