We say that the stochastic gene network is asymptotically stable in probability at the equilibrium point x = 0 if there exists a Lyapunov (power-like) function V(x t)) > 0, with V 0) = 0, in the neighborhood of the equilibrium point such that the expectation of the derivative of V(x t)), E d d t V (x (t ) ) < 0, i.e., the power of the gene network is decreasing.
Results demonstrate that the theoretical predictions capture the mass loss profiles of all three systems, and as the crosslinking density of the initial network was decreased the overall time for complete degradation of the gels was also decreased.
It is evident from Table 3 that for links with higher bandwidths, the ETE delay in the networks is decreasing.
The number of sites with high carrier configuration and density of frequency reuse increase constantly while the distance between base stations of cellular networks is decreasing.
Differential scanning calorimetry showed that the melting temperature and the calculated weight average crystallinity of PCL networks were decreased with a decrease of molecular weight of PCL diols due to the increased crosslinking density.
Possible incentives to support cooperation between the different networks are decreased energy consumption, lower exposure, a longer device life time, lower interference, a higher throughput, a better quality of service, etc.
Such behavior is indicative of a homogeneous polymer network, where initial cross-link scission affords concomitant network swelling; sizable mass loss occurs only when the network connectivity is decreased enough to liberate soluble chains.
In such case, the rate at which the network coverage is decreased can be controlled and be considerably reduced by a proper choice of network parameters ( K S ′ ).
In a single-hop network, reliability is decreased, but the energy consumption is improved.
