Stochastic models are developed to study the success of a search by what is termed a predator for randomly or contagiously located points, called prey. The model is specified by giving the distribution of the searching time to locate a prey, school or cluster of prey and the joint distribution of handling time and numbers caught from each cluster sighted. If a stationary distribution of prey is assumed and their removal is ignored, then the process is analogous to a cumulative renewal process. The mean numbers of prey or clusters of prey and their variances are readily obtained by use of limit theorems of renewal theory.
No takes yet. Share an insight, caveat, or question.
J. E. Paloheimo (1971) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: