A study of the influence of the mobility on the phase transitions of the synchronous SIR model. (3rd June 2015)

• Record Type: Journal Article
• Authors: Silva, Roberto da; Fernandes, Henrique A
• Is Part Of: Journal of statistical mechanics. (2015:Jun.)
• Publication Date: 2015-06-03
• Subjects: 3 -- 4 -- 10; 3/110 -- 3/140 -- 4/010 -- 10/105; Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/2015/06/P06011
• Languages: English
• ISSNs: 1742-5468

Abstract

Abstract: By using an appropriate version of the synchronous SIR model, we studied the effects of dilution and mobility on the critical immunization rate. We showed that, by applying time-dependent Monte Carlo (MC) simulations at criticality, and taking into account the optimization of the power law for the density of infected individuals, the critical immunization necessary to block the epidemic in two-dimensional lattices decreases as dilution increases with a logarithmic dependence. On the other hand, the mobility minimizes such effects and the critical recovery probabilities are greater when the probability of movement of the individuals increases. Moreover, we studied the dynamic critical exponent θ which governs the growing of the density of infected individuals under dilution and mobility, when starting each lattice with all individuals as susceptible ones but the individual at the center which is set as infected one.