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 |
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Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S016117120211043X |
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| _version_ | 1832552360936734720 |
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| author | Ray Redheffer |
| author_facet | Ray Redheffer |
| author_sort | Ray Redheffer |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-658edce3e02d4d42b3eeca908aa6bb39 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-658edce3e02d4d42b3eeca908aa6bb392025-02-03T05:58:52ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-01322738010.1155/S016117120211043XThe generalized Turner-Bradley-Kirk-Pruitt equationRay Redheffer0Department of Mathematics, UCLA, Los Angeles 90095-1555, CA, USASeveral 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.http://dx.doi.org/10.1155/S016117120211043X |
| spellingShingle | Ray Redheffer The generalized Turner-Bradley-Kirk-Pruitt equation International Journal of Mathematics and Mathematical Sciences |
| title | The generalized Turner-Bradley-Kirk-Pruitt equation |
| title_full | The generalized Turner-Bradley-Kirk-Pruitt equation |
| title_fullStr | The generalized Turner-Bradley-Kirk-Pruitt equation |
| title_full_unstemmed | The generalized Turner-Bradley-Kirk-Pruitt equation |
| title_short | The generalized Turner-Bradley-Kirk-Pruitt equation |
| title_sort | generalized turner bradley kirk pruitt equation |
| url | http://dx.doi.org/10.1155/S016117120211043X |
| work_keys_str_mv | AT rayredheffer thegeneralizedturnerbradleykirkpruittequation AT rayredheffer generalizedturnerbradleykirkpruittequation |