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- Publisher
- Springer Journals
- Copyright
- Copyright © 2011 by The Author(s)
- Subject
- Mathematics; Mathematics, general; Theoretical, Mathematical and Computational Physics; Computer Science, general; Statistical Physics, Dynamical Systems and Complexity; Mechanics
- ISSN
- 0167-8019
- eISSN
- 1572-9036
- DOI
- 10.1007/s10440-011-9666-y
- Publisher site
- See Article on Publisher Site
Abstract
We consider a class of structured cell population models described by a first order partial differential equation perturbed by a general birth operator which describes in a unified way a wide class of birth phenomena ranging from cell division to the McKendrick model. Using the theory of positive stochastic semigroups we establish new criteria for an asynchronous exponential growth of solutions to such equations.
Journal
Acta Applicandae Mathematicae – Springer Journals
Published: Dec 30, 2011