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

TY - JOUR

T1 - The effects of temporal delays in a model for a food-limited diffusing population

AU - Davidson, F. A.

AU - Gourley, S. A.

N1 - dc.publisher: Elsevier

PY - 2001

Y1 - 2001

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 -