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 simulations are carried out to demonstrate the impact of the fluctuation rescue effect on the dynamics of the non-autonomous model. The analytical and numerical results show a more coexisted model between prey and predator, which can help any extinction-threatened ecosystem.
The goal of this research to identify the effect of the probing questions in the collection of material literature with students of the Kurdish language department, to achieve the aim of the research, the researcher has chosen a sample from the students of third stage of the Kurdish language Department, Faculty of Education / Ibn Rushd as a field for the application of experiment.The number of sample reached (71) students divided into two groups represented two divisions of the experimental groups under study to the style of questions sounding by (35) students, and represented the other division of the control group, which studied in the way normal and by (36) students, as rewarded r
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The study aimed to prepare a practical guide for procedures for auditing the strategies of municipal institutions in achieving sustainable development by adopting the idea of the audit matrix through which a classified report is prepared according to the dimensions of sustainable development, by preparing a specialized audit program for the purpose of auditing strategies for achieving sustainable development and emptying the results of the application of each of the paragraphs The program in the audit matrix that was prepared for the purpose of determining the impact of each observation and linkin
... Show MoreThe modern business environment Witness tremendous.These developments result from globalization of markets and economic and technological openness. Those developments resulting a heightened competition between economic units and higher the costs of their products and lower their functional characteristics. They do not take into account the response to the requirements of customers. This matter commit it to search for scientific methods to help it to cope with the happening changes and improve its competitive position, The current study acquired its importance by providing significance through by applicable integrated framework to reduce the costs of products. This reduction should be without compromising their quality by using the integr
... Show MoreThe research deals with the lyrical introduction in the commentary of Tarfa bin al-Abd as a formative system characterized by flexibility and richness of imagination, which achieved a formative treatment and a unique construction within the structures of the structural and semantic language. I dealt with the poetic verses represented by the lyrical introduction as a formative hypothesis, basing its goal on a methodological framework distributed on the problem that was summarized by the following question: Is it possible to look at the poetic pattern within the pre-Islamic poem / hanging blinking as a model, in its plastic dimensions and to identify the stylistic treatment that achieves the formation space within the poetic text. The rese
... Show Moreهدفت الدراسة الى تصميم جهاز يحاكي مهارة حائط الصد، وإعداد تمرينات خاصة باستعمال الجهاز المصمم لتطوير دقة الرؤيا البصرية لمهارة الضرب الساحق لالعبي الكرة الطائرة الشباب. استخدام الباحثان المنهج التجريبي، بتصميم المجموعتين المتكافئتين الضابطة والتجريبية. تم تحديد مجتمع البحث من العبي نادي الصناعة الرياضي )فئة الشباب( بأعمار ) 17 – .ً واستنتج الباحثان ان استخدام التمارين 18( سنة. تم اختبار دقة الرؤيا البصرية ل
... Show Moreتعتبر لعبة كرة اليد من الالعاب الفرقية، وان هذه اللعبة تستند الى قاعدة اساسية وهي الاداء الصحيح للمهارات، وللتقدم في هذه اللعبة يجب تعلم وأتقان اداء المهارات للوصول الى مستوى افضل للتعلم، من خلال الدور الذي يؤديه اسلوب نموذج كولب لأنماط التعلم (التكيفي) الذي يعمل على تحديد اسلوب التفكير والمفضل لكل فرد وتاثيره في تعلم مهارة الطبطبة للطالبات، اذ يعمل على ايصال المعلومات والافكار الخاصة باداء المهارة وحس
... Show Moreملخص البحث: يعد اسلوب تدريب المقاومات المرنة واحد من اساليب تدريب القوة العضلية فهو النظام الذي يتم من خلاله استخدام تمرينات يتم ادائها ضد مقاومات متغيرة مثل الحبال المطاطية او اشرطة الساندو، ويمتاز هذا الاسلوب بتغير الشدة خلال اداء التمرين الواحد اي ان كلما تم مط الحبل المطاطي ازدادت مقاومته وبالتالي فان اللاعب يستخرج قوته اكثر كلما اقترب الى مركزية الحركة في التمرين وهذا هو جوهر الاختلاف بينه وبين استخد
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