Abstract
Global attractivity and uniform persistence are established for both single species growth and two species competition in a periodically pulsed bio-reactor model in terms of principal eigenvalues of the periodic-parabolic eigenvalue problem by appealing to the theories of monotone discrete dynamical systems, abstract persistence, asymptotically periodic semiflows, and perturbation of global attractors.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 368-404 |
| Number of pages | 37 |
| Journal | Journal of Differential Equations |
| Volume | 155 |
| Issue number | 2 |
| DOIs | |
| State | Published - Jul 1 1999 |
Keywords
- Global attractivity
- Positive periodic solutions
- Principal eigenvalues
- Uniform persistence
ASJC Scopus subject areas
- Analysis
- Applied Mathematics