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

In the present work, bentonite clay was used as an adsorbent for the removal of a new prepared mono azo dye, 4-[6-bromo benzothiazolyl azo] thymol (BTAT) using batch adsorption method. The effect of many factors like adsorption time, adsorbent weight, initial BTAT concentration and temperature has been studied. The equilibrium adsorption data was described using Langmuir and frundlich adsorption isotherm. Based on kinetics study, it was found that the adsorption process follow pseudo second order kinetics. Thermodynamics data such as Gibbes Free energy ∆Gᵒ, entropy ∆Sᵒ and ∆Hᵒ were also determined using Vant Hoff plot.

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The study of images in the cognitive field receives considerable attention by researchers, whether in the field of media and public relations or in other humanities. Due to the great importance in shaping trends of public opinion, especially trends that individuals and the behaviors of people, institutions or ideas are determined by forming images that they hold in their minds towards these persons or institutions. Modern enterprises have realized, whether they are governmental ministries and official departments or non-governmental organizations as civil society organizations, the importance of studying the dominant image in the minds of the masses and make decisions and draw plans to configure this image as these institutions wishes.&n

The theater benefited from the concept of (hypertext) to create different virtual worlds. The four chapters of the research included the first (methodological framework), the second (theoretical framework) came in two sections (hypertext, its concepts and applications) and (hypertextual space in theatrical performance), and the investigations resulted in indicators, including:
1- Hypertext is interacting interactively, but it is organized by correlation as a basic feature that defines it with different manifestations.
2- The hypertext combines the word with other formative elements that reduce a set of tagged information (word, image, light, shadow, color, number).
In the third chapter (research procedures) (Lord play) was

Thanks and gratefulness be to Allah , the most merciful , and prayers be on his messenger and our prophet mohammed and his descendants.The voices have great influence on the diversity of methods of complaints and implication in the Qur'anic expression through
their inspiration , forms and notes. They also have influence on performing semantic and psychological condition of the emitter . that is because of the connection between the complaints and human behavior and emotions , since it is considered as the outlet by which the human expresses his repressed desired and instincts . he resorted to it " when he is helpless physically and mentally i.e. he cannot reach his goals or satisfy his needs." Complaints come from deprivation , social

The Sound of the letter (ق) in the Contemporary Arabic Dialects

دور اللوبي الصهيوني في صنع السياسة الأمريكية

 Drama is one of the means of transmitting human experiences, as it presents within it the life ideas and visions of the spectator, who is subject to their influence on him, robbed of the will in front of its charm and various display arts, which invade him with its dimensions and affect his references, and this art form is based on stories revolving around personalities involved in events that have grown As a result of the struggle of two conflicting opponents, or two opposing forces or emotions generated as a result of a voluntary conflict, as this dramatic conflict represents the most important elements of those events, as it is embodied in an inevitable scene that emerges from other scenes, and this scene is sometimes subject to the

This research is concerned with the study of (the dialectic of the familiar and the unfamiliar in Islamic photography), and it consists of four chapters.
If you dealt with the problem of the research subject (the dialectic of the familiar and the unfamiliar in Islamic photography, as it appeared realistic, familiar forms and strange and strange unfamiliar forms represented in many of the main schools of Islamic photography that emerged in Iraq and Persia and then the Ottomans and the However, Islamic painting still retains those previously witnessed and unseen images, which pose themselves forcibly in the form of many questions that must be faced and studied by investigation, observation, extrapolation and conclusion through scientifi