The present paper investigates the role of fear and predator dependent refuge in the prey-predator system. The system describes the interaction between prey and a stage structure of predator that incorporates Holling II functional response. The predator splits into two compartments immature (juvenile) and mature (adult). The mature predators can hunt and reproduce but this capability is not found in the immature predators, the immature depend on their parents. The growth rate of prey decreases due to the existence of mature predators. The existence, uniqueness, and boundedness of the solution of the system are investigated. Three equilibrium points of the system are determined. The local stability of the system is studied. The global stability of the axial equilibrium point is discussed using the appropriate Lyapunov function, while the basin of attraction of the positive equilibrium point is investigated. The persistence constraints of the system are established. The local and Hopf bifurcation analyses of the system are examined. Lastly, numerical simulations are given to ensure the theoretical results with the help of Matlab program (version R2018b). It is found that the effect of fear plays a substantial role in the dynamic of the system. On the other hand, the refuge’s coefficient continuously affects the system. Furthermore, the variation of the refuge’s coefficient by utilizing different initial points leads to a change in the behavior of the system from stable to unstable and conversely.
The Mandaean religion of ancient and important religions in Iraq and Iran has its own rituals which are characterized by the use of singing and toning of speech. It began with the creation of human beings through a group of prophets. Peace be upon them. Researcher research problem, and explained the importance of research and objectives and limits and identify terminology. The second topic is the theoretical framework to include the history of the Sabean Mandaean, secondly their religious rites, sources, major books and secondary books for the Latin tribes of Mandaean. Finally, the researcher tackled the sources of their sacred books and previous studies. The third topic represented the procedures. The researcher dealt with the musical a
... Show MoreThe aim of the present study was to demonstrate the possible role of statins on the inflammatory biomarkers in patients with periodontal disease (PD) This cross-sectional study involved 74 patients with PD and/or dyslipidemia divided into Group A: 34 patients with PD (nonstatins users); Group B: 40 patients with PD (statins users); and Group C: 30 healthy controls. Total cholesterol (TC), triglyceride (TG) and high-density lipoprotein, C-reactive protein (CRP), interleukin-6 (IL-6), tumor necrosis factor alpha (TNF-α), and malondialdehyde (MDA) were measured . Blood pressure prolife and indices of PD were evaluated in each group. Statistical analysis was conducted by using SPSS version 20.0.
In this paper the centralizing and commuting concerning skew left -derivations and skew left -derivations associated with antiautomorphism on prime and semiprime rings were studied and the commutativity of Lie ideal under certain conditions were proved.
Praise be to God, Lord of the Worlds, and prayers and peace be upon the most honorable of creation, Muhammad, whom God sent as a mercy to the worlds, and his pure God and his faithful companions. The Islamic heritage was replete with texts issued from among the pure infallibility, which constituted a prominent teacher that takes the student to stop there in search of its goals, purposes and beauty. The choice was made from those texts that were issued by the imams of Muslims in the Abbasid era, namely Imam Muhammad al-Jawad, his son Imam Ali al-Hadi and his grandson Imam Hassan Zaki al-Askari. (Peace be upon them), and scholars have called them (sons of satisfaction), and researchers have shed light on these texts from rhetorical, artistic
... Show MoreThe aim of this research is to construct a cognitive behavior program based on the theory of Meichenbaum in reducing the emotional sensitivity among Intermediate school students. To achieve the aims of the research, two hypotheses were formulated and the experimental design with equal groups was chosen. The population of research and its sample are determined. The test of negative emotional sensitivity, which is constructed by the researcher, was adopted. The test contains (20) items proved validity and reliability as a reliable test by presenting it to a group of arbitrators and experts in education and psychology. An educational program is constructed based on the theory of Meichenbaum. The test was applied to a sample of (60) second i
... Show MoreE.M. Forster (1879-1970) is one of the important novelists who dealt with the personal and social lives of the people in England during the early beginning of the twentieth century. During his literary career, he developed gradually his views about man and his position in society.
In his first novel, Where Angels Fear to Tread (1902), the focus is laid on local and personal issues in the lives of the characters. It is limited to the relations between neighbours in small communities. Though the setting is shifted to Italy, Forster does not make full use of this shift to present cultural or racial conflicts; rather he limits his plot to the private tr
... Show MoreSoftware Defined Network (SDN) is a new technology that separate the control plane from the data plane. SDN provides a choice in automation and programmability faster than traditional network. It supports the Quality of Service (QoS) for video surveillance application. One of most significant issues in video surveillance is how to find the best path for routing the packets between the source (IP cameras) and destination (monitoring center). The video surveillance system requires fast transmission and reliable delivery and high QoS. To improve the QoS and to achieve the optimal path, the SDN architecture is used in this paper. In addition, different routing algorithms are used with different steps. First, we eva
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