In the study, the silver nanoparticle were grafted on graphene oxide with and without use of Allium sativum as stabilizing or reducing agent and ultrasonic assistant have been successfully prepared and then their comparative anti-angiogenesis and hemolytic studies have been carried out. The synthesized particles have been characterized by using modern techniques including P-XRD, AT-FTIR, UV-Visible spectroscopy, SEM analysis, and BT-90 Nano size analyzer (BT-90). The results revealed uniform distribution of Ag on the GO sheet in both cases with mean particle size of 32.96 nm with d-spacing 2.3634 nm and 11.65 nm with d-spacing 2.3594 nm for GO-Ag-G NPs and GO-Ag NPs, respectively. The maximum absorbance was obtained at 448.08 nm of GO-Ag-G NPs and 443.29 of GO-Ag NPs. Both types of NPs showed dose-dependent anti-angiogenesis activity analyzed via CAM assay and showed % hemolysis of range (0.0971-.1246) for GO-Ag-G NPs and (0.14-0.5797) for GO-Ag NPs.
To understand dynamics of the COVID-19 disease realistically, a new
SEIAPHR model has been proposed in this article where the infectious
individuals have been categorized as symptomatic, asymptomatic and
super-spreaders. The model has been investigated for existence of a
unique solution. To measure the contagiousness of COVID-19, reproduction
number R is also computed using next generation matrix
method. It is shown that model is locally stable at disease free
equilibrium point when R <1 and unstable for
R >1. The model has been analyzed for
global stability at both of the disease free and endemic equilibrium
points. Sensitivity analysis is also included to examine the effect of
parameters of the model on reproduction number R.
Couple of optimal control problems have been designed to study the
effect of control strategies for disease control and eradication from
the society. Numerical results show that the adopted control approaches
are much effective in reducing new infections.
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