This paper presents a novel idea as it investigates the rescue effect of the prey with fluctuation effect for the first time to propose a modified predator-prey model that forms a non-autonomous model. However, the approximation method is utilized to convert the non-autonomous model to an autonomous one by simplifying the mathematical analysis and following the dynamical behaviors. Some theoretical properties of the proposed autonomous model like the boundedness, stability, and Kolmogorov conditions are studied. This paper's analytical results demonstrate that the dynamic behaviors are globally stable and that the rescue effect improves the likelihood of coexistence compared to when there is no rescue impact. Furthermore, numerical simul

Longitudinal data is becoming increasingly common, especially in the medical and economic fields, and various methods have been analyzed and developed to analyze this type of data.

In this research, the focus was on compiling and analyzing this data, as cluster analysis plays an important role in identifying and grouping co-expressed subfiles over time and employing them on the nonparametric smoothing cubic B-spline model, which is characterized by providing continuous first and second derivatives, resulting in a smoother curve with fewer abrupt changes in slope. It is also more flexible and can pick up on more complex patterns and fluctuations in the data.

The longitudinal balanced data profile was compiled into subgroup

The aim of this scientific paper is to highlight the effective role of women working in economic development, especially those working in the entrepreneurial sector, which we see as encouraging at the macro-economic level and at the personal level, by highlighting their potential to help them enter the private labour market, value them and empower their role in the economic arena in order to win this bet to become productive and effective workers at all levels.

Through this paper, we will try to highlight the role of Algerian women's contribution to economic development through access to the world of entrepreneurship, and we will also try to find statistics on their success levels at the local and interna

Water pollution is one of the global challenges that the society must address in the 21^st century aiming to improve the water quality, reduce human pollutants and ecosystem health impacts. In phytotoxicity test, the plant of Iresine herbstii was exposed to remove nickel from simulated wastewater using two different ratios (mass of plant to the mass of nickel) (,R_p/Ni) for 21 days with sub-surface batch system. During the exposure period, the removal of Ni concentrations (2, 5 and 10 mg/L) for two mass ratio (2,800 and 34,000) were (83.6%, 77.2%, 78.0%) and (86.8%, 97% and 95.6%), respectively. final result of the rate was found that the highest removal occurred, 97%, at a mass ratio of 34,000 and

This research aims at identifying the level of quality of University environment according to the viewpoint of female students taking the College of Sciences for Woman an example, as represented in the college units as registration unit and the unit of students' affairs, the curricula, instructors, study halls, the college library, scientific labs, computer access, stationary and photocopying services, health care center, the unit of artistic, cultural and sportive activity, the canteen, the college gardens, college buildings and equipment and bathrooms. To achieve the objectives of the research, the researcher prepared a questionnaire to identify the viewpoints of female students concerning the extent of the availability of the standards o

تطوير الاداء الاداري لرؤساء الاقسا العممية في جامعة واتسط في ضوء وظائفيا الادارية د ا رسة ميدانية ىدفت تطوير الاداء الاداري لرؤساء الاقسا العممية في جامعة واسط في ضوء وظائفيا الادارية وت بناء استبانة تكونت 410 وعمى مجموعة مف الخب ا رء مف عمداء ومعاونيف :/ مف = 8 فقرة اذ ت تطبيقيا خلاؿ العا الد ا رسي 4109 اساتذة ورؤساء اقسا باستخدا اسموب دلفي بواقع جولتيف وباعتماد نسبة اتفاؽ 1<% وكاف عددى 81 خبي ا رً وتوصمت الد ا رسة الى

The institutions of higher education and scientific research are the strategic institutions in the field of investing the human resources.

Expenditure on such institutions is considered a long – term investment. Thus, the financial balancing in such institutions is not a traditional one.

These institutions are not for profit organizations.

Accordingly, they need to have accounting data that are calculated on an agreed upon cost basis due to the continuous growth in the expenditure on the services rendered by these institutions. These calls for the availability of tools that help rationalize the expenditure.

Cost Accounting system is capable of providing the useful data for such purposes an

أهمية البحث والحاجة إليه :

يعد تفعيل بناء المؤسسات التربوية ورفع مستواها من المهمات الأساسية  التي ينبغي تحقيقها من خلال تحسين دورها في التعبير عن الأرادة المجتمعية المرتبطة  والمتناغمة مع مقومات البيئة المادية والبشرية وعلى وفق متغيري الزمان والمكان، وان مسؤولية الأدارة التربوية تتمحور في أعادة النظر في هياكلها الوظيفية الادارية واستثمار الطاقات البشرية العاملة وتنظيمها ووضعها

This study sheds light on the structure of the phoneme composition of the verses describing the servants of the Most Merciful in Surat Al-Furqan, and on how its silences, voices, and syllables are distributed, questioning and talking to them about their condition, their aesthetics, and the accuracy of Quranic employment for them, stemming from the presence of a strong, inseparable bond, and a close relationship between the voice and meaning As (i.e. the voice) is the nerve of speech, forming the basic building blocks of speech through synergy of syllables and syllables with each other, creating an audio context with a rhythm that is parallel, expressive, and in harmony with the content, as the vocal context and the fabric based on it are

The research aims to determine the mix of production optimization in the case of several conflicting objectives to be achieved at the same time, therefore, discussions dealt with the concept of programming goals and entrances to be resolved and dealt with the general formula for the programming model the goals and finally determine the mix of production optimization using a programming model targets to the default case.