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.

فدهي قوس يف ةيداصتقلاا تادحولا ضعب يف نيرمثتسملا تارارق ىلع ءارضخلا ةبساحملا ريثأت ةسارد ىلا ثحبلا نم يلمعلا بناجلا تانايب عمج ىلع دامتعلااب ناثحابلا ماق ثحبلا فده قيقحتلو ، ةيلاملا قارولأل قارعلا نايبتسا ميمصت للاخ ىلا اهميدقتو يف ) نيرمثتسملاو , نييلخادلا نيققدملاو , نيبساحملاو , نييلاملا ءاردملا( ثحبلا ةنيع يف ةلجسملا تاكرشلا ضعب ةيلاملا قارولأل قارعلا قوس متو ثحبلا ناونعب قلعتت يتلا جئاتنلا جارخت

The research aims to measure the impact of managerial ability on income persistence for the industrial sector companies listed in the Iraqi Stock Exchange. The managers of these companies have managerial ability that may have an impact on achieving their objectives, setting their future policies and investing opportunities. Which may be reflected in many areas, including the level of profitability achieved and the possibility of continuity or sustainability? A model was used to measure managerial ability as well as a model to measure the income persistence in order to determine the relationship between them, The researchers found the absence of a statistically significant between managerial ability and the income persistence, which requi

In recent years, the positioning applications of Internet-of-Things (IoT) based systems have grown increasingly popular, and are found to be useful in tracking the daily activities of children, the elderly and vehicle tracking. It can be argued that the data obtained from GPS based systems may contain error, hence taking these factors into account, the proposed method for this study is based on the application of IoT-based positioning and the replacement of using IoT instead of GPS.  This cannot, however, be a reason for not using the GPS, and in order to enhance the reliability, a parallel combination of the modern system and traditional methods simultaneously can be applied. Although GPS signals can only be accessed in open spaces, GP

Increased the need to promote the profession of auditing, and improving the performance of the audit process, which comes through the effective implementation of its tasks, where the auditor collects the necessary data about the nature of client activity, and any other information it deems necessary to carry out the planning and development of the strategy for how to determine the procedures for implementing the audit process and the scope and timing for evidence clues in order to form an opinion technician neutral about the fairness of the financial statements, as required by the standards of the field work of the planning and supervision of the internal control and evidence to prove, but the failure of the auditor whether in th

  The life insurance marketing faces many difficulties because it is not a current tangible commodity, so it needs a planning for promotional activities and data about prospective applicants according to many factors such as age and residence area ​​, marital status and profession to determine the group wich need insurance covers.                                                                    &nb

        This paper aims to identify the contents of the advertisements of the (Take the Vaccine .. to Protect Yourself) campaign that was carried out by the Iraqi Ministry of Health for the period from (11/19/2020) to (4/1/2022), to raise awareness of the anti-Covid 19 virus vaccines, which it published on its official page on Facebook. The researcher used a comprehensive inventory method for the research community, and used the content analysis tool.