Abstract
We propose a deterministic compartmental model of infectious disease that considers the test kits as an important ingredient for the suppression and mitigation of epidemics. A rigorous simulation (with an analytical argument) is provided to reveal the effective reduction of the final outbreak size and the peak of infection as a function of basic reproduction number in a single patch. Furthermore, to study the impact of long and short-distance human migration among the patches, we consider heterogeneous networks where the linear diffusive connectivity is determined by the network link structure. We numerically confirm that implementation of test kits in a fraction of nodes (patches) having larger degrees or betweenness centralities can reduce the peak of infection (as well as the final outbreak size) significantly. A next-generation matrix-based analytical treatment is provided to find out the critical transmission probability in the entire network for the onset of epidemics. Finally, the optimal intervention strategy is validated in two real networks: the global airport network and the transportation network of Kolkata, India.
Original language | English |
---|---|
Article number | 071101 |
Journal | Chaos |
Volume | 31 |
Issue number | 7 |
DOIs | |
State | Published - 1 Jul 2021 |
Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2021 Author(s).
Funding
C.H. was supported by the INSPIRE-Faculty grant (Code No. IFA17-PH193). A.S. was supported by the senior research fellowship from the Council of Scientific & Industrial Research [Grant No. 09/093(0167)/2015/EMR-I], Government of India. J.C. was partially funded by the Technology Innovation Hub on Data Science, Big Data Analytics, and Data Curation (Grant No. NMICPS/006/MD/2020-21 dated 16 October 2020).
Funders | Funder number |
---|---|
Data Curation | NMICPS/006/MD/2020-21 |
Council of Scientific and Industrial Research, India | 09/093(0167)/2015/EMR-I |