Haleh Ashki


Stochastic Dynamics In Epidemic Networks


Being healthy is one of the big concerns of each individual, but that has been influenced not only by individual health and life style but also by population health. The spreading and dynamics of a disease within a population is the subject of many studies. To model the progress of an epidemic in a large population, individuals have been classified in two or more groups based on the behavior of disease. A very simple model groups the population into three different compartments: Susceptible, Infected, and Recovered. The contact network, disease transmission and recovery rate play an important role to model the system in order to estimate the time of disease outbreak and the basic reproductive ratio of the disease virus. These two concepts are important for applying preventive care such as vaccination or closing public places. These preventive methods change the connectivity or transition rates over time.