The dynamics of stochastic mono-molecular reaction systems in stochastic environments

Stochastic dynamics and relaxation in molecular systems

Stochastic Decision Making in Manufacturing Environments

Decision making plays an important role in economics, psychology, philosophy, mathematics, statistics and many other fields. In each field, decision making consists of identifying the values, uncertainties and other issues that define the decision. In any field, the nature of the decisions is affected by environmental characteristics. In this paper, we are considered the production planning pro...

Stochastic off-lattice modeling of molecular self-assembly in crowded environments by Green's function reaction dynamics.

The environment inside a living cell is dramatically different from that found in in vitro models, presenting a problem for computational models of biochemistry that are only beginning to capture these differences. This deviation between idealized in vitro models and more realistic intracellular conditions is particularly problematic for models of molecular self-assembly, but also specifically ...

Efficiency and Effectiveness with interval indices in stochastic environments

Non-parametric DEA is a technique on the basic of mathematical programming to determine the efficiency of homological decision making units. DEA models changes in demand cause changes in variations in output levels and also will cause changes in a firm’s inefficiency. Often a firm can adjust input influencing on the output level. Models designed with technique on DEA that considers changes in d...

Stochastic functional population dynamics with jumps

In this paper we use a class of stochastic functional Kolmogorov-type model with jumps to describe the evolutions of population dynamics. By constructing a special Lyapunov function, we show that the stochastic functional differential equation associated with our model admits a unique global solution in the positive orthant, and, by the exponential martingale inequality with jumps, we dis...