In this paper, a Cholera epidemic model is proposed and studied analytically as well as numerically. It is assumed that the disease is transmitted by contact with Vibrio cholerae and infected person according to dose-response function. However, the saturated treatment function is used to describe the recovery process. Moreover, the vaccine against the disease is assumed to be utterly ineffective. The existence, uniqueness and boundedness of the solution of the proposed model are discussed. All possible equilibrium points and the basic reproduction number are determined. The local stability and persistence conditions are established. Lyapunov method and the second additive compound matrix are used to study the global stability of the system.

Background:

Let M be a prime Γ-ring satisfying abc  abc for all a,b,cM and
,  with center Z, and U be a Lie (Jordan) ideal. A mapping d :M M
is called Γ- centralizing if u d u Z  [ , ( )] for all uU and  .In this paper
, we studied Lie and Jordan ideal in a prime Γ - ring M together with Γ -
centralizing derivations on U.

In a world that is accelerating day after day in the context of technical globalization, this speed appeared in the issue of electronic currency trading, which is linked to banks all over the world, then the virtual bitcoin coin appeared, and its place is the Internet, and contains an encryption system that is not related to the center or the bank. This coin spread widely and was invested by major companies.

In legislative terms, this currency was not granted its right or proper organization, while jurisprudence was dealt with in a simple way, as this coin needs further studies. This research explains the challenges arising from the concept of this currency to determine the legal nature that enters under it, in addition to discus

Oscillation criterion is investigated for all solutions of the first-order linear neutral differential equations with positive and negative coefficients. Some sufficient conditions are established so that every solution of eq.(1.1) oscillate. Generalizing of some results in [4] and [5] are given. Examples are given to illustrated our main results.

The aim of this research is to find a relation between self-protection and the social - ignorance of the univresity students. In applying the aims of the reaearch, the ressearcher has constructed two scales to measure
self - protection and the social - ignorance. After finding their validity and stability and their discriminative power, the researcher has applied them on a sample of (200) male and female. University students, who were selected randomly. The results of the research has arrived at finding a positive relation between self-protection and social - ignorance.

The researcher has recommended a concentration on the role of parents in raising their childern depending on themselves and making f

         Fibromyalgia (FM) is a common, debilitating, and chronic pain syndrome. The women are more likely to have more tender points on examination than are their male counterparts. Iraqi study showed that FM occur in 1.5% among adolescents of Iraqi population. In compare to normal healthy women, present study was revealed that Iraqi women with FM have significant elevation of calcium (p = 0.003) with significant reduction of magnesium (p = 0.001), whereas the inorganic phosphorous was not differs (p = 0.31). In conclusion, magnesium and calcium would play a crucial role in etiopathogenesis of fibromyalgia.

Key words: calcium, magnesium, phosphorous, Fibromyalgia.

     Increasing need for our youth to effective dialogue at the present time, due to the nature of the era in which live, as it abounded risk of intellectual and cultural invasion.Moreover, the need to ensure that the dialogue between the members of the community to confront the many issues of contemporary society in various fields, politically, socially and economically, culturally and religiouslyThe absence of effective dialogue, or the consequent rejection of many of the negative aspects of social and cultural Kaezzlh coup and inertia and ignore the mental capacity of some non-existent among others.The importance of effective dialogue in being the most important foundations of social life a

     Malnutrition, anemia, and micronutrient deficits may be associated with Enterobius vermicularis infection. Hence, the subject has recently received a lot of attention. The goal of this study was to analyse the nutritional, hematological and micronutrient status of children infected with E. vermicularis. This research was carried out in Baghdad from October 2021 to the end of March 2022. The study comprised 100 children of both sexes, ranging in age from 3-16 years. All individuals nutritional status was assessed using the weight-for-age Z score and the height-for-age Z score. As well as cellophane tape samples and blood samples were collected from all individuals. The cellophane tape samples were examined under microscope f