In this paper, we establish the conditions of the occurrence of the local bifurcations, such as saddle node, transcritical and pitchfork, of all equilibrium points of an eco-epidemiological model consisting of a prey-predator model with SI (susceptible-infected) epidemic diseases in prey population only and a refuge-stage structure in the predators. It is observed that there is a transcritical bifurcation near the axial and free predator equilibrium points, near disease-free equilibrium point is a saddle-node bifurcation and near positive (coexistence) equilibrium point is a saddle-node bifurcation, a transcritical bifurcation and a pitchfork bifurcation. Further investigations for Hopf bifurcation near coexistence equilibrium point

Because of its importance in the world, Middle East area is one of the competition areas between the major and great powers. Among those powers are Russia and United states of America. The competition between these two powers to control Syria is greatly clear since 2011. It is also one of the most important subject in the international politics. This importance comes from the importance of Russia and the United States of America besides importance of the Middle East. At the end of the cold war, United States of America maintained its role in the international system and became the only pole that dominated the international affairs while Russia tried to overcome the challenges inherited from the former Soviet Union, and it succeeded in th

The present paper applies Fanon Psychological reading of the problem of the Black introduced in his book Black Skin White Mask to Crooks, The black Character in John Steinbeck’s  Of Mice and Men. The analysis of this character infers three essential points regarding the artistic achievement of the author. First, he uses a fictional character that offers a psychological interpretation of the black problem of alienation and loneliness in a way that does not disgrace the black. Second, he applies Fanon’s way of showing the various attitudes that the black adopts in contact with the white society. Third, he affirms that the black inferiority complex comes as a result of double proc

The issue of the public in the directions and theories of the theater director in the world theater, especially after the emergence of realism and the crystallization of the term direction and the definition of the role of the director in 1850 AD by the Duke Max Mengen took different paths to the Greek, Roman and even Elizabethan audience because it was here subjected to the theatrical equation from  its production and presentation due to the fact that the  theatrical performance is a technical artistic production, and the audience participation, watching and consumption, and here the participation of the audience was subjected to three directions:  the enlightenment in the sense of arousing sense, the incitement in the se

The current research aims to find out the role of transformational leadership in decision-making wise, to cope with the decline in some of the banking performance indicators as a result of the absence of the modern concept of the leadership of those so-called B (Transformational Leadership) and preventing benefit from the advantages in the banks, and I test the research on a sample of the Iraqi private banks through applied to a sample (77) Mdermvud and Associate Director and Advisor to the Chairman of the Department, the distributors (7) banks, and used the head of the questionnaire as a tool to collect data and information. For the purpose of access to the results, the research sought to test two hypotheses two main hypotheses sub pop

The contribution rate of tax revenues in the federal budget is very small compared to the rate of contribution of oil revenues and this leads to negative repercussions on the Iraqi economy and the budget becomes a prisoner of high and low oil prices, and this is a problem that needs to be studied to know the extent of the impact of economic and political decisions on the size of tax revenue and The research goal is determined in studying the effect of amending the Unified Law No (26) of 2019 on the size of annual tax revenues .                                   &

The study aimed to clarify the meanings learned and inferred from reading books، letters and messages in Surat Al-Qur’an. The inductive method، the analytical method، and the deductive method، One of the most prominent results of the research: that the multiplicity of Qur’anic readings produces a variety and expansion in the meaning that has a clear impact on the interpretation by clarifying the meaning of the verse.