The dynamical behavior of a two-dimensional continuous time dynamical system describing by a prey predator model is investigated. By means of constructing suitable Lyapunov functional, sufficient condition is derived for the global asymptotic stability of the positive equilibrium of the system. The Hopf bifurcation analysis is carried out. The numerical simulations are used to study the effect of periodic forcing in two different parameters. The results of simulations show that the model under the effects of periodic forcing in two different parameters, with or without phase difference, could exhibit chaotic dynamics for realistic and biologically feasible parametric values.

This article examines and proposes a dietary chain model with a prey shelter and alternative food sources. It is anticipated that mid-predators' availability is positively correlated with the number of refuges. The solution's existence and exclusivity are examined. It is established that the solution is bounded. It is explored whether all potential equilibrium points exist and are locally stable. The Lyapunov approach is used to investigate the equilibrium points' worldwide stability. Utilizing a Sotomayor theorem application, local bifurcation is studied. Numerical simulation is used to better comprehend the dynamics of the model and define the control set of parameters.

A 3D Geological model was generated using an advanced geostatistical method for the Cretaceous reservoir in the Bai Hassan oil field. In this study, a 3D geological model was built based on data from four wells for the petrophysical property distribution of permeability, porosity, water saturation, and NTG by using Petrel 2021 software. The geological model was divided into a structural model and a property model. The geological structures of the cretaceous reservoir in the Bai Hassan oil field represent elongated anticline folds with two faults, which had been clarified in the 3D Structural model. Thirteen formations represent the Cretaceous reservoir which includes (Shiranish, Mashurah, U.kometan, Kometan Shale, L. Kometan, Gulnen

abstract:

Objectives: The study aims to reveal the approach of Imam Al-Salmi in the weighting between the apparently conflicting texts, and to show the extent of his agreement and disagreement with the rest of the fundamentalists, and does he have vocabulary that can be used to elicit legal rulings in modern contemporary issues?

Method: The method of induction and analysis is one of the main tools to reach the research results. The study resorted to following the sayings of Imam Al-Salmi in various sources and fatwas and standing on them, then analyzing and applying them to the various branches of jurisprudence in the various jurisprudential chapters.

It is no secret to anyone that studying and investigating books of jurisprudence, despite their suffering, is a pleasure that cannot be compared to pleasure, and it has benefits and importance that cannot be limited and summed up, and it has great fruits that researchers and students of knowledge reap, as well as enriching libraries with jurisprudential material, after dusting them and taking them out to the light of libraries to be seen. Researchers and scholars, generation after generation, so that this nation can benefit from this pioneering intellectual and scientific product that was written for us by our first ancestors of working scholars who enriched human civilization with this scientific material, which has become a beacon guid

In this paper, the theoretical cross section in pre-equilibrium nuclear reaction has been studied for the reaction  at energy 22.4 MeV. Ericson’s formula of partial level density PLD and their corrections (William’s correction and spin correction) have been substituted  in the theoretical cross section and compared with the experimental data for  nucleus. It has been found that the theoretical cross section with one-component PLD from Ericson’s formula when  doesn’t agree with the experimental value and when . There is little agreement only at the high value of energy range with  the experimental cross section. The theoretical cross section that depends on the one-component William's formula and on-component corrected to spi

During his tenure in Iraq, al-Hadjjaj bin Yusif undertook administrative and economic reforms as well as linguistic reform.

The efforts exerted by Abu al-Aswad al-Dawali to control the reading of the Holy Quran were not sufficient, so the melody and error continued and became more pronounced, especially since the letters were written until then without any distinguishing features.

Al- Hadjjaj bin Yusuf realized the seriousness of the continuation of these errors and what he talked with the days of the causes of division and disagreement between the Muslim community ordered his book to put these suspicious characters marks was at the head of the book Nasr bin Asim and Yehi bin Muammar

The research entitled: (The Constructive Mutation of installation Systems in the Artworks of the artist Ali Al-Najar) has dealt with the concept of Mutation and its systematizations in installation in the artworks of (Ali Al-Najjar).
The research has four chapters: The first Chapter deals with the methodological framework represented by the basic problem of the research, that is concerned with the constructive mutation of installation systems.
The research aims at finding out the constructive mutation of installation systems in the artwork of ( Ali al-Najar). The research is limited by analyzing visual samples of (Ali Al-Najjar) artworks betwen (1967-1991)
The second chapter deals with the theoretical framework, it has five s