This study presents a mathematical model describing the interaction of gut bacteria in the participation of probiotics and antibiotics, assuming that some good bacteria become harmful through mutations due to antibiotic exposure. The qualitative analysis exposes twelve equilibrium points, such as a good-bacteria equilibrium, a bad-bacteria equilibrium, and a coexisting endemic equilibrium in which both bacteria exist while being exposed to antibiotics. The theory of the Sotomayor theorem is applied to study the local bifurcation around all possible equilibrium points. It’s noticed that the transcritical and saddle-node bifurcation could occur near some of the system’s equilibrium points, while pitchfork bifurcation cannot be accrued at

The possibility of implementing smart mobility in the traditional city: Studying the possibility of establishing an intelligent transportation system in the city center of Kadhimiya

The location element indispensable in the film, it is the container that meets the all the elements of the artwork, and place in the cinema topic or space as the existence of a material perceptible senses, is one of the key elements in the drama because he is one of the conditions to achieve supply drama which, with the nature of the vehicle because it is linked to reality the real and the reality of mental imagined, and returns the importance of the place mentally to change the pattern in the building's traditional place in the world of the film, is that the space under the facts of the events imagined or mental and determined by the processors directorial, and where mental in the movies but found himself a world with a pace sometimes s

The Main think that be kept by the speech communication as a concept traditionally being expressed on the subject or a certain idea of ​​a goal came on as needed functional addressed to recipients of benefits or likely to benefit from those rhetorical message through a speech importance and priority of the effect of not less than the effect of that letter, in science content role ends once you absorb it mentally, either in the art of design Valamadmon intellectual embodied through its interaction with the overall shape of the finished design, and often content is associated in the mind of the receiver through a letter communicative linked to the sense or the goal that meant the designer, and try to identify and explain. And meaning i

dance that reflect deferent sides from life human , in this search ensure for the causation can the expressionistic dancing be development acting actor in Iraqis theatre ? so this search concept of section one composed of the search problem  , and important  the search  and need it , aimed the search , lines search it composed of the lines time ,  place , and lines subject , and the searcher ended this section with practical terms .   Section tow – theatrical lines form that composed of part one the dance kinds: the expressionistic dancing, is very important in analyses the symbol .                     

إن موضوع الشرق الأوسط بشكل عام اتخذ أهمية كبيرة في الكتابات والمؤلفات التي صدرت منذ بداية النصف الأول من عقد التسعينات من القرن المنصرم مع بدايات مشاريع السلام التي أعقبت انهيار الاتحاد السوفيتي وتغير الخارطة السياسية والاقتصادية والايديولوجية للعالم .وعلى الرغم ان المصطلح ليس بجديد الا ان تعابير المصطلح وددلالاته تتغير مع تغير موازين القوى واتجاهات المصالح. إذ انتقل من مصطلح جغرافي الى

This research aims to focus on the reality of the imbalance of the balance of trade structure in order to improve it and determine the size of the imbalance as a result of dependence on one commodity, namely crude oil in the structure of exports versus the diversity of the structure of imports of various goods and goods.

    In order to achieve that goal, a deductive approach was adopted, which included a shift from general theory data to special applications.

   We have reached through the research to a number of conclusions, most notably the effectiveness of public spending in correcting the imbalance of the balance of trade structure during the study pe

Is astronomy in the Abbasid era one of the sciences that Muslims developed at that time? The restriction of students at the hands of a large number of students, which increased the development and increase the value of monitoring mechanisms and their outstanding efforts in support and development of the Arab civilization of Islam