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

The aim of this article is to study the dynamical behavior of an eco-epidemiological model. A prey-predator model comprising infectious disease in prey species and stage structure in predator species is suggested and studied. Presumed that the prey species growing logistically in the absence of predator and the ferocity process happened by Lotka-Volterra functional response. The existence, uniqueness, and boundedness of the solution of the model are investigated. The stability constraints of all equilibrium points are determined. The constraints of persistence of the model are established. The local bifurcation near every equilibrium point is analyzed. The global dynamics of the model are investigated numerically and confronted with the obt

This paper discusses reliability R of the (2+1) Cascade model of inverse Weibull distribution. Reliability is to be found when strength-stress distributed is inverse Weibull random variables with unknown scale parameter and known shape parameter. Six estimation methods (Maximum likelihood, Moment, Least Square, Weighted Least Square, Regression and Percentile) are used to estimate reliability. There is a comparison between six different estimation methods by the simulation study by MATLAB 2016, using two statistical criteria Mean square error and Mean Absolute Percentage Error, where it is found that best estimator between the six estimators is Maximum likelihood estimation method.

Background: Scientific education aims to be inclusive and to improve students learning achievements, through appropriate teaching and learning. Problem Based Learning (PBL) system, a student centered method, started in the second half of the previous century and is expanding progressively, organizes learning around problems and students learn about a subject through the experience of solving these problems.Objectives:To assess the opinions of undergraduate medical students regarding learning outcomes of PBL in small group teaching and to explore their views about the role of tutors and methods of evaluation. Type of the study: A cross-sectional study.Methods: This study was conducted in Kerbala Medical Colleges among second year students

EMS in accordance with ISO 14001: 2015 is considered an entry point to reduce environmental impacts, especially the effects resulting from the oil industry, which is the main source of environmental pollution and waste of natural resources, since the second revision of the standard took place in September 2015. The problem of the research was manifested in the weakness in understanding the correct guidelines that must be followed in order to obtain and maintain the standard. The purpose of this research was to give a general picture of what is behind ISO14001:2015 and how it is possible to create a comprehensive base for understanding its application by seeking the gap between the actually achieved reality, standards requirements

The long healing time of bone after tooth extraction in order to construct artificial teeth is uncomfortable to the patient because of aesthetic or masticatory problems in addition to the daily visit to dental clinic. The objective of this study was to evaluate the effect of 805 nm diode laser with long time intervals on repair of bone and skin incisions in rabbits through biochemical, radiological and histological findings. Eighteen New-Zealand rabbits were undergone surgical operations to make a cavity in the bone of the lower jaw, the rabbits were divided into two groups:- Group A (control group) containing nine rabbits. Group B (lased group) containing nine rabbits in which two cavities were done, one on the right side and the other

ان الهدف من البحث الحالي هو تقويم كتاب الفيزياء للصف الرابع العلمي وفق معايير تصميم وانتاج الانفوجرافيك ومن اجل تحقيق هذا الهدف تم اختيار المنهج الوصفي(تحليل المحتوى) وحدد مجتمع البحث بكتاب الفيزياء للمرحلة الاعدادية الرابع العلمي, المقررة للعام الدراسي 2020-2019 ـ اما عينة البحث فكانت جميع الرسوم والاشكال والمخططات المتضمنة في هذا الكتاب. تم اعداد اداة التحليل المتمثلة بقائمة معايير تصميم وانتاج الانفوجرافيك

يعد التقويم مبدأ مهماً في العملية التعليمية لأنه يساعد في التعرف على الاختلاف بين ما ينبغي تحقيقة وما تحقق فعلاً وما يترتب على ذلك من توصيات لدعم ما تحقق فعلاً (الأهداف التربوية) وتصحيح مسار العملية التعليمية من خلال المقترحات لتلافي السلبيات التي عثرت تحقيق الأهداف الأخرى وبما أن المحتوى هو أحد عناصر المنهج المهمة وهو وسيلة المعلم في أيصال المعلومات وبقائها في ذهن المتعلم أطول فترة ممكنه من خلال تبسيط المفا

ان للمنهج المدرسي أهمية كبيرة جداً في العملية التربوية لأنه أداتها في تحقيق الأهداف التربوية المنشودة والتي تعمل على تقدم المجتمع وتطوره في مختلف الجوانب. بمعنى ان المنهج غير ثابت بل متغير ليواكب التطور والتغير الحاصل في العالم والمجتمع وهذا يعني ان المنهج المدرسي بكل عناصره والتي من ضمنها المحتوى في تطور دائم فما يصلح لفترة زمنية معينة لا يصلح لفترة زمنية قادمة مما يستلزم القيام بعملية تقويمية بشكل مستمر و