  When an unprecedented infectious disease with high mortality and
transmissibility emerges, immediate usage of vaccines or medicines is hardly
available. Thus, many health authorities rely on non-pharmaceutical
interventions through traceable fixed contacts. However, in reality, there is
an additional type of transmission routes to the regular and fixed contacts:
the random anonymous infection cases where non-pharmaceutical interventions are
hardly feasible. In our study, such realistic situations are implemented by the
susceptible-infected-recovered model with isolation on multiplex networks. The
multiplex networks are composed of a fixed interaction layer and a layer with
time-varying random interactions to represent the different types of disease
spreading routes. The multiplex networks represent the combinations of the
quenched disorder and annealed disorder. Here, we suggest a preemptive
isolation protocol which isolates the second nearest neighbors of the
hospitalized individuals and compare it with one of the most popular protocol
adopted by many health organizations over the globe. From numerical simulations
we find that our preemptive measure significantly reduces both the final
epidemic size and the number of the isolated per unit time. Our finding
suggests a better non-pharmaceutical intervention which can be adopted to
various types of diseases even though the contact tracing is only partially
available.
