It is well known that the spread of cancer or tumor growth increases in polluted environments. In this paper, the dynamic behavior of the cancer model in the polluted environment is studied taking into consideration the delay in clearance of the environment from their contamination. The set of differential equations that simulates this epidemic model is formulated. The existence, uniqueness, and the bound of the solution are discussed. The local and global stability conditions of disease-free and endemic equilibrium points are investigated. The occurrence of the Hopf bifurcation around the endemic equilibrium point is proved. The stability and direction of the periodic dynamics are studied. Finally, the paper is ended with a numerical simul

The research addressed an analytical field investigation of the locality of meander, the factors responsible of the locality of the meander at certain points of the stream other than others, and the role sequence of these factors in the formation process.
The research revealed that the location of forming the meander was associated closely with the scale structural composition of the bank materials from which the first stage of forming the curved stream, for the inhomogeneous or non-identical opposite banks in their scale structural composition saw an activity of differential corrosion, while the homogeneous and identical opposite banks in their scale structural composition saw an identical corrosion activity in its intensity at both

The present study was conducted as atrial to treat secondary hydatidosis in white mice of species Mus musculus. (Balb/c strain), experimentally infected with secondary hydatid cysts of sheep origin. The immunization process was carried by using CF/PS antigen which consist hydatid cyst fluid (CF) antigen, and protoscolices (PS) antigen mixed together and by using two concentrations 7.5, 15 mg/ml. Then derivatives of Benzimidazole, Mebendazole (M) and drugs Albendazole (A) were used 10 and 40 μm/gm body weight respectively. The mixture of drugs was used one week after challenged dose. Criteria taken into consideration to define the activity of the immunization and chemotherapy in this study were reduction in the numeral of cysts, the coeffic

Language plays a major role in all aspects of life. Communication is regarded as the most important of these aspects, as language is used on a daily basis by humanity either in written or spoken forms. Language is also regarded as the main factor of exchanging peoples’ cultures and traditions and in handing down these attributes from generation to generation. Thus, language is a fundamental element in identifying peoples’ ideologies and traditions in the past and the present. Despite these facts, the feminist linguists have objections to some of the language structures, demonstrating that language is gender biased to men. That is, language promotes patriarchal values. This pushed towards developing extensive studies to substantiate s

A new laboratory study conducted on stepped spillways in order to investigate their efficiency of dissipating flow energy. All previous study on stepped spillway indicated that the flow energy dissipation decreased as increasing in discharge. Increasing in the step numbers and the spillway slope led to energy dissipation decrease. In this study, an experimental attempt to increase energy dissipation at variable discharges was performed on stepped spillway and that leads to decreasing the cost of initiating the stilling basin or may be ignoring it. Five spillways were constructed from concrete and tested to investigate and compare among them. Three were roughed by gravel with different size for each one, one of them was s

Background: Removal of bacteria from the pulp system by instrumentation of an infected root canal, will be significantly reduced the number of bacteria, but it is well documented that instrumentation alone can-not clean and kill all bacteria found on the root canal walls. Antibacterial irrigants are needed to kill the remaining microorganisms. The aims of this study was to assess antibacterial effect of titanium tetrafluoride (TiF4) solution and brewing green tea against root canal bacteria and to compare with sodium hypochlorite and normal saline through microbiological and molecular studies. Materials and methods: Microbiological study was carried out to determine the concentration of titanium tetrafluoride and brewing green tea at which

In this paper a prey-predator-scavenger food web model is proposed and studied. It is assumed that the model considered the effect of harvesting and all the species are infected by some toxicants released by some other species. The stability analysis of all possible equilibrium points is discussed. The persistence conditions of the system are established. The occurrence of local bifurcation around the equilibrium points is investigated. Numerical simulation is used and the obtained solution curves are drawn to illustrate the results of the model. Finally, the nonexistence of periodic dynamics is discussed analytically as well as numerically.