On the low intensity bootstrap for triangular arrays of independent identically distributed random variables

Bootstrap, Resampling, Low intensity, Infinitely divisible laws, Stable laws, Domains of attraction, Lévy processes, 62F40, 60G51,

The role of evolution in the emergence of infectious diseases

It is unclear when, where and how novel pathogens such as human immunodeficiency virus (HIV), monkeypox and severe acute respiratory syndrome (SARS) will cross the barriers that separate their natural reservoirs from human populations and ignite an epidemic spread of novel infectious diseases. New pathogens are believed to emerge from animal reservoirs when ecological changes increase the pathogen's opportunities to enter the human population and to generate subsequent human-to-human transmission. Effective human-to-human transmission requires that the pathogen's basic reproductive number, R0, exceed one, where R0 is the average number of secondary infections arising from one infected individual in a completely susceptible population. However, an increase in R0, even when insufficient to generate an epidemic, nonetheless increases the number of subsequently infected individuals. Here we show that, as a consequence of this, the probability of pathogen evolution to R0>1 and subsequent disease emergence can increase markedly