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

F. A. Davidson; S. A. Gourley

doi:10.1006/jmaa.2001.7563

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

F. A. Davidson, S. A. Gourley

Research output: Contribution to journal › Article › peer-review

25 Citations (Scopus)

Abstract

We consider an adaptation of the well-known logistic equation in mathematical 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 existence, uniqueness, and asymptotic stability of the nonnegative steady states of this equation.

Original language	English
Pages (from-to)	633-648
Number of pages	16
Journal	Journal of Mathematical Analysis and Applications
Volume	261
Issue number	2
DOIs	https://doi.org/10.1006/jmaa.2001.7563
Publication status	Published - 2001

Keywords

Reaction-diffusion
Delay
Stability

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10.1006/jmaa.2001.7563

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

abstract = "We consider an adaptation of the well-known logistic equation in mathematical 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 existence, uniqueness, and asymptotic stability of the nonnegative steady states of this equation.",

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AU - Gourley, S. A.

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N2 - We consider an adaptation of the well-known logistic equation in mathematical 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 existence, uniqueness, and asymptotic stability of the nonnegative steady states of this equation.

AB - We consider an adaptation of the well-known logistic equation in mathematical 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 existence, uniqueness, and asymptotic stability of the nonnegative steady states of this equation.

KW - Reaction-diffusion

KW - Delay

KW - Stability

U2 - 10.1006/jmaa.2001.7563

DO - 10.1006/jmaa.2001.7563

M3 - Article

SN - 0022-247X

VL - 261

SP - 633

EP - 648

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

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

Abstract

Keywords

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