CONTROLLING A LETHAL GROWTH PROCESS,
Abstract
A host carries a lethal growth of size N at time t = o. The growth increases according to a Yule-Furry process and the mortality rate of the host due to the growth is assumed to be proportional to the number of particles in the growth. Periodically the host is given treatment which removes particles from the growth according to a Bernoulli sampling scheme with probability p. The treatment itself has a certain lethality, which we assume to be an increasing function of p. Moreover the mortality rate of the host increases by a term which is proportional to the number of treatments already received and depends on their intensity (p). The problem of choosing the spacing and intensity of the treatments, so as to maximize the probability of survival of the host is an interval of time, or the expected survival time, is discussed. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1967
- Accession Number
- AD0656484
Entities
People
- Marcel F. Neuts
Organizations
- Purdue University