title: The effect of delay on contact tracing.
abstract: We consider a model for an infectious disease in the onset of an outbreak. We introduce contact tracing incorporating a tracing delay. The effect of randomness in the delay and the effect of the length of this delay in comparison to the infectious period of the disease respectively to a latency period on the effect of tracing, given e.g. by the change of the reproduction number, is analyzed. We focus particularly on the effect of randomness in the tracing delay.
authors: TU München, Centre for Mathematical Sciences, Boltzmannstr. 3, D-85747 Garching, Germany; Helmholtz Center Munich, Institute for Computational Biology, Ingolstädter Landstr. 1, D-85764 Neuherberg, Germany. Electronic address: johannes.mueller@mytum.de.
authors: Johannes
authors: J
authors: Müller
authors: TU München, Centre for Mathematical Sciences, Boltzmannstr. 3, D-85747 Garching, Germany.
authors: Bendix
authors: B
authors: Koopmann
mesh_terms: D003141:Communicable Diseases / Q000635:transmission; D058872:Epidemics / Q000706:statistics & numerical data*; D006801:Humans; D008962:Models, Theoretical; D013269:Stochastic Processes
keywords: Branching process; Contact tracing; Reproduction number; Stochastic epidemic