<p>The objective of this paper is to study the dynamical behavior of an aquatic food web system. A mathematical model that includes nutrients, phytoplankton and zooplankton is proposed and analyzed. It is assumed that, the phytoplankton divided into two compartments namely toxic phytoplankton which produces a toxic substance as a defensive strategy against predation by zooplankton, and a nontoxic phytoplankton. All the feeding processes in this food web are formulating according to the Lotka-Volterra functional response. This model is represented mathematically by the set of nonlinear differential equations. The existence, uniqueness and boundedness of the solution of this model are investigated. The local and global stability

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

Analysis the economic and financial phenomena and other requires to build the appropriate model, which represents the causal relations between factors. The operation building of the model depends on Imaging conditions and factors surrounding an in mathematical formula and the Researchers target to build that formula appropriately. Classical linear regression models are an important statistical tool, but used in a limited way, where is assumed that the relationship between the variables illustrations and response variables identifiable. To expand the representation of relationships between variables that represent the phenomenon under discussion we used Varying Coefficient Models

 We conclude that this study has dealt with an important aspect of the book that was not clearly defined in the book as it was derived through the book's translations, namely, the extraction of those urban structures of the city of Baghdad, which were of great importance in the religious, cultural, economic and social life at that time, The important link that reflected the development of the Islamic city in general and Baghdad in particular, as he addressed such urban facilities through the translations of the book that did not offer the outline or information about those facilities, but only the name only, and here lies the difficulty in addressing Such as T. As subjects because they need the most accurate analysis of facilities t

Abstract

Indeed, being busy with the understanding of religion is the best sort of worship that the almighty God has given each period of time a number of scholars and wise men. They receive what has been passed down to them from their great ancestors, and those who are willing to learn will learn, their students preserve their knowledge through teaching and writing. Thus, the scholars were pioneers in this field due to the value and importance of their knowledge. They have strived in learning, explaining, and writing new subjects.

One of those scholars is sheikh (Abdulrahman Al-Penjweni) who passed away 1319 AH in one of the villages of the city of Sulaimani in Iraq. He was one of the wisest scholars, a br

أن الثورة الرقمية أصبحت اليوم واقع حتمي نعيشه من حيث القت بظلالها على مختلف جوانب الحياة، ولم يخل المسرح من هذا التأثير وخاصة في ظهور ملامح ما بعد الحداثة بكل ما تحملهُ من رؤى فكرية وفلسفية وجمالية، مع ذلك التطور التكنولوجي في هذا السياق يسعى المسرحيون والمخرجون والممثلون الى تأسيس علاقات فاعلة مع شبكات الانترنيت والوسائط الرقمية مما ظهر العديد من المواقع المهتمة بالمسرح. من هنا ظهرت اهمية الربط بين الث

This research aims to identify the impact of the selective model in acquiring the concepts of Kurdish grammar among female students in the eighth grade, and to achieve the goal of research, the researcher selected the experimental design with partial control  and dimensional testing; the sample includes basic schools in the Chim district of Chamal/ Sulaymaniyah and randomly selected the basic school (Maha Bad) to be the field of application of the experiment and the random drawing method was chosen: two out of three sections and the number of students of the two sections is (75) students; section (C) represents the experimental group that studied the rules according to the selective model and its number is (37) students, while secti

One of the globalization results is (VAT) , so it is important to consider its        results and impact on the tax system.    

     The Iraqi economy having wittnisd an acute transition period , still in need for a better care in aim to back it, especialy from the tax system.

The research is concerned with the (VAT) and its details –And for five chapters all the problomes connect are displayed .But yet the new system does not comply with the modern development and this is one of the defects of (VAT) in Iraq.

The history of (VAT)was also studied mentiorned and studied.

     As a conclusion (VAT) is one of the m

The research deals with the concept of stigma as one of the important phenomena that cast a shadow over the nature of the individual, his being and his personality through the inferior view with which he confronts in society, and (Sartors) indicates in this regard that stigma may lead to negative discrimination that leads to many defects, in terms of obtaining On care, poor health, service, and frequent setbacks that can damage self-esteem. The first roots of this phenomenon go back to the Greek civilization and what the Greeks used to burn and cut off some parts of the body and then announce to the nation that the bearer of this sign is a criminal. In addition to the Arab peoples living from setbacks that contributed to the exacerbation

In May 20th. 1985 two species of aphids were found on the roots of Vicia faba L. in Hammam region 30 Kilometer south of Mosul. Samples of these aphids were sent to the Commonwealth Institute of Entomology, London. ( No. 17002/9804 Asia ) and identified as being Smynthurodes betas westwood and Dysaphis crataegi (Kaltenbach) (APhididae : Homoptera). The first species was dominant. The latter species was also noticed on the roots of the common bishop's weed (Ammi majus L.) and on the wide carrot (Daucus carrota L.) of the family Umbelliferae (Bodenheimer & Swirski, 1957).