Dynamic Analysis of a Unified Multivariate Counting Process and Its Asymptotic Behavior

Asymptotic Behavior of Multivariate Reward Processes with Nonlinear Reward Functions

Permanency and Asymptotic Behavior of The Generalized Lotka-Volterra Food Chain System

In the present paper a generalized Lotka-Volterra food chain system has been studied and also its dynamic behavior such as locally asymptotic stability has been analyzed in case of existing interspecies competition. Furthermore, it has been shown that the said system is permanent (in the sense of boundedness and uniformly persistent). Finally, it is proved that the nontrivial equilibrium point...

Mixed Qualitative/Quantitative Dynamic Simulation of Processing Systems

In this article the methodology proposed by Li and Wang for mixed qualitative and quantitative modeling and simulation of temporal behavior of processing unit is reexamined and extended to more complex case. The main issue of their approach considers the multivariate statistics of principal component analysis (PCA), along with clustered fuzzy digraphs and reasoning. The PCA and fuz...

Model Selection Based on Tracking Interval Under Unified Hybrid Censored Samples

The aim of statistical modeling is to identify the model that most closely approximates the underlying process. Akaike information criterion (AIC) is commonly used for model selection but the precise value of AIC has no direct interpretation. In this paper we use a normalization of a difference of Akaike criteria in comparing between the two rival models under unified hybrid cens...

Pull-in behavior analysis of vibrating functionally graded micro-cantilevers under suddenly DC voltage

The present research attempts to explain dynamic pull-in instability of functionally graded micro-cantilevers actuated by step DC voltage while the fringing-field effect is taken into account in the vibrational equation of motion. By employing modern asymptotic approach namely Homotopy Perturbation Method with an auxiliary term, high-order frequency-amplitude relation is obtained, then the infl...