In this paper, we establish the conditions of the occurrence of the local bifurcations, such as saddle node, transcritical and pitchfork, of all equilibrium points of an eco-epidemiological model consisting of a prey-predator model with SI (susceptible-infected) epidemic diseases in prey population only and a refuge-stage structure in the predators. It is observed that there is a transcritical bifurcation near the axial and free predator equilibrium points, near disease-free equilibrium point is a saddle-node bifurcation and near positive (coexistence) equilibrium point is a saddle-node bifurcation, a transcritical bifurcation and a pitchfork bifurcation. Further investigations for Hopf bifurcation near coexistence equilibrium point

11-22 Description An apology may be defined as “the act of declaring one’s regret, remorse or sorrow for having insulted, failed, injured, harmed or wronged another (Internet Encyclopedia of Philosophy IEP). A definition quite interested in the function suggests that “an apology is a speech act addressed to B’s face–needs and intended to remedy an offence for which A. takes responsibility.”(Holmes, 1990: 159). Apologies are also" speech acts" that are hard to identify, define or categorize, a difficulty that arises directly out of the functions they perform (Lakoff, 2001: 201) and the forms they take. In function, they range from selfabasement for wrongdoing to the formal display of appropriate feeling. In form, they range from

This research aim to recognize
satisfy of life in the university's student and balance in satisfy of life
according to two type aveirable sex specific and find type and
relationship's director between satisfy of life and character big factors.
and known hom much that Factors in satisfy of life, the research sample
consist of (401) student male and female and from both specified in
Baghdad's University, researcher bult scale of Costa &McCrae Fore the
fire big Factors to Personality, research result That the university's
student low level of satisfy of life and there are no different statically if
they are scientific or human in their study. And there is positive and there
is positive and indicate relation

The influence of fear on the dynamics of harvested prey-predator model with intra-specific competition is suggested and studied, where the fear effect from the predation causes decreases of growth rate of prey.  We suppose that the predator attacks the prey under the Holling type IV functional response. he existence of the solution is investigated and the bounded-ness of the solution is studied too. In addition, the dynamical behavior of the system is established locally and globally. Furthermore, the persistence conditions are investigated. Finally, numerical analysis of the system is carried out.

The research problem lies in determining the beauty ranges between the receiver and the industrial product, The goal of the research, it is the definition of aesthetics in industrial design and its relation to the receiver, and the researcher outcome several conclusions of the, the most important was: 1. The role of accumulated experience, and their interaction with the vision of the artwork in achieving aesthetic perception and levels of artistic and aesthetic values and by the level of growth this taste of the recipient. 2. There are interactive and close relationship be the primary means for the integration of functional and aesthetic meaning the designer meant to get it to the receiver.

The particle-hole state densities have been calculated for 232Th in
the case of incident neutron with  ,  1 Z Z T T T T and   2 Z T T .
The finite well depth, surface effect, isospin and Pauli correction are
considered in the calculation of the state densities and then the
transition rates. The isospin correction function ( ) iso f has been
examined for different exciton configurations and at different
excitation energies up to 100 MeV. The present results are indicated
that the included corrections have more affected on transition rates
behavior for        , , and    above 30MeV excitation energy

Abstract

       The research aims to identify  the  nature of  the relationship between the level of debt used  and economic  value  added  of companies listed on the Iraq Stock Exchange under the Contrast sizes of these companies , The research addressed the theoretical concepts associated with each of the debt financing , economic added value and Organization size With the use of financial techniques in the practical side to measure these variables, The research community Represent of  the shareholding companies listed on the Iraq Stock Exchange with a choice of intentionally sample of 24 joint stock companies representing&nbsp

A simplified parallel key was presented in this work for the Taxa of Stackys L. wildly grown in Iraq. Three records within this genus were newly recorded to our country in the present work and they are S. kermanshahansis Rech S. setifera C.A. Mey. subsp setifera, S. setifera ssp iranica (Reck.) The characteristics of these new records were also given with some representative specimens.

This experiment was carried out in one of the fields (A) affiliated to the College of Agricultural Engineering Sciences / University of Baghdad, for the spring season 2021, On hybrid tomato plants (Mayai Mayai) to test flower viability, using two factors, the first was three levels of irrigation interval (2, 4, 6) days, and the second factor three concentrations of compound Nano fertilizer with concentrations (0, 1.5, 2.5) gm liter-1, so that the number of treatments is 9 treatments and three replications, the number of experimental units is 27 experimental units distributed randomly according to the random drawing method to ensure reducing experimental error and obtaining the most accurate results. A factorial experiment 3 x 3 x 3 was carr

In this study, geopolymer mortar was designed in various experimental combinations employing 1% micro steel fibers and was subjected to different temperatures, according to the prior works of other researchers. The geopolymer mortar was developed using a variety of sustainable material proportions (fly ash and slag) to examine the influence of fibers on its strength. The fly ash weight percentage was 50%, 60%, and 70% by slag weight to study its effect on the geopolymer mortar's properties. The optimal ratio produced the most significant results when mixed at a 50:50 ratio of fly ash and slag with 1% micro steel fibers at curing temperature 240oC for 4 hours through two days. The compressive strength of the geopolymer mortar increas