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 reason for studying (The secret of Repentance and Confession in Christianity) goes back to the deep roots of repentance in all religions, specially the three revealed religions, and those who adhere to them. The human psych by nature is incessantly demanding sins and the wrong deeds. It is in need of repentance which God has opened for them. Almighty God is happy when his creatures repent and refrain from sinning. This is the reason for success in life and the hereafter and the principle of the happiness. It is also a condition for the good course. Therefore, man should refrain from sinning and feel regret for committing sins forever.

Review of multidrug sensitivity and resistance in enterococcus

Perhaps masculinity and femininity in our Arabic language are among the linguistic issues that have occupied the attention of researchers, ancient and modern. Many books, works, and research have been written on this subject, but there is still something in it that must be revealed, clarified, and established, as the ancients did not classify the feminine and masculine into real, metaphorical, auditory, analogical,

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In light of the trend of the countries of t

Anaemia is one of the most important problems of malnutrition in the world, especially in countries developing and anemia is associated inextricably important public health and HIV and morbidity and reduced mental capacity This study aims to determine the incidence of anemia for the period 1999-2000 among healthy adults outwardly and its relationship with some variablesjob related study sample included 200 male and 200 Antymn but the cities of Baghdad and Baquba reviewers for central labs

The research studies the melodic and rhythmic characteristics of monologue, in addition to how it was transferred from the Arab homeland to Iraq and   reviewed its most prominent performers, as well as a review     of the monologue types and their propagation in the Arab homeland such as comical, dramatic, and political and guidance monologues. 

The methodological framework included: the problem of the research, the importance of the research and the objective of the research which is to uncover the melodic and rhythmic structure of the monologue in Iraq.   The limits of the research included the objective limit tackling the  art of monologue and the spatial limit which is Baghdad

consideration
In the purposes of faith and destiny