Critical behavior of an epidemic model of drug resistant diseases

Abstract

In this work, we study the critical behavior of an epidemic propagation model that considers individuals that can develop drug resistance. In our lattice model, each site can be found in one of four states: empty, healthy, normally infected (not drug resistant) and strain infected (drug resistant) states. The most relevant parameters in our model are related to the mortality, cure and mutation rates. This model presents two distinct stationary active phases: a phase with co-existing normal and drug resistant infected individuals and an intermediate active phase with only drug resistant individuals. We employ a finite-size scaling analysis to compute the critical points the critical exponents ratio $\beta /\nu$ governing the phase-transitions between these active states and the absorbing inactive state. Our results are consistent with the hypothesis that these transitions belong to the directed percolation universality class.

References in corpus (13)

• Nonequilibrium Critical Phenomena and Phase Transitions into Absorbing States
• Roughening Transition in a One-Dimensional Growth Process
• Moment ratios for absorbing-state phase transitions
• Pair contact process with diffusion - A new type of nonequilibrium critical behavior?
• Universality class of nonequilibrium phase transitions with infinitely many-absorbing-states
• Epidemic spreading with immunization and mutations
• Numerical study of persistence in systems with absorbing states
• Nonequilibrium Phase Transitions in Epidemics and Sandpiles
• Does hardcore interaction change absorbing type critical phenomena?
• The generalized contact process with n absorbing states
• Pair contact process with a particle source
• Criticality of natural absorbing states
• Static critical behavior in the inactive phase of the pair contact process