THE EXIT PROBABILITIES OF BROWNIAN MOTION WITH VARIABLE DIMENSION APPLYING TO THE CONTROL OF POPULATION GROWTH

DOI10.1142/S1793524513500277zbMath1300.92090OpenAlexW2100240886MaRDI QIDQ2925857

Lixin Song, Wenbin Che, Dawei Lu

Publication date: 29 October 2014

Published in: International Journal of Biomathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793524513500277

zbMATH Keywords

Brownian motionbiological populationsmall ball estimate

Mathematics Subject Classification ID

Brownian motion (60J65) Population dynamics (general) (92D25)

Cites Work

• The first exit time of a Brownian motion from the Minimum and maximum parabolic domains
• A note on small ball probability of a Gaussian process with stationary increments
• The first exit time for a Bessel process from the minimum and maximum random domains
• The first exit time of a Brownian motion from an unbounded convex domain
• Small ball probabilities of Gaussian fields
• ON ESTIMATES AND THE ASYMPTOTIC BEHAVIOR OF NONEXIT PROBABILITIES OF A WIENER PROCESS TO A MOVING BOUNDARY

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