Linear age-dependent population growth with harvesting
✍ Scribed by David A. Sánchez
- Publisher
- Springer
- Year
- 1978
- Tongue
- English
- Weight
- 344 KB
- Volume
- 40
- Category
- Article
- ISSN
- 1522-9602
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✦ Synopsis
This paper studies the effect of harvesting a fraction of a population where the population growth is modelled by a linear age-dependent model, the Von Foerster equation. Two harvesting strategies are considered: the first is where a fraction of the population greater than age c is removed, and the second is where a fraction of the population of age greater than c but less than c + n is removed. In the case where the death rate and fertility rate are time independent, the effect of harvesting on the stable age distribution is examined.
📜 SIMILAR VOLUMES
## 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
## Abstract Within a semigroup framework, we discuss well posedness and qualitative behaviour of an age‐dependent population equation with delay in the birth process. Using positivity and Perron–Frobenius theory we obtain an explicit stability criterion. Copyright © 2004 John Wiley & Sons, Ltd.
Ah&act-The solutions of the equations of nonlinear age dependent population dynamics may be associated with a strongly continuous semigroup of nonlinear operators in the Banach space L'(0, m; R"). The infinitesimal generator of this nonlinear semigroup is characterized and an exponential representat