The Effects of Imitation Dynamics on Vaccination Behaviours in SIR-Network Model
Bibliographic Data
| ID | 15480740 |
|---|---|
| Authors | Sheryl L Chang (0000-0002-6119-828X, The University of Sydney, corresponding author), Mahendra Piraveenan (0000-0001-6550-5358, The University of Sydney), Mikhail Prokopenko (0000-0002-4215-0344, The University of Sydney) |
| Year | 2019 |
| Volume | 16 |
| Issue | 14 |
| Pages | 2477-2477 |
| Publication date | 2019-07-11 |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | International Journal of Environmental Research and Public Health (JOURNAL) |
| Journal identifiers | ISSN: 1661-7827 • E-ISSN: 1660-4601 |
| Publisher | Multidisciplinary Digital Publishing Institute (PUBLISHER • CH) |
| DOI | 10.3390/ijerph16142477 |
| PMID | 31336761 |
| OpenAlex | W2961922215 |
| Language | EN |
| Citations received | 1 |
| References cited | 7 |
We present a series of SIR-network models, extended with a game-theoretic treatment of imitation dynamics which result from regular population mobility across residential and work areas and the ensuing interactions. Each considered SIR-network model captures a class of vaccination behaviours influenced by epidemic characteristics, interaction topology, and imitation dynamics. Our focus is the resultant vaccination coverage, produced under voluntary vaccination schemes, in response to these varying factors. Using the next generation matrix method, we analytically derive and compare expressions for the basic reproduction number R 0 for the proposed SIR-network models. Furthermore, we simulate the epidemic dynamics over time for the considered models, and show that if individuals are sufficiently responsive towards the changes in the disease prevalence, then the more expansive travelling patterns encourage convergence to the endemic, mixed equilibria. On the contrary, if individuals are insensitive to changes in the disease prevalence, we find that they tend to remain unvaccinated. Our results concur with earlier studies in showing that residents from highly connected residential areas are more likely to get vaccinated. We also show that the existence of the individuals committed to receiving vaccination reduces R 0 and delays the disease prevalence, and thus is essential to containing epidemics
Basic reproduction number · Convergence (economics · Disease · Econometrics · Economics · Epidemic model · Expansive · Imitation · Network topology · Population · Sociology · Vaccination · Complex Network Analysis Techniques · Computer Science · COVID-19 epidemiological studies · Demography · Mathematical and Theoretical Epidemiology and Ecology Models · Mathematics · Medicine · Psychology · Social Psychology · Immunology
| Citations per year | 0.33 |
|---|---|
| Citation span | 2023 - 2023 (1) |
| Highly cited | No |