This paper studies a class of time-delay reactionαdiffusion systems modeling the dynamics of single or interacting populations. In the logistic equation, we prove that when the magnitude of the instantaneous term is larger than that of the delay terms, the population growth u has the same asymptotic
The Effects of Temporal Delays in a Model for a Food-Limited, Diffusing Population
β Scribed by F.A. Davidson; S.A. Gourley
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 203 KB
- Volume
- 261
- Category
- Article
- ISSN
- 0022-247X
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β¦ Synopsis
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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