PERSPECTIVES Duelling timescales of host movement and disease recovery determine invasion of disease in structured populations

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Modeling human mobility responses to the large-scale spreading of infectious diseases (2011, background): “This is equivalent to the existence of a second reproductive number at the subpopulation level R * that depends on the mobility parameters and defines the threshold for the epidemic invasion of a finite fraction of subpopulation”
Epidemic modeling in metapopulation systems with heterogeneous coupling pattern: theory and simulations. (2007, background): “The spreading process across subpopulations will therefore occur with a probability that is related to the diﬀusion probability of individuals and the total number of individuals that will experience the infection (Ball, 1997; Cross et al. , 2005, 2007).”
Coexistence and extinction for stochastic Kolmogorov systems (2017, background): “7. 1 2 A. HENING AND D. NGUYEN with the native population? Mathematical models for invasibility have contributed signiﬁcantly to the understanding of the epidemiology of infectious disease outbreaks ([CLSJG05]) and ecological processes ([LM96]; [Cas01]). There is widespread empirical evidence that h”