On Predator-Prey Systems and Small-Gain Theorems
This paper deals with an almost global convergence result forLotka-Volterra systems with predator-prey interactions. These systems canbe written as (negative) feedback systems. The subsystems of the feedbackloop are monotone control systems, possessing particular input-outputproperties. We use a sm...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2004-10-01
|
| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.25 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | This paper deals with an almost global convergence result forLotka-Volterra systems with predator-prey interactions. These systems canbe written as (negative) feedback systems. The subsystems of the feedbackloop are monotone control systems, possessing particular input-outputproperties. We use a small-gain theorem, adapted to a context of systemswith multiple equilibrium points to obtain the desired almost globalconvergence result, which provides sufficient conditions to rule outoscillatory or more complicated behavior that is often observed inpredator-prey systems. |
|---|---|
| ISSN: | 1551-0018 |