  We propose a deterministic compartmental model of infectious disease which
considers the test-kits as an important ingredient for the suppression and
mitigation of epidemics. A rigorous simulation (with analytical argument) is
provided to reveal the effective reduction of final outbreak size and peak of
infection as a function of basic reproduction number in a single patch.
Further, to study the impact of long and short-distance human migration among
the patches, we have considered heterogeneous networks where the linear
diffusive connectivity is determined by the network link structure. We
numerically confirm that implementation of test-kits in the fraction of nodes
(patches) having larger degrees or betweenness centralities can reduce the peak
of infection (as well as 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:
global airport networks and transportation networks of Kolkata, India.
