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The Role of Fear and Predator Dependent Refuge on a Stage Structure Prey-Predator System
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The present paper investigates the role of fear and predator dependent refuge in the prey-predator system. The system describes the interaction between prey and a stage structure of predator that incorporates Holling II functional response. The predator splits into two compartments immature (juvenile) and mature (adult). The mature predators can hunt and reproduce but this capability is not found in the immature predators, the immature depend on their parents. The growth rate of prey decreases due to the existence of mature predators. The existence, uniqueness, and boundedness of the solution of the system are investigated. Three equilibrium points of the system are determined. The local stability of the system is studied. The global stability of the axial equilibrium point is discussed using the appropriate Lyapunov function, while the basin of attraction of the positive equilibrium point is investigated. The persistence constraints of the system are established. The local and Hopf bifurcation analyses of the system are examined. Lastly, numerical simulations are given to ensure the theoretical results with the help of Matlab program (version R2018b). It is found that the effect of fear plays a substantial role in the dynamic of the system. On the other hand, the refuge’s coefficient continuously affects the system. Furthermore, the variation of the refuge’s coefficient by utilizing different initial points leads to a change in the behavior of the system from stable to unstable and conversely.

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Publication Date
Thu Oct 15 2026
Journal Name
Al–bahith Al–a'alami
Foreign Series in the Kurdish Satellite Channels and Their Role in the Development of Awareness among Young People in the Kurdistan Region (Korean Series as a Model) (A Field Study on a Sample of Students of the Institute of Fine Arts in the City of Sulay
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The dubbing process for the Foreign Dramas by the Kurdish language became a serious phenomenon in the Kurdish satellite TV, especially in the past few years. It attracted a wide audience, especially young adolescents. And prepared by some breakthrough hostile to Kurdish culture and value coordinated by others remedy for the structural gaps and lapses have, as a result of climate which is brought into existence globalization and secretions variety dimensional, saturated value and cognitive effects bearing a strong identity of its elements. From here, the problem of this research is the ambiguity of their role in a series of developmental processes Kurdish awareness of young people and the extent of the impact that caused it.

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Publication Date
Fri Jan 01 2021
Journal Name
Prepodavatel Xxi Vek
The Structure of Russian Participles: Special Features of the Grammar Meaning of State
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Publication Date
Sun Jan 24 2016
Journal Name
Al-academy
The Creative Imagination In the structure of Designed work: أيمان طه ياسين
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In the marsh of the vast technical development and its reflections on the public life in all of its forms man lives in the shade of this and that and he is in a disprate need to took attentively at his reality through a new artistic vision which the imagination gives it , its value, from this point we find the designers pay great efforts in creating advertising designs that creation and fertile imagination are consisting one unit, and through her flying study on the reality of employing the creative imagination in the designing of printed advertisements, the researcher submitted her questions where some of which are: -What are the requirements of employing the creative imagination in the designing process? And -What are the machineries o

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Publication Date
Tue Jul 02 2024
Journal Name
Full Text Book Of Rimar Congress10
DEVELOPING THE FINE ART STRUCTURE OF THE NATURAL HISTORY MUSEUM LOGO'S DESIGN
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The characteristic feature of a structure is that it accepts changes in form; this fact gives the structure features represented by the unity of its parts and wholeness. Accordingly, structure theorists consider the structure the major factor in composing the parts within the wholeness of the visual cognition according to a methodological adaptation of the creative processes in treating the elements of the logo, and this would make the logo have a visual identity that provides the recipient with a holistic description of the content of the materialistic representation. Additionally, the logo achieves identification between the concept and the reality at many times; therefore, it represents an entity that has characteristics and mean

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Publication Date
Tue Jan 01 2019
Journal Name
Izvestiya Of Saratov University. New Series. Series: Philology. Journalism
To the Question of Internal Inflection of the Roots in Arabic and Russian (Inflected Analysis of the Root Structure)
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Publication Date
Mon Jul 01 2019
Journal Name
Journal Of Educational And Psychological Researches
The of Effect Instructional Design based on Kagan Structure In Generating Information Skills for First Intermediate Student’s In Mathematics
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The aim of the research is to identify the effect of instructional design according to Kagan structure among the first intermediate school student’s, and how skills could help in generating information in mathematics. In accordance with the research objectives, the researcher has followed the experimental research method by adopting an experimental design with two equivalent groups of post-test to measure skills in generating information. Accordingly, the researcher raised two main null hypotheses: there were no statistically significant differences at the level of significance (0.05) between the average scores of the experimental group who studied the material according to Kagan structure and th

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Publication Date
Mon Apr 28 2025
Journal Name
Chemical Papers
New chemiluminometric method for the determination of azithromycin in a continuous flow injection analysis system
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A novel analytical method is developed for the determination of azithromycin. The method utilizes continuous flow injection analysis to enhance the chemiluminescence system of luminol, H2O2, and Cr(III). The method demonstrated a linear dynamic range of 0.001–100 mmol L-1 with a high correlation coefficient (r) of 0.9978, and 0.001–150 mmol L-1 with a correlation coefficient (r) of 0.9769 for the chemiluminescence emission versus azithromycin concentration. The limit of detection (L.O.D.) of the method was found to be 18.725 ng.50 µL−1 based on the stepwise dilution method for the lowest concentration within the linear dynamic range of the calibration graph. The relative standard deviation (R.S.D. %) for n = 6 was less than 1.2%

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Publication Date
Sun Feb 10 2019
Journal Name
Journal Of The College Of Education For Women
Role socialization family erroneous and its impact on criminal behavior
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The correct and sincere process of socialization is working on appropriate social climate in
which this process is the provision, and the climate is achieved in the presence of a positive
environment free of negatives and contradictions, but when there is a socialization processes
inadequate and contradictory was not based on the principles of punishment and reward nor a
balance between methods soft and intensity of treatment and interaction with small and
adolescent does not require intensive social care formulas do not create the conditions
essential items required by the successful and effective socialization, the young and the young
people who are going through in such Altanisah and educational operations will be

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Publication Date
Wed Jun 01 2022
Journal Name
Political Sciences Journal
Transformation in International Polar System: Study of the future of the nonpolar system
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The study of the future of the international system currently appears, according to scientific data and existing facts in light of the emergence of international actors from non-states and international informal institutions, to be heading towards a non-polarity system and this trend is fueled by many variables to reduce polarity, and it is expected in the future that the international system will turn into a non-polarity.

 

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Publication Date
Sun Jan 01 2017
Journal Name
Iraqi Journal Of Agricultural Sciences
THE ROLE OF JASMONIC ACID AND POTASSIUM NITRATE ON IN VITRO PRODUCATION OF MICROTUBERS OF TWO POTATO CULTIVARS
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