• Corpus ID: 37937274

Migrations, vaccinations and epidemic control

  title={Migrations, vaccinations and epidemic control},
  author={Fabio A. C. C. Chalub and Tiago Costa and Paula Patr'icio},
We consider three regions with different public health conditions. In the absence of migration among these regions, the first two have good health conditions and the disease free state is stable; for the third region, on the other hand, the only stable state is the endemic one. When migration is included in the model, we assume that the second region has a disease risk that makes its inhabitants prone to accept to be vaccinated, while the population in the first region tends to reject the… 
1 Citations

Figures from this paper

On a SIR Model in a Patchy Environment Under Constant and Feedback Decentralized Controls with Asymmetric Parameterizations

The paper investigates the existence, allocation (depending on the vaccination control gains) and uniqueness of the disease-free equilibrium point as well as the existence of at least a stable endemic equilibrium point.



A Vaccination Model for a Multi-City System

It is shown that disease eradication by vaccination depend on the transportation structure of the migration network in a very direct manner, and the precise conditions for which this occurs are determined.

Optimal vaccination strategies and rational behaviour in seasonal epidemics

A SIRS model with time dependent transmission rate is considered which confers the same immunity as natural infection and the existence of both optimal and Nash strategies in a general setting is shown.

Asymptotic Profiles of the Steady States for an SIS Epidemic Patch Model

Patch differences in local disease transmission and recovery rates characterize whether patches are low-risk or high-risk, and these differences collectively determine whether the spatial domain, or habitat, is low- risk orhigh-risk.

Threshold of disease transmission in a patch environment

Spatiotemporal Evolution of Ebola Virus Disease at Sub-National Level during the 2014 West Africa Epidemic: Model Scrutiny and Data Meagreness

The authors' estimates show substantial differences in the evolution of the outbreak in the various regions of Guinea, Liberia and Sierra Leone, illustrating the importance of monitoring the outbreak at district level.

The Impact of Human Mobility on HIV Transmission in Kenya

It is found that movement between different regions appears to have a relatively small overall effect on the total increase in HIV cases in Kenya, and the most important consequence of movement patterns was transmission of the disease from high infection to low prevalence areas.

Transmission dynamics for vector-borne diseases in a patchy environment

The model incorporates into the classic Ross–MacDonald model two factors: disease latencies in both hosts and vectors, and dispersal of hosts between patches, which can be useful to health organizations at various levels for setting guidelines or making policies for travels.

Risk Map of Cholera Infection for Vaccine Deployment: The Eastern Kolkata Case

The study shows that even a parsimonious model like GAM predicts high risk areas where cholera outbreaks largely occurred, which is useful for indicating where interventions would be effective in controlling the disease risk.

Spatial patterns in a discrete-time SIS patch model

A discrete-time SIS patch model is formulated and analyzed and sufficient conditions for the limiting DFE to be empty on other high-risk patches are given in terms of disease transmission and recovery rates, habitat connectivity, and the infected movement rate.

Vaccination and the theory of games.

  • C. BauchD. Earn
  • Medicine
    Proceedings of the National Academy of Sciences of the United States of America
  • 2004
It is shown that a formal game theoretical analysis of the problem of whether a sufficient proportion of the population is already immune, either naturally or by vaccination, leads to new insights that help to explain human decision-making with respect to vaccination.