Year: 2005
Type: article
Abstract: We consider a system of three random walkers (a 'cheetah' surrounded by two 'antelopes') diffusing in one dimension. The cheetah and the antelopes diffuse, but the antelopes experience in addition a deterministic relative drift velocity, away from the cheetah, proportional to their distance from the cheetah, such that they tend to move away from the cheetah with increasing time. Using the backward Fokker–Planck equation we calculate, as a function of their initial separations, the probability that the cheetah has caught neither antelope after infinite time.
Authors: Karen Winkler, Alan J Bray
Institution: University of Manchester
Language: English
Subfield: Molecular Biology
Domain: Life Sciences
Open Access status: bronze
OpenAlex ID: W2036440450