Stability in discrete population models Public Deposited

http://ir.library.oregonstate.edu/concern/technical_reports/k643b2548

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  • One dimensional nonlinear difference equations have been used to model population growth. The standard biological models have the interesting characteristic that they display global stability if they display local stability. Various researchers have sought a simple explanation for this agreement of local and global stability. Here, we show that enveloping by a linear fractional function is sufficient for global stability. We also show that for seven standard biological models local stability implies enveloping and hence global stability. We derive two methods to demonstrate enveloping and show that these methods can easily be applied to the seven example models.
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  • description.provenance : Made available in DSpace on 2012-02-21T21:48:17Z (GMT). No. of bitstreams: 1 Stability in discrete population models.pdf: 276456 bytes, checksum: 7395b3dada038c36ab6a648b21463b93 (MD5) Previous issue date: 1999
  • description.provenance : Approved for entry into archive by Laura Wilson(laura.wilson@oregonstate.edu) on 2012-02-21T21:48:17Z (GMT) No. of bitstreams: 1 Stability in discrete population models.pdf: 276456 bytes, checksum: 7395b3dada038c36ab6a648b21463b93 (MD5)
  • description.provenance : Submitted by Laura Wilson (laura.wilson@oregonstate.edu) on 2012-02-21T21:46:16Z No. of bitstreams: 1 Stability in discrete population models.pdf: 276456 bytes, checksum: 7395b3dada038c36ab6a648b21463b93 (MD5)

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