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

This study aimed to clarify the legal provisions concerning the senses and their role in financial transactions, in the light of the definition of all the vocabulary presented by this study (senses - the definition of senses apparent: they are hearing - sight - smell - taste - touch) in the first section. The study deals with the second topic of the reference and writing denominator phrase and includes two requirements, the first requirement: the establishment of the denominator of the phrase, which has two branches: Section I: signal Akhras. Section II: Signal of the Spokesman.
 The second requirement is that writing takes the place of the phrase in financial transactions. The owners argue that the sale of the blind is correct a

Phraseological or phraseological turn - unchanged in structure and composition, integral in meaning and lexically indivisible phrase or sentence, performing the function of a separate dictionary unit - lexemes. Idioms are found in any language of the world. But such a number of winged phrases, as in Russian, is nowhere else. Idioms play a role in displaying the national-cultural characteristics of any language. They very clearly and accurately reflect the characteristics of the perception of the world, the characteristic features of the material and spiritual life of native speakers, his mentality.

The role of the climate in the development of the performance of the administrative bodies of sports clubs

The current research aims to verify the role of strategic intelligence as an explanatory variable in organizational success as a respondent variable in the colleges of the University of Fallujah, the research community. (Dean, Associate Dean, Section Head, Division Officer, Unit Officer), The researcher used the questionnaire as the main tool to collect data that included (50) items, in addition to using personal interviews and field observations as aids in data collection. The researcher relied on statistical programs (SPSS V.25; Excel V (16) In the treatment and analysis of data through the use of the most appropriate statistical methods (arithmetic mean, standard deviation, difference coefficient, determinatio

The research seeks to find out the extent of the coverage of the Mosul press to the issues of psychological and social effects of the organization "IS" on the community of Mosul, by analyzing the content of the newspapers “Economic City” and “Mosul News”. As well as to stand at the types of psychological and social effects and their repercussions on the Mosul community including figures, statistics and evidence that were covered in the theoretical study of these topics.

This study is the first scientific diagnosis to reveal the size and types of psychological and social effects of the “ISIS” organization  through what was monitored by the Mosul press. The study seeks to draw the attention of officials, decision-m

The business environment is witnessing tremendous developments in the field of production and technology, which requires the development of production methods to go in line with these developments and the increasing competition, which has gone beyond the economic aspects to extend to the environmental aspects, as economic units tended to adopt a cleaner production strategy and through what they achieve by producing environmentally friendly products and achieving economic efficiency. Reducing costs, providing a safe and clean environment for workers, and reducing waste from production operations.

Music has a significant role in shaping the artistical, musical and national identity of individuals. The resources of the cultural identity can be divers according to the multiplicity of the social component. In Iraq, there is a unique ethnical and sacred diversity, which is rather than playing a positive role in shaping the cultural and national identity, on contrast, it is establishing to create many local identities in the same society. Each identity reflects the culture of individual ethnic or religious group, which makes people make their own decisions according to their background rather than according to the benefit of the country.Music as an important cultural source has a social function in forming an artistical identity with n

This research seeks to study the role of military bases in activating defense diplomacy, with a focus on studying the case of France in the African continent, which relied on its military bases as a tool to implement its foreign policy. The research explains the concept of defense diplomacy and its relationship to military bases as an effective tool to strengthening bilateral relations between the state's parties. The research focuses on studying the effectiveness of military bases as a tool for activating French defense diplomacy, and studying the goals that French foreign policy seeks to achieve through its intervention or presence in the African continent. In addition to the geopolitical reasons that prompted France to move to

The process of employing modern technology in a consistent manner is what the researcher is interested in, and the psychological role of the sound effect in enhancing psychopathic representations in cinematic characters, which had a wide resonance in the field of cinematic films, and after the predominance of digital technology in the production of contemporary films, the sound effect has a higher efficiency And a good level of advanced aesthetic and dramatic expression in film employment, so many directors resorted to this type of films by using various new and advanced techniques and technological programs in their industry, since the traditional construction does not achieve the dazzling that the viewer desires.

Accordingly, th