A Class of Diffusion Processes with Killing Arising in Population Genetics

DOI10.1137/0143003zbMath0549.92013OpenAlexW2042056223MaRDI QIDQ3342256

Simon Tavaré, Samuel Karlin

Publication date: 1983

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/dbd8dfca0649450fdb8db66bc995440311681b7d

zbMATH Keywords

diffusion approximationpopulation geneticskilling timesdetection processasymptotical resultsspectral decomposition of the transition densitystate dependent killing rate

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Genetics and epigenetics (92D10) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (7)

Private alleles in a partially isolated population II. Distribution of persistence time and probability of emigration ⋮ Conditioning diffusion processes with killing rates ⋮ Conditioning diffusion processes with respect to the local time at the origin ⋮ Joint distribution of two local times for diffusion processes with the application to the construction of various conditioned processes ⋮ Quasilimiting behavior for one-dimensional diffusions with killing ⋮ The calculation of mean first arrival time for double mutants, crossing the fitness valley ⋮ Hard harvesting of a stochastically changing population

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