A partial temporary immunity SIR epidemic model involv nonlinear treatment rate is proposed and studied. The basic reproduction number  is determined. The local and global stability of all equilibria of the model are analyzed. The conditions for occurrence of local bifurcation in the proposed epidemic model are established. Finally, numerical simulation is used to confirm our obtained analytical results and specify the control set of parameters that affect the dynamics of the model.

This systematic review aimed to investigate the relation between orthodontic treatment (OT) and the incidence of the gingival black triangle (GBT) after completing treatment with a fixed orthodontic appliance, as well as the associated risk factors and the level of alveolar bone. Electronic and hand searches were conducted in three electronic databases for relevant articles published up to March 2022. Retrieved articles went through a two-step screening procedure, and the risk of bias (RoB) was assessed by the Joanna Briggs Institute checklists. The incidence of GBT after OT was set as the primary outcome, while the secondary outcomes were the risk factors associated with GBT and alveolar bone loss following OT. Out of 421 papers, 5

The present study offered a straightforward, eco-friendly method for the green synthesis of nanoparticles, as it has gained significant attention in recent years. The study set out to demonstrate the bio-synthesis of nanoparticles using common plants such as Eruca sativa know as (jarjer) and Allium ampeloprasum var. porrum know as (korath) to produce copper oxides nanoparticles (CuO NPs) for treating the heavy metal pollution water of Baher Al-Najaf. The result shows the higher level in heavy metal was lead (Pb) 4.6184mg L-1   mg/l followed by the Chromium (Cr) 0.2892 mg L -1 and Cadmium (Cd) 0.1531 mg L-1 mg/l. the Eruca sativa show high efficiency of decreasing the concentration of Lead metal by dropping it to 1.2803 mg L-1, whi