Prevention of infectious diseases by public vaccination and individual protection

Abstract

In the face of serious infectious diseases, governments endeavour to implement containment measures such as public vaccination at a macroscopic level. Meanwhile, individuals tend to protect themselves by avoiding contacts with infections at a microscopic level. However, a comprehensive understanding of how such combined strategy influences epidemic dynamics is still lacking. We study a susceptible-infected-susceptible epidemic model with imperfect vaccination on dynamic contact networks, where the macroscopic intervention is represented by random vaccination of the population and the microscopic protection is characterised by susceptible individuals rewiring contacts from infective neighbours. In particular, the model is formulated both in populations without and then with demographic effects. Using the pairwise approximation and the probability generating function approach, we investigate both dynamics of the epidemic and the underlying network. For populations without demography, the emerging degree correlations, bistable states, and oscillations demonstrate the combined effects of the public vaccination program and individual protective behavior. Compared to either strategy in isolation, the combination of public vaccination and individual protection is more effective in preventing and controlling the spread of infectious diseases by increasing both the invasion threshold and the persistence threshold. For populations with additional demographic factors, the integration between vaccination intervention and individual rewiring may promote epidemic spreading due to the birth effect. Moreover, the degree distributions of both networks in the steady state is closely related to the degree distribution of newborns, which leads to uncorrelated connectivity. All the results demonstrate the importance of both local protection and global intervention, as well as the demographic effects.

arXiv comment36 pages, 12 figures, 2 tables, Springer-tex (SVJour3 document class)

References in corpus (24)

• Epidemic spreading in scale-free networks
• Assortative mixing in networks
• Epidemic dynamics and endemic states in complex networks
• Dynamical and correlation properties of the Internet
• Immunization of complex networks
• Efficient Immunization Strategies for Computer Networks and Populations
• Epidemic dynamics on an adaptive network
• Adaptive Coevolutionary Networks: A Review
• Generation of uncorrelated random scale-free networks
• Absence of epidemic threshold in scale-free networks with connectivity correlations
• Towards a characterization of behavior-disease models
• Fluctuating epidemics on adaptive networks
• Epidemic Incidence in Correlated Complex Networks
• Adaptive networks: coevolution of disease and topology
• Traffic-driven Epidemic Spreading in Finite-size Scale-Free Networks
• Contact processes on random graphs with power law degree distributions have critical value 0
• Accuracy of Mean-Field Theory for Dynamics on Real-World Networks
• Enhanced vaccine control of epidemics in adaptive networks
• Effects of immunization in small-world epidemics
• Untangling the interplay between epidemic spreading and transmission network dynamic
• Vaccination intervention on epidemic dynamics in networks
• Efficient local behavioral change strategies to reduce the spread of epidemics in networks
• Exploring the adaptive voter model dynamics with a mathematical triple jump
• Asymptotically inspired moment-closure approximation for adaptive networks

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• Co-evolution of Vaccination Behavior and Perceived Vaccination Risk can lead to a Stag-Hunt like Game
• Contagion dynamics on adaptive multiplex networks with awareness-dependent rewiring
• Competition between vaccination and disease spreading
• A generic model for pandemics in networks of communities and the role of vaccination