## Communicated by M. Lachowicz The model of age-dependent population dynamics was for the first time described by McKendrick (1926). This model was based on the first-order partial differential equation with the standard initial condition and the non-local boundary condition in integral form. Gur
An age-dependent population equation with delayed birth process
β Scribed by Susanna Piazzera
- Publisher
- John Wiley and Sons
- Year
- 2004
- Tongue
- English
- Weight
- 117 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.462
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β¦ Synopsis
Abstract
Within a semigroup framework, we discuss well posedness and qualitative behaviour of an ageβdependent population equation with delay in the birth process. Using positivity and PerronβFrobenius theory we obtain an explicit stability criterion. Copyright Β© 2004 John Wiley & Sons, Ltd.
π SIMILAR VOLUMES
A result of Smith and Thieme shows that if a semiflow is strongly order preserving, then a typical orbit converges to the set of equilibria. For the equation Ε½ . Ε½ . Ε½ Ε½ Ε½ Ε½ .... with state-dependent delay x t s y x t q f x t y r x t , where ) 0 and f ΛΕ½ . and r are smooth real functions with f 0 s