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http://hdl.handle.net/1893/1616| Appears in Collections: | Computing Science and Mathematics Journal Articles |
| Peer Review Status: | Refereed |
| Title: | Structured populations: The stabilizing effect of the inflow of newborns from an external source and the net growth rate |
| Author(s): | Farkas, Jozsef Zoltan |
| Contact Email: | jzf@maths.stir.ac.uk |
| Keywords: | Structured population dynamics population inflow net reproduction ratio stability Population dynamics Mathematical models |
| Issue Date: | Jun-2008 |
| Date Deposited: | 17-Sep-2009 |
| Citation: | Farkas JZ (2008) Structured populations: The stabilizing effect of the inflow of newborns from an external source and the net growth rate. Applied Mathematics and Computation, 199 (2), pp. 547-558. http://www.sciencedirect.com/science/journal/00963003; https://doi.org/10.1016/j.amc.2007.10.018 |
| Abstract: | We investigate the effect of a positive population inflow of individuals from an external source on the dynamical behaviour of certain physisologically structured population models. We treat a size-structured model with constant inflow and nonlinear birth rate and an age-structured model with nonlinear (density dependent) inflow and linear birth rate. Analogously to the inherent net reproduction rate we introduce a net growth rate and discuss how this net growth rate can be related to our stability/instability conditions. |
| URL: | http://www.sciencedirect.com/science/journal/00963003 |
| DOI Link: | 10.1016/j.amc.2007.10.018 |
| Rights: | Published in Applied Mathematics and Computation by Elsevier. |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| AMC-12852-Farkas.pdf | Fulltext - Accepted Version | 207.96 kB | Adobe PDF | View/Open |
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