| Issue |
EPL
Volume 133, Number 4, February 2021
|
|
|---|---|---|
| Article Number | 46001 | |
| Number of page(s) | 6 | |
| Section | Condensed Matter: Structural, Mechanical and Thermal Properties | |
| DOI | https://doi.org/10.1209/0295-5075/133/46001 | |
| Published online | 31 March 2021 | |
Optimal vaccination program for two infectious diseases with cross-immunity spreading on a network
1 School of Data Science, City University of Hong Kong - Hong Kong SAR, China
2 The State Key Laboratory of Management and Control for Complex Systems, Institute of Automation, Chinese Academy of Sciences - Beijing, China
3 School of Artificial Intelligence, University of Chinese Academy of Sciences - Beijing, China
4 Shenzhen Artificial Intelligence and Data Science Institute (Longhua) - Shenzhen, China
(a) qingpeng.zhang@cityu.edu.hk
Received: 23 December 2020
Accepted: 25 January 2021
There are often multiple diseases with cross-immunity competing for vaccination resources. Here we investigate the optimal vaccination program in a two-layer Susceptible-Infected-Removed (SIR) model, where two diseases with cross-immunity spread in the same population, and vaccines for both diseases are available. We identify three scenarios of the optimal vaccination program, which prevents the outbreaks of both diseases at the minimum cost. We analytically derive a criterion to specify the optimal program based on the costs for different vaccines.
PACS: 64.60.aq – Networks / 87.19.X- – Diseases / 05.70.Jk – Critical point phenomena
© 2021 The author(s)
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