International Journal of Mathematics and Mathematical Sciences
Volume 32 (2002), Issue 2, Pages 73-80
doi:10.1155/S016117120211043X
Abstract
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.