The generalized Turner-Bradley-Kirk-Pruitt equation
Several recent results pertaining to nonlinear equations of ecology are applied to a generalization of the Turner-Bradley-Kirk-Pruitt (TBKP) equation, which illustrates a variety of interesting possibilities as regards persistence and extinction. The chief novelty consists in exploiting the value se...
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S016117120211043X |
| Summary: | Several recent results pertaining to nonlinear equations of
ecology are applied to a generalization of the
Turner-Bradley-Kirk-Pruitt (TBKP) equation, which illustrates a
variety of interesting possibilities as regards persistence and
extinction. The chief novelty consists in exploiting the value set
of the equation, that is, the set of values taken on by the
solution as t
increases from 0
to ∞. This aspect of
the subject depends on a new formulation of a condition that was
first introduced by Vance and Coddington in 1989. |
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| ISSN: | 0161-1712 1687-0425 |