The interplay of predation, competition between species and harvesting is one of the most critical aspects of the environment. This paper involves exploring the dynamics of four species' interactions. The system includes two competitive prey and two predators; the first prey is preyed on by the first predator, with the former representing an additional food source for the latter. While the second prey is not exposed to predation but rather is exposed to the harvest. The existence of possible equilibria is found. Conditions of local and global stability for the equilibria are derived. To corroborate our findings, we constructed time series to illustrate the existence and the stability of equilibria numerically by varying the different values

In this paper, the general framework for calculating the stability of equilibria, Hopf bifurcation of a delayed prey-predator system with an SI type of disease in the prey population, is investigated. The impact of the incubation period delay on disease transmission utilizing a nonlinear incidence rate was taken into account. For the purpose of explaining the predation process, a modified Holling type II functional response was used. First, the existence, uniform boundedness, and positivity of the solutions of the considered model system, along with the behavior of equilibria and the existence of Hopf bifurcation, are studied. The critical values of the delay parameter for which stability switches and the nature of the Hopf bifurcat

The research aims to find out the effect of Cognitive Acceleration strategy and random excitement strategy in achievement of geography material and developing the reflective thinking for students of literary fifth class . 

  the researcher depended a partial control experimental design with the three groups(the competence groups of the pre & post tests), The sample is deliberately selected  from first AL-Rusafah Directorate General of Education in Baghdad.  AL.fardoos Interme

   Thsst researcher problem of delays faced by researchers are all waiting to evaluate their standards by the experts who must take their views to extract the truth Virtual important step first step in building standards whatsoever, then the difference of opinion among experts about the paragraphs Whatever the scope of their functions, leading to confusion in maintaining these paragraphs or delete? Or ignore the views and opinion of the researcher to maintain the same? Or as agreed upon with the supervisor if he was a student? Especially if the concepts of a modern new building.
   Therefore, the researcher sought to try to find a solution to her problem to conduct an experiment to test building steps

In the name of of Allah the Merciful

Introduction:

Praise be to Allah, Lord of the Worlds, and prayers and peace be upon our master Muhammad and his family and companions.

After

I have looked at a part of the jurisprudence of Hajj jurisprudence, which is needed now, especially after it facilitated travel to perform Hajj and Umrah, so the need was an advocate and a list for writing in it, which is beneficial to Hajj, Umrah and the guide.

And this important part is the things that contravene the woman's man in the Hajj and after the search and tracking found that there are ten things that get the violati

In the present study, multi-walled carbon nanotubes (MWCNTs) with outside diameters of< 8 nm and 20−30 nm were covalently functionalized with β-Alanine using a novel synthesis procedure. The functionalization process was proved successful using Raman spectroscopy, FTIR, and TEM. Utilizing the two-step method with ultrasonication, the MWCNTs treated with β-Alanine (Ala-MWCNTs) with weight concentrations of 0.025%, 0.05%, 0.075%, and 0.1% were dispersed in distilled water to prepare water-based nanofluids. The aqueous colloidal dispersions of pristine MWCNTs were unstable. While for Ala-MWCNTs and after> 50 days from preparation, higher colloidal stability was obtained up to relative concentration of 0.955 and 0.939 for the 0.075-wt% samp

The issue of dignity is one of the topics that do not pass as long as the earths and the heavens remain; Because the earth is not devoid of the righteous, the believers, the saints, and the pious, and these do not cease from them aid, dignity, insight, or good vision, and from here the authorship in this section was continuous; Because the people’s need for it is confirmed as time progresses, and in that, Ibn Taymiyyah says in the sum of his fatwas, “And from what it should be known is that dignities may be according to the man’s need, so if the weak needs them Faith or the needy, he is given from it what strengthens his faith and fulfills his needs, and he who is more complete is the guardianship of God than him. He is independent

Displacement is a problem that worries the human conscience and has received the attention of the international community. Furthermore, it has become one of the most urgent issues nowadays, especially when the number of displaced people in different countries are increased because of the causes of displacement and their political, economic, environmental, social and psychological effects. Iraq is one of the countries where displacement has taken place in several governorates, according to United Nations and International Organization for Migration (IOM), Iraq is considered the second largest country in the world after Syria in terms of the number of displaced people in 2015. Gratitude, a positive emotional response to benevolence, is a m