Critical behavior of a vector-mediated propagation of an epidemic process

Abstract

We investigate the critical behavior of a model that mimics the propagation of an epidemic process over a population mediated by a density of diffusive individuals which can infect a static population upon contact. We simulate the above model on finite chains to determine the critical density of vectors above which the system achieves a stationary active state with a finite density of infected individuals. Further, we employ a scaling analysis to determine the order parameter, correlation length and critical relaxation exponents. We found evidences that this model does not belong to the usual direct percolation universality class.