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7 papers · 1 filter
Stochastic epidemic models: a survey
Tom Britton
This paper is a survey paper on stochastic epidemic models. A simple stochastic epidemic model is defined and exact and asymptotic model properties (relying on a large community) a…
Analytical and easily calculated expressions for continuous commutation functions under Gompertz-Makeham mortality
Andreas Nordvall Lagerås
It is known, but perhaps not well-known, that when the mortality is assumed to be of Gompertz-Makeham-type, the expected remaining life-length and the commutation functions used fo…
Epidemic modelling: aspects where stochasticity matters
Tom Britton, David Lindenstrand
Epidemic models are always simplifications of real world epidemics. Which real world features to include, and which simplifications to make, depend both on the disease of interest…
An analysis of two modifications of the Petersburg game
Anders Martin-Löf
Two modifications of the Petersburg game are considered: 1. Truncation, so that the player has a finite capital at his disposal. 2. A cost of borrowing capital, so that the player…
The two-type Richardson model with unbounded initial configurations
Maria Deijfen, Olle Häggström
The two-type Richardson model describes the growth of two competing infections on and the main question is whether both infection types can simultaneously grow to oc…
Negative dependence and the geometry of polynomials
Julius Borcea, Petter Brändén, Thomas M. Liggett
We introduce the class of {\em strongly Rayleigh} probability measures by means of geometric properties of their generating polynomials that amount to the stability of the latter.…