A deterministic mathematical model for the spread of alcoholism is designed and analysed to gain insights into this growing health and social problem. The reproduction number and equilibria states of the model are determined and their local asymptotic stabilities investigated. Analysis of the reproduction number have shown conditions under which encouraging and supporting moderate drinkers to q...

This talk presents our researches on the application of mathematical morphology, which is a mathematical framework of quatitative image manipulations, to the characterization and manipulation of textures. A texture is considered as a repetitive arrangement of homothetic magnifications of a small object called primitive. The shape and arrangement of the primitive are estimated by a method based ...

Mathematical modelling in applied analysis refers to exploiting mathematical knowledge about (classes of basic) equations with the aim to describe and analyse phenomena that appear in the natural and technical sciences. As an example we will show that low dimensional models can be derived for phenomena that appear in (perturbations of) dynamical Poisson systems with symmetries. We show that the...

Mathematical Analysis of Antibody Rhythms Bin Zhao1,2, Lichun Liang1 1College of Science, Northwest A&F University, Yangling, Shaanxi, China. 2School of Basic Medical Sciences, Hubei University of Medicine, Shiyan, China. Corresponding Author: Bin Zhao, College of Science, Northwest Agriculture and Forestry University, Yangling, 712100, China, Tel: +86 13

Given a set of entities, Cluster Analysis aims at finding subsets, called clusters, which are homogeneous and/or well separated. As many types of clustering and criteria for homogeneity or separation are of interest, this is a vast field. A survey is given from a mathematical programming viewpoint. Steps of a clustering study, types of clustering and criteria are discussed. Then algorithms for ...

In this paper, we introduce some mathematical features of the concentration factor, a method to extract the information of the conditions of student mental models by analyzing the distributions of students’ responses on multiple-choice questions. We discuss the state density of the concentration factor, the random attractor of SC states, and the transformations between the concentration factor ...

Corrosion is all around us and can affect our lives in many ways, because metals are so widely used in our world. Corrosion-related failures in the industries often result in catastrophic failures. Corrosion is not only dangerous, but costly. The cost of corrosion is estimated to be huge and protecting or reducing corrosion is one of the most important problems in engineering. Many attempts hav...

In the central nervous system, alpha-motor neurons play a key role in the chain that results in muscles producing force. A new non-invasive technique to measure the electrical activity involved with force production called High Density Surface Electromyography (HDsEMG) has been proven to be effective in providing novel clinical information on the way alpha-motor neurons control the muscles. Thi...

A behavior system consists of the components and control programs necessary to establish a particular behavior in a robotic agent The paper proposes a mathematical approach for the analysis of behavior systems The approach rests on viewing a behavior system as a dynamical system whose equilibrium state is attained when the behavior it is responsible for is achieved