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 |
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Pages (from-to) | 633-648 |
Number of pages | 16 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 261 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2001 |
Keywords
- Reaction-diffusion
- Delay
- Stability