An equivalence result for integral equations with application to branching processes

✍ Scribed by Marek Kimmel

• Publisher: Springer
• Year: 1982
• Tongue: English
• Weight: 599 KB
• Volume: 44
• Category: Article
• ISSN: 1522-9602
• DOI: 10.1016/s0092-8240(82)80027-x

✦ Synopsis

A theorem is proved, concerning expected values of a multitype branching process in a varying environment. The consequence of the theorem is that the branching process can be treated (in the sense of expected values) as a dynamical system with control terms. This is of importance in situations where the process serves as an abstract model of the dynamics of malignant cells for use in chemotherapy. A simple example of this kind is given.