Optimal test-kit-based intervention strategy of epidemic spreading in heterogeneous complex networks

Subrata Ghosh, Abhishek Senapati, Joydev Chattopadhyay, Chittaranjan Hens, Dibakar Ghosh

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


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 languageEnglish
Article number071101
Issue number7
StatePublished - 1 Jul 2021
Externally publishedYes

Bibliographical note

Funding Information:
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).

Publisher Copyright:
© 2021 Author(s).


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