Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2009-08-10
Physics
Condensed Matter
Statistical Mechanics
14 pages, 5 figures
Scientific paper
We study a stochastic process describing the onset of spreading dynamics of an epidemic in a population composed by individuals of three classes: susceptible (S), infected (I), and recovered (R). The stochastic process is defined by local rules and involves the following cyclic process: S$\to$I$\to$R$\to$S (SIRS). The open process S$\to$I$\to$R (SIR) is studied as a particular case of the SIRS process. The epidemic process is analyzed at different levels of description: by a stochastic lattice gas model and by a birth and death process. By means of Monte Carlo simulations and dynamical mean-field approximations we show that the SIRS stochastic lattice gas model exhibit a line of critical points separating two phases: an absorbing phase where the lattice is completely full of S individuals and an active phase where S, I and R individuals coexist, which may or may not present population cycles. The critical line, that corresponds to the onset of epidemic spreading, is shown to belong in the directed percolation universality class. By considering the birth and death process we analyse the role of noise in stabilizing the oscillations.
de Souza David R.
Tomé Tânia
No associations
LandOfFree
Stochastic lattice gas model describing the dynamics of an epidemic does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Stochastic lattice gas model describing the dynamics of an epidemic, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stochastic lattice gas model describing the dynamics of an epidemic will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-120426