Information-related changes in contact patterns may trigger oscillations in the endemic prevalence of infectious diseases.

@article{dOnofrio2009InformationrelatedCI,
  title={Information-related changes in contact patterns may trigger oscillations in the endemic prevalence of infectious diseases.},
  author={Alberto d’Onofrio and Piero Manfredi},
  journal={Journal of theoretical biology},
  year={2009},
  volume={256 3},
  pages={
          473-8
        }
}

Figures from this paper

Global stability of infectious disease models with contact rate as a function of prevalence index.
TLDR
This paper considers a SEIR epidemiological model with information--related changes in contact patterns that includes an information variable, a negative feedback on the behavior of susceptible subjects, and a function that describes the role played by the infectious size in the information dynamics.
Delayed information induces oscillations in a dynamical model for infectious disease
TLDR
The study infers that the disease will show persistent oscillations if there is a significant time lag in reporting of infective after the disease outbreak and provides important insights on the delay in dissemination of information.
Pulsating campaigns of human prophylaxis driven by risk perception palliate oscillations of direct contact transmitted diseases
TLDR
Analytically, the interplay between the personal decision to protect oneself from infection and the spreading of an epidemic is explored, by coupling a decision game based on the perceived risk of infection with a Susceptible-Infected-Susceptible model.
Mathematical model for the impact of awareness on the dynamics of infectious diseases.
Delay Induced Oscillations in a Dynamical Model for Infectious Disease
TLDR
A delay differential equation model for the dynamics of infectious diseases is proposed and analysed which accounts for the effect of information on the susceptible population and finds that the disease free equilibrium exists unconditionally, whereas a unique infected equilibrium is obtained when the basic reproduction number (R0) is greater than one.
The Geometric Approach to Global Stability in Behavioral Epidemiology
TLDR
Three behavioral-epidemic models (i.e., epidemic systems including feedbacks that the information about an infectious disease has on its spreading) are introduced, with particular focus on a model of vaccination of adult susceptible subjects.
...
...

References

SHOWING 1-10 OF 59 REFERENCES
A simple model for complex dynamical transitions in epidemics.
TLDR
This work has shown that measles is a natural ecological system that exhibits different dynamical transitions at different times and places, yet all of these transitions can be predicted as bifurcations of a single nonlinear model.
Epidemic models with nonlinear infection forces.
  • Wendi Wang
  • Mathematics
    Mathematical biosciences and engineering : MBE
  • 2006
TLDR
It is found that intervention strategies decrease endemic levels and tend to make the dynamical behavior of a disease evolution simpler.
Destabilization of epidemic models with the inclusion of realistic distributions of infectious periods
  • A. Lloyd
  • Biology
    Proceedings of the Royal Society of London. Series B: Biological Sciences
  • 2001
TLDR
This study illustrates how detailed dynamical properties of a model may depend in an important way on the assumptions made in the formulation of the model.
Threshold Dynamics for Compartmental Epidemic Models in Periodic Environments
The basic reproduction ratio and its computation formulae are established for a large class of compartmental epidemic models in periodic environments. It is proved that a disease cannot invade the
Capturing human behaviour
TLDR
Understanding the dynamics of infectious-disease transmission demands a holistic approach, yet today's models largely ignore how epidemics change individual behaviour, particularly by taking account of behavioural responses to epidemics.
Stochastic amplification in epidemics
TLDR
A stochastic theory for the major dynamical transitions in epidemics from regular to irregular cycles is presented, which relies on the discrete nature of disease transmission and low spatial coupling to show how the amplification of noise varies across these transitions.
Resonance of the epidemic threshold in a periodic environment
TLDR
This paper illustrates the resonance phenomenon on several simple epidemic models with contacts varying periodically on a weekly basis, and explains some surprising differences, e.g., between a periodic SEIR model with an exponentially distributed latency and the same model but with a fixed latency.
Social Contacts and Mixing Patterns Relevant to the Spread of Infectious Diseases
TLDR
This study provides the first large-scale quantitative approach to contact patterns relevant for infections transmitted by the respiratory or close-contact route, and the results should lead to improved parameterisation of mathematical models used to design control strategies.
...
...