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 are carried out. Finally, numerical simulations are used to illustrate the occurrence of the local bifurcations of this model.
This research aims to find out "the effectiveness of the self-questioning strategy in the achievement of students Phase III institutes of teacher preparation and decision-making in chemistry." The researcher follows approach quasi-experimental with a post-test, and the sample consisted of (27) from " Teachers Training Institute-AL-Byaa "in Directorate of Education Baghdad Karkh / 2 students divided into two unequal groups: experimental its number (14) students studied using reciprocal teaching strategy and control its number (13) students have studied in the usual way.The two groups were equivalent extraneous variables.
The researcher was prepare achievement test consist of 40 items was the adoption of a measure of decision-makin
... Show MoreThe conservatorship is a legal action to protect troubled banks from credit risk and bankruptcy risk that banks cannot hedge them .The Central Bank role has to protect the financial system from these risks by controlling and supervising. This research studied these risks and explained the role of The Central Bank. This research presented and analyzed the legal framework for supervision and the imposition of conservatorship bank to address the effects that have been achieved as a result of poor management and weak internal controls. Baraka Bank for Investment and Finance was a research sample to measure the financial ratios for the troubled bank, and analysis the results that led to put the conservatorship. The research depends on the hyp
... Show MoreThis paper aims to explain the effect of the taxes policy including direct & indirect taxes on supporting the domestic Investment in Iraq. This could help the official planners for drawing the future policies that help provoking (istumlating) the domestic investment in Iraq the quantitative analysis approach was adopted using regression model. The results showed the significance of the effects of both direct & indirect taxes policies on domestic as a simple correlation coefficient ( r ) of ( 0.6 ) , ( 0.64 ) respectively.
The present study aimed to investigate the morphological and histological structure of pancreas in the bat,(Pipistrellus kuhlii). Pancreas was represented by compact pancreatic tissue which is divided into three parts : head , body and tail, its color is whit to yellow. The pancreatic tissue is located in the abdominal cavity near to the mass of intestine in the mesenteric network , which is connected with the coiled region of the duodenum in one side and with the extended mesenteries between the dorsal part of stomach and the abdominal part of spleen from the other side. The pancreas gland is surrounded by a loose connective tissue, the trabeculae are extended from it and divided the gland into many lobules which are different in shape
... Show MoreThe current research aims to identify the Impact of strategy of modeling in the of deductive thinking and the attitvde towards mathematics among students in the high school stage
through check the following hypotheses:
1.There is no difference statistically significant at the level (0.05) between the scores mean of the experimental group students who have studied according to the modeling strategy and scores of control group students who have studied according to ordinary method in deductive thinking.
2.
... Show MoreThe interplay of predation, competition between species and harvesting is one of the most critical aspects of the environment. This paper involves exploring the dynamics of four species' interactions. The system includes two competitive prey and two predators; the first prey is preyed on by the first predator, with the former representing an additional food source for the latter. While the second prey is not exposed to predation but rather is exposed to the harvest. The existence of possible equilibria is found. Conditions of local and global stability for the equilibria are derived. To corroborate our findings, we constructed time series to illustrate the existence and the stability of equilibria numerically by varying the different values
... Show MoreIn this paper, the general framework for calculating the stability of equilibria, Hopf bifurcation of a delayed prey-predator system with an SI type of disease in the prey population, is investigated. The impact of the incubation period delay on disease transmission utilizing a nonlinear incidence rate was taken into account. For the purpose of explaining the predation process, a modified Holling type II functional response was used. First, the existence, uniform boundedness, and positivity of the solutions of the considered model system, along with the behavior of equilibria and the existence of Hopf bifurcation, are studied. The critical values of the delay parameter for which stability switches and the nature of the Hopf bifurcat
... Show MoreAn ecological model consisting of prey-predator system involving the prey’s fear is proposed and studied. It is assumed that the predator species consumed the prey according to prey square root type of functional response. The existence, uniqueness and boundedness of the solution are examined. All the possible equilibrium points are determined. The stability analysis of these points is investigated along with the persistence of the system. The local bifurcation analysis is carried out. Finally, this paper is ended with a numerical simulation to understand the global dynamics of the system.
At present, the ability to promote national economy by adjusting to political, economic, and technological variables is one of the largest challenges faced by organization productivity. This challenge prompts changes in structure and line productivity, given that cash has not been invested. Thus, the management searches for investment opportunities that have achieved the optimum value of the annual increases in total output value of the production line workers in the laboratory. Therefore, the application of dynamic programming model is adopted in this study by addressing the division of investment expenditures to cope with market-dumping policy and to strive non-stop production at work.