Dynamic systems in many branches of science and industry are often perturbed by various types of environmental noise. Analysis of this class of models are very popular among researchers. In this paper, we present a method for approximating solution of fractional-order stochastic delay differential equations driven by Brownian motion. The fractional derivatives are considered in the Caputo sense...

Population dynamics are often subject to random independent changes in the environment. For the two strategy stochastic replicator dynamic, we assume that stochastic changes in the environment replace the payoffs and variance. This is modeled by a continuous time Markov chain in a finite atom space. We establish conditions for this dynamic to have an analogous characterization of the long-run b...

in recent decades, information technology systems and tools play an essential role in improving the method for responding the requests from managers. decision support system as an important tool has the fundamental role in organizations. in the team of software project allocating people to tasks has a noticeable effect on profits. a decision support system can help managers in making appropriat...

Graph transformation systems (GTS) have been proposed for high-level stochastic modelling of dynamic systems and networks. The resulting systems can be described as semi-Markov processes with graphs as states and transformations as transitions. The operational semantics of such processes can be explored through stochastic simulation. In this paper, we develop the basic theory of stochastic grap...

We present a decision support system for the fermentation step in winemaking based on a mathematical model of kinetics of alcoholic fermentation. We used an optimization technique in order to predict the fermentation step. This optimization technique was carried out using the method of factorial analysis. The first interesting application of this system, rather than existing ones, comes from th...

During sleep, the electroencephalogram exhibits synchronized slow waves that desynchronize when animals awaken [desynchronized states (DSs)]. During slow-wave states, the membrane potentials of cortical neurons oscillate between discrete depolarized states ("Up states") and periods of hyperpolarization ("Down states"). To determine the role of corticothalamic loops in generating Up/Down oscilla...

In this paper we present a scenario analysis approach to perform water system planning and management under climatic and hydrological uncertainty. A DSS with a a graphical interface allows the user a friendly data-input phase and results analysis. Different generation techniques can be used to set up and analyze a number of scenarios. Uncertainty is modeled by a scenario-tree in a multistage en...