Competition between vaccination and disease spreading

Abstract

We study the interaction between epidemic spreading and a vaccination process. We assume that, similar to the disease spreading, also the vaccination process occurs through direct contact, i.e., it follows the standard susceptible-infected-susceptible (SIS) dynamics. The two competing processes are asymmetrically coupled as vaccinated nodes can directly become infected at a reduced rate with respect to susceptible ones. We study analytically the model in the framework of mean-field theory finding a rich phase-diagram. When vaccination provides little protection toward infection, two continuous transitions separate a disease-free immunized state from vaccinated-free epidemic state, with an intermediate mixed state where susceptible, infected and vaccinated individuals coexist. As vaccine efficiency increases, a tricritical point leads to a bistable regime and discontinuous phase transitions emerge. Numerical simulations for homogeneous random networks agree very well with analytical predictions.

arXiv comment12 pages, 7 figures

References in corpus (21)

• Epidemic processes in complex networks
• The spread of epidemic disease on networks
• Immunization of complex networks
• Efficient Immunization Strategies for Computer Networks and Populations
• Dynamical interplay between awareness and epidemic spreading in multiplex networks
• Statistical physics of vaccination
• Cyclic dominance in evolutionary games: A review
• Threshold effects for two pathogens spreading on a network
• Coevolution spreading in complex networks
• Competing epidemics on complex networks
• Suppressing Epidemics with a Limited Amount of Immunization Units
• Vaccination intervention on epidemic dynamics in networks
• Cooperative epidemics on multiplex networks
• Interacting spreading processes in multilayer networks
• Inverse targeting -- an effective immunization strategy
• Epidemic Dynamics of Interacting Two Particle Species on Scale-free Networks
• Message-passing theory for cooperative epidemics
• Immunization Dynamics on a 2-layer Network Model
• Mutually cooperative epidemics on power-law networks
• Prevention of infectious diseases by public vaccination and individual protection
• Interplay between cost and benefits triggers nontrivial vaccination uptake

Cited by in corpus (4)

• Effect of immunization through vaccination on the SIS epidemic spreading model
• Optimal vaccination program for two infectious diseases with cross immunity
• Effects of measures on phase transitions in two cooperative susceptible-infectious-recovered dynamics
• The Co-evolution of Cooperation and Epidemic Spreading