In this paper, an SIR epidemic model with an infectious period and a non-linear Beddington-DeAngelis type incidence rate function is considered. The dynamics of this model depend on the reproduction number R0. Accurately, if R0 < 1, we show the global asymptotic stability of the disease-free equilibrium by analyzing the corresponding characteristic equation and using compa...

In this paper, we show that the central limit theorem (CLT) satisfied by the data-driven Multidimensional Increment Ratio (MIR) estimator of the memory parameter d established in Bardet and Dola (2012) for d ∈ (−0.5, 0.5) can be extended to a semiparametric class of Gaussian fractionally integrated processes with memory parameter d ∈ (−0.5, 1.25). Since the asymptotic variance of this CLT can b...

We introduce aligned hierarchies, a low-dimensional representation for music-based data streams, such as recordings of songs or digitized representations of scores. The aligned hierarchies encode all hierarchical decompositions of repeated elements from a high-dimensional and noisy music-based data stream into one object. These aligned hierarchies can be embedded into a classification space wit...

objective(s): vascular calcification is one the major characteristics in patients with various types of chronic inflammatory disorders. mirnas have been shown to be involved in many normal biological functions as well as diseases; however, their role in vascular calcification has not received much attention. materials and methods: in the current study, we built a vascular calcification rat mode...

Systems for the archival of musical documents digitally and development of digital music libraries are currently being researched and developed extensively. However, adapting these systems for the archival and retrieval of Malaysian music materials might not be as straightforward due to the distinct differences in musical structure and modes of non-Western music. This paper covers the motivatio...

The statistical analysis of spatial data is usually done under Gaussian assumption for the underlying random field model. When this assumption is not satisfied, block bootstrap methods can be used to analyze spatial data. One of the crucial problems in this setting is specifying the block sizes. In this paper, we present asymptotic optimal block size for separate block bootstrap to estimate the...

In this paper, we study dynamic commensalism model with nonmonotic functional response, density dependent birth rates on time scales and derive sufficient conditions for the permanence. We also establish the existence and uniform asymptotic stability of unique almost periodic positive solution of the model by using Lyapunov functional method.

1 Einleitung ROLAND KASCHEK hat in seinem Beitrag „Schwachstellen einer Analyse des Modellbegriffs“ meinen Beitrag „Zum Realitätsbezug von Informationsmodellen“ einer pointierten Kritik unterzogen. Der Stellungnahme zu den einzelnen Kritikpunkten sollen drei Anmerkungen vorangestellt werden. Erstens wird ein kritischer Diskurs zu diesem Thema sehr begrüßt, da das Verständnis von Informationsmod...

Background: MicroRNAs are small noncoding RNAs that regulate gene expression and involve in many cellular and physiological mechanisems. Recent studies have revealed that dysregulation of microRNAs might contribute to autoimmune disorders such as multiple sclerosis. Based on these findings, we examined the potential role of miR-320 isoforms, miR-320-3p and miR-320-5p, in the context of autoimmu...