Modeling the effects of contact tracing on COVID-19 transmission.

In this paper, a mathematical model for COVID-19 that involves contact tracing is studied. The reproduction number and equilibrium for the model are determined and stabilities are examined. The global stabilities results are achieved by constructing Lyapunov functions.

Radio-Enhancing Properties of Bimetallic Au:Pt Nanoparticles: Experimental and Theoretical Evidence.

The use of nanoparticles, in combination with ionizing radiation, is considered a promising method to improve the performance of radiation therapies. In this work, we engineered mono- and bimetallic core-shell gold-platinum nanoparticles (NPs) grafted with poly (ethylene glycol) (PEG). Their radio-enhancing properties were investigated using plasmids as bio-nanomolecular probes and gamma radiation.

A stochastic vector-borne epidemic model: Quasi-stationarity and extinction.

We consider a stochastic model describing the spread of a vector borne disease in a community where individuals (hosts and vectors) die and new individuals (hosts and vectors) are born. The time to extinction of the disease, T, starting in quasi-stationary (conditional on non extinction) is studied. Properties of the limiting distribution are used to obtain an approximate expression for E(T), the mean-parameter in the exponential distribution of the time to extinction, for a finite population.