Continuous-time birth-death Markov processes serve as useful models in population biology. When the birth-death rates are nonlinear, the time evolution of the first n order moments of the population is not closed, in the sense that it depends on moments of order higher than n. For analysis purpose, the time evolution of the first n order moments is often made to be closed by approximating these...

In this paper we present a hydrodynamical model which describes hole motion in silicon. The model is based on the moment method and the closure of the system of moment equations is obtained by using the maximum entropy principle (hereafter MEP). The heavy, light and split-off valence bands are considered. The first two are described by taking into account their warped shape, while for the split...

*Correspondence: [email protected]; [email protected] 2Department of Mathematical Sciences, Loughborough University, Loughborough, Leicestershire LE11 3TU, UK Full list of author information is available at the end of the article Abstract This paper is devoted to the study of reproduction of asymptotic boundedness in the second moment and small moments of stochastic differential equations by th...

        Sensitivity analysis of structures considering their nonlinear behavior has recently been an important process in optimal design of them based on new design concepts such as Performance-Based Design (PBD). The main objective of this research is to develop an efficient and applicable method for nonlinear sensitivity analysis of Reinforcement Concrete Moment Resisting Frames (RCMRF) accou...

the kinematics and dynamics of two industrial cooperating robots are presented in this paper. the noc (natural orthogonal complement) method is used to derive the dynamical equations for the motion of two cooperating robots. the joint torques of the two robots are determined based on the optimization techniques in order to obtain unique solution for joint torques. to this end, minimizing the cr...