The effects of temporal delays in a model for a food-limited, diffusing population

Authors
Davidson, FA Gourley, SA
Citation
Fa. Davidson et Sa. Gourley, The effects of temporal delays in a model for a food-limited, diffusing population, J MATH ANAL, 261(2), 2001, pp. 633-648
Citations number
13
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
261
Issue
2
Year of publication
2001
Pages
633 - 648
Database
ISI
SICI code
0022-247X(20010915)261:2<633:TEOTDI>2.0.ZU;2-W
Abstract
We consider an adaptation of the well-known logistic equation in mathematic al ecology in which the population is assumed to diffuse and for which the average growth rate is a function of some specified delayed argument. Using a combination of analytical and numerical techniques, we investigate the e xistence, uniqueness, and asymptotic stability of the nonnegative steady st ates of this equation. (C) 2001 Academic Press.