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.
Time crosses one of the most important principles that are agreed upon in contracts, because the temporal dimension has a significant impact on all contract provisions and is not limited to a certain group of them. French and Arab legal jurists alike called for this dimension to be given special attention. That is the term of the contract term; To try to limit the temporal elements, clarify their provisions and distinguish between them, but in the Arab world it did not receive the same attention that it received in the West.
Housing finance is considered to be an important and basic element in housing market, so it’s very important to aid individuals and particular institutions to built or buy new housing units.Inadequate finance system for housing is capable of supporting families to fulfill their needs and helping them to buy and built houses represented a big gap between the need to housing units and available stock. The most important finance institutions in Iraq nowa days are the Real Estate Bank and Housing Fund.Althoughthe role played byeach ofthese institutions, but thattheir roleis stilllimited in thehousing financeat the level ofindividuals orinstitutions. the adoption of the real estate Bank and housing fund to the amount allocated by th
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Characteristic of money laundering phenomenon is a compound and complex nature like the style of regular crimes . These operations are planned and excuted with those who have high quality experiences to hide the evidences of their deeds so They ask the help of financials ,economicals and legists to plan for money laundering. Banks are important and suitable places for illegal circulation of money because of the different types of accounts , rapidity and overlap which emphasis of its main duty to dislocate illegal money which comes from illegal sources without adding legal characteristic to it . Here we should explain the important role of banks in striving the phenomenon –Bank should try to show and analyze inward proced
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The research aims to study the role of e-government in enhancing institutional performance. The dimensions of e-government are: (support and commitment of senior management, technical structures, organization and human resources, knowledge and information, work procedures, attention to citizens' satisfaction, and client parties),while the dimensions of institutional performance are: (Service improvement, innovation, efficiency and effectiveness).
The research used electronic questionnaire as a main tool for data collection, The questionnaire included all the employees in the e-government project in Department of Government Coordinate and Citizen Affairs at the General Secretariat of the C
... Show MoreThe intervention in the military institute represents a great role in the Nigerian
political life since 1960. There are many reasons behind this domination. The First is that
many African militants participated in liberating their countries from colonization. The
second is that they tried to stay in power as long as they could stay through the rule of one
party.
There fore, they depend on the process of political and economic reform to get rid of
military rule that dominated the Nigerian Political life to be a civilian state
This research discusses the developmental role of the social worker in providing care for children at risk. The research is desicriptive in nature include both the theoretical and field aspects. The theoretical aspect focuses on the characteristics and requirements of these children and what forms and implications are exposed to them by society, what is the developmental role of the social worker in the rehabilitation of this group. As for the field aspect, the study sample took a (40) social workers who working in Aiwa institutions inside Baghdad. A questionnaire of (14) questions was used as tool to collect the needed data.
Background : It had been indentified by histological, histochemical and morphometrical studies that peganum harmala is a mammogenic herb and borage officinalis is a lactogenic one . To complete our investigation about these two herbs , we performed electron microscopical study . Materials and methods : Rats were grouped according to their physiological status into three groups . Each group was subdivided in to three subgroups : one control and two experimental . The two experimental group were treated daily; the 1st one with an aqueous extract of peganum harmala seeds and the 2nd with an aqueous extract of borage officinalis flowers . After two weeks of treatment , mammary glands were employed for electron microscopical study . Resu
... Show MoreBackground: The aims of this study were to evaluate the effect of implant site preparation in low-density bone using osseodensification method in terms of implant stability changes during the osseous healing period and peri-implant bone density using CBCT. Material and methods: This prospective observational clinical study included 24 patients who received 46 dental implants that were installed in low-density bone using the osseodensification method. CBCT was used to measure the bone density pre- and postoperatively and implant stability was measured using Periotest® immediately after implant insertion and then after 6 weeks and 12 weeks postoperatively. The data were analyzed using paired t-test and the probability value <0.05 was conside
... Show MoreThe study seeks the relationship between the mathematical-procedural Knowledge and the logical-mathematical intelligence among students at the third stage in mathematics department. To this end, three questions were arisen: what is the level of mathematical-procedural Knowledge among the third stage students in mathematics department regarding their gender? Do male or female students have more logical-mathematical intelligence and are there significant differences base on their gender? What kind of correlation is between the level of mathematical-procedural Knowledge and the logical-mathematical intelligence of male and female students in the third stage in the mathematics department? A sample of (75) male and female students at the thir
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