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We propose a deterministic compartmental model of infectious disease whichconsiders the test-kits as an important ingredient for the suppression andmitigation of epidemics. A rigorous simulation (with analytical argument) isprovided to reveal the effective reduction of final outbreak size and peak ofinfection as a function of basic reproduction number in a single patch.Further, to study the impact of long and short-distance human migration amongthe patches, we have considered heterogeneous networks where the lineardiffusive connectivity is determined by the network link structure. Wenumerically confirm that implementation of test-kits in the fraction of nodes(patches) having larger degrees or betweenness centralities can reduce the peakof infection (as well as final outbreak size) significantly. A next-generationmatrix based analytical treatment is provided to find out the criticaltransmission probability in the entire network for the onset of epidemics.Finally, the optimal intervention strategy is validated in two real networks:global airport networks and transportation networks of Kolkata, India.

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