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.
Abstract :-
The aim of the research is to explain the role of quality costs their importance and their classification, and to clarify the most important tools that help to reduce costs.
In order to achieve the objective of the research and test hypotheses adopted the descriptive approach, as well as the adoption of the analytical approach in the study of applied data has been relied upon in providing data on the financial and production reports of the research sample company, the data were used to study and analyze financial and productivity reports . A number of conclusions have been reached the most important being the following
... Show Morehe current research aims to analyze the relationship and the level of influence of labor relations in reducing the cases of job withdrawal in private colleges in Baghdad. (265) individuals from department heads, university professors, and teaching staff in (7) private colleges located in the capital, Baghdad, and based on the Stephen Thompson equation for small samples, the sample size was determined by (157) teachers, and the questionnaire was adopted as a main tool for collecting data and information After ensuring the validity and reliability of its contents, and to test the relationship of influence, correlation and interaction between the research variables, two main hypotheses were formulated from which (5) sub-hypotheses eman
... Show MoreThe current research aims to identify the nature of the relationship between training human resources in administrative innovation elements In the General Directorate for the education of the third Rusafa one of the formations of the Iraqi Ministry of Education in Baghdad, In order to achieve the objectives of the research, the researcher provided a comprehensive theoretical framework and the preparation and development of a questionnaire as a tool for collecting data based on the prepared measurements and benefit from previous studies, which contains (28) For the purpose of obtaining realistic results for the variables of the research, the researcher used the random sample in the selection of the research sample A total of (63)
... Show MoreBackground: Plants used in folk medicine for
the treatment of peptic ulcer diseases is a very
promising approach to overcome the limitations of
classical medicines.
Aim: To explore the efficacy of medicinal
plants, namely turmeric, garlic and marshmallow,
in eradication of H. pylori.
Methods: This prospective study was carried out
on 225 of well-known dyspeptic patients who were
divided into four groups; a control group (received
classical medical therapy) and three other groups
that received one of the three medicinal plants,
plus the same therapy used in the control group.
The follow up was done by using a questionnaire
form, endoscopic examination, and determination
of serum levels of anti
The Industrial Banks in most countries in the world plays an essential and vital role in developing the industrial sector due to its effective importance in the economic and social development. The research aims to study the ability of the Industrial Bank of Iraq to the growth and development of the mixed industrial sector companies through loans granted to them. In addition, the research seeks to study credit policies pursued by the Industrial Bank of Iraq to finance the mixed industrial sector companies. The data of the research has been collected from the financial statements of the Industrial Banks of Iraq for the period 2007-2011, and by means of questionnaire distributed to a sample of the mixed industrial sector companies in
... Show MoreThe quality of the financial reports depends on set of accounting standards ,most of wich have been studied for the purpose of ascertaining the relationship between the standard used and the quality of the financial reports that contribute significantly to improving the financial performance of the institution, Research aims to detect the relationship between forensic accounting and the quality of financial reports, The research included a key hypothesis that forensic accountability could be applied to improve the quality of financial reporting, A sample of gentlemen (external auditors, tax assessors, judges, university professors, shareholders) (45
... Show MoreIn this work, the design and implementation of a smart energy metering system has been developed. This system consists of two parts: billing center and a set of distributed smart energy meters. The function of smart energy meter is measuring and calculating the cost of consumed energy according to a multi-tariff scheme. This can be effectively solving the problem of stressing the electrical grid and rising consumer awareness. Moreover, smart energy meter decreases technical losses by improving power factor. The function of the billing center is to issue a consumer bill and contributes in locating the irregularities on the electrical grid (non-technical losses). Moreover, it sends the switch off command in case of the consumer bill is not
... Show MoreA simulated ion/electron optical transport and focusing system has been put forward to
be mounted on high voltage transmission electron microscope for in situ investigations.
The suggested system consists of three axially symmetric electrostatic lenses namely an
einzel lens, an accelerating immersion lens, and a decelerating immersion lens, in addition
to an electrostatic quadrupole doublet lens placed on the image side. The electrodes
profile of these lenses is determined from the proposed axial field distributions. The
optical properties of the whole system have been computed together with the trajectory of
the accelerated charged-particles beam along the optical axis of the system. The computed
dimensions of th
In this work, the superconducting CuBa2LaCa2Cu4O11+δ compound was prepared by citrate precursor method and the electrical and structural properties were studied. The electrical resistivity has been measured using four probe test to find the critical temperature Tc(offset) and Tc(onset). It was found that Tc (offset) at zero resistivity has 101 K and Tc (onset) has 116 K. The X-ray diffraction (XRD) analysis exhibited that a prepared compound has a tetragonal structure. The crystal size and microscopic strain due to lattice deformation of CuBa2LaCa2Cu4O11+δ were estimated by four methods, namely Scherer(S), Halder-Wagner(H-W), size-strain plot (SSP) and Williamson-Hall, (W-H) methods. Results of crystal sizes obtained by these meth
... Show MoreThis research work aims to the determination of molybdenum (VI) ion via the formation of peroxy molybdenum compounds which has red-brown colour with absorbance wave length at 455nm for the system of ammonia solution-hydrogen peroxide-molybdenum (VI) using a completely newly developed microphotometer based on the ON-Line measurement. Variation of responses expressed in millivolt. A correlation coefficient of 0.9925 for the range of 2.5-150 ?g.ml-1 with percentage linearity of 98.50%. A detection limit of 0.25 ?g.ml-1 was obtained. All physical and chemical variable were optimized interferences of cation and anion were studied classical method of measurement were done and compared well with newly on-line measurements. Application for the use
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