The maximum size of a closed epidemic
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Publication:4119911
DOI10.2307/1426182zbMath0349.60069OpenAlexW2316278012MaRDI QIDQ4119911
Publication date: 1974
Published in: Unnamed Author (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/1426182
Sums of independent random variables; random walks (60G50) Population dynamics (general) (92D25) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20)
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Strong approximations for epidemic models ⋮ The First-passage Time of the Brownian Motion to a Curved Boundary: an Algorithmic Approach ⋮ On the method of images and the asymptotic behavior of first-passage times ⋮ Remarks on “boundary crossing result for brownian motion” ⋮ An exact and implementable computation of the final outbreak size distribution under Erlang distributed infectious period ⋮ The first exit time stochastic theory applied to estimate the life-time of a complicated system ⋮ Sorting using complete subintervals and the maximum number of runs in a randomly evolving sequence ⋮ An approximation for the inverse first passage time problem ⋮ Reproduction numbers and thresholds in stochastic epidemic models. I: Homogeneous populations ⋮ Optimal control policies for reducing the maximum size of a closed epidemic. II: Stochastic dynamics ⋮ Mathematical models for the control of pests and infectious diseases: A survey ⋮ On Durbin's Series for the Density of First Passage Times ⋮ Extreme values of Markov population processes
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