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Applicable Analysis
An International Journal
Volume 69, 1998 - Issue 3-4
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Original Articles

Global attractivity in a discrete model with quadratic nonlinearity

Yoshihiro Hamaya Department of Mathematical Information Science, Okayama University of Science, 1-1 Ridai-chyo, Okayama, 700, Japan
Pages 257-263 | Published online: 02 May 2007
 
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Abstract

A sufficient condition for the global attractivity of the positive equilibrium point of the delay difference equation, which appears as a model of a single-species population exhibiting the Allee effect in which the per-capita growth rate is a quadratic function of the density and is subject to time delays, is obtained by applying the method of diminishing intervals.

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