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Modeling and analysis of a prey-predator system incorporating fear, predator-dependent refuge, and cannibalism

Using a mathematical model to simulate the interaction between prey and predator was suggested and researched. It was believed that the model would entail predator cannibalism and constant refuge in the predator population, while the prey population would experience predation fear and need for a predator-dependent refuge. This study aimed to examine the proposed model's long-term behavior and explore the effects of the model's key parameters. The model's solution was demonstrated to be limited and positive. All potential equilibrium points' existence and stability were tested. When possible, the appropriate Lyapunov function was utilized to demonstrate the equilibrium points' overall stability. The system's persistence requirements were specified. The circumstances of local bifurcation that could take place close to the equilibrium points were discovered. Numerical simulations were run to validate the model's obtained long-term behavior and comprehend the effects of the model's key parameters in order to confirm our analytical conclusions. It has been observed that the system may have numerous coexistence equilibrium points, leading to bi-stable behavior. The fear rate reduces the multiplicity of the equilibrium point and converts the bi-stable situation into a stable case, which stabilizes the system (1) up to the top particular value.

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Publication Date
Sun Dec 29 2019
Journal Name
Iraqi Journal Of Science
ET-Coessential and ET-Coclosed submodules

Let M be an R-module, where R be a commutative;ring with identity. In this paper, we defined a new kind of submodules, namely; ET-coessential and ET-Coclosed submodules of M. Let T be a submodule of M. Let K  H  M, K  is called  ET-Coessential of H in M (K⊆ET.ce H), if     . A submodule H is called ET- coclosed in M of H has no proper coessential submodule in M, we denote by  (K⊆ET.cc H) , that is, K⊆ET.ce H implies that   K = H. In our work, we introduce;some properties of ET-coessential and ET-coclosed submodules of M.

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Publication Date
Sat Feb 02 2019
Journal Name
Journal Of The College Of Education For Women
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Publication Date
Sun Mar 19 2023
Journal Name
Journal Of Educational And Psychological Researches
Understanding Inclusion (National and International Perspective)

Abstract

There have been a number of positive developments in inclusive education in many different countries, recognizing that all students, including those with disabilities, have a right to education. Around the world, educators, professionals, and parents are concerned about including children with disabilities in mainstream schools along with their peers. As a result of this trend, a number of factors are contributing, including the increasing importance of education in achieving social justice for pupils with special education needs; the right of individuals with disabilities to attend mainstream schools together with their typically developing peers; the benefit of equal opportunities for everyone in achie

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Publication Date
Mon Sep 30 2019
Journal Name
College Of Islamic Sciences
Recipe configuration between installers and Navin

One of the issues that occupied the doctrinal mind and differed the attention of scientists is the question of (the quality of the composition of God), so each team of scientists went the doctrine that led him to his evidence.
I wanted through this research to stand on the truth of the matter according to what I reached after looking at the views of the people and their evidence and direct the dispute between scientists.
It was presented with an introduction that was an introduction to the issue, where it began with the introduction of the definition of attributes, and then began to define the composition and view the views of scientists and evidence, and then concluded it with a conclusion mentioning what I have reached.

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Publication Date
Wed Sep 30 2015
Journal Name
College Of Islamic Sciences
Isthmus life and prepare for it

Isthmus life and prepare for it

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Publication Date
Wed Mar 30 2022
Journal Name
Iraqi Journal Of Science
s-Compressible and s-Prime Modules

   Let R be a ring with identity and Ą a left R-module. In this article, we introduce new generalizations of compressible and prime modules, namely s-compressible module and s-prime module. An R-module A is s-compressible if for any nonzero submodule B of A there exists a small f in HomR(A, B). An R-module A is s-prime if for any submodule B of A, annR (B) A is small in A. These concepts and related concepts are studied in as well as  many results consist properties and characterizations are obtained.  

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Publication Date
Sun Feb 03 2019
Journal Name
Journal Of The College Of Education For Women
WISDOM AND ITS CAUSE BY FUNDEMENTALISTS

Allah's wisdom has necessitated concentrating un human nature the ability of
mediation and forethought .among the aspect of this ability is the recognition of the
relationship between causes and effects issues and reasons behind them and the
sensing of similarities and differences and distinguish the connection between the
subjects and characteristics and the innate perception of material and immaterial good
and bad.
Allah's wisdom has willed not to make his law away from the nature of people of
discovering the relationship between things and their causes, or similarity between
things and their counterparts to use the Quranic text to convince reason and to enable
reason to realize the wisdom quranic text within

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Publication Date
Mon Oct 28 2019
Journal Name
Journal Of Legal Sciences
The ICC and Situation in Iraq

يتناول البحث الموقف في العراق، وما يتصل بذلك من جرائم دولية مرتكبة

في الأقليم العراقي، ومدى أختصاص المحاكم العراقية الوطنية بنظر تلك الجرائم

ومحاسبة المسؤولين عنها، وبيان أختصاص المحكمة الجنائية الدولية، والدور

الذي يمكن أن تضطلع به في سبيل تحقيق العدالة.

تسلم مكتب المدعي العام ماينيف عن ) 404 ( جهات اتصال تخص الوضع

في العراق وهذه الشكاوى وردت من مواطنين ومنظمات تعبر عن قلقهم حيال

ا

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Publication Date
Wed May 17 2023
Journal Name
College Of Islamic Sciences
Time in (what and whatever) conditionals

This is a research in which I studied the opinions of Arab scholars, in their studies
For (what) and (whatever) the two conditionals and their indication of time, and its name
B (time in (what) and (whatever) the two conditions), and I mentioned their opinions in it
This issue was discussed and discussed, and in this study it relied on the sources of the Arabic language.
Especially the books of grammar, interpretation, and the opinions of the scholars of the principles of jurisprudence are mentioned,
I also mentioned the opinion of the scholars of jurisprudence, and how they likened (whatever) to (everything).
In its indication of repetition, and as long as it indicates repetition, it indicates
time Because repetitio

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Publication Date
Tue Jun 07 2022
Journal Name
Journal Of Accounting And Financial Studies ( Jafs )
Financial Fraud and Corruption with Examples

He mentioned in this article the main types of corruption, which are political, moral, financial and administrative. Others may add other types of corruption, such as religious, scientific, media, informational and statistical corruption. At the global level, the focus is largely on financial corruption, although other types of corruption are no less bad than it. Financial corruption can be defined as all financial deviations in violation of general laws or the provisions of regulations, legislation, and procedures regulating the work of the state, private institutions and individuals and applied in state institutions and the private sector in general and inconsistent with the controls and instructions of financial control.

In th

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