Global attractor in competitive Lotka-Volterra systems with retardation
✍ Scribed by Zhanyuan Hou
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 2002
- Tongue
- English
- Weight
- 246 KB
- Volume
- 9
- Category
- Article
- ISSN
- 1021-9722
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## Abstract For autonomous Lotka–Volterra systems of differential equations modelling the dynamics of __n__ competing species, new criteria are established for the existence of a single point global attractor. Under the conditions of these criteria, some of the species will survive and stabilise at
In this paper, a retarded impulsive n-species Lotka-Volterra competition system with feedback controls is studied. Some sufficient conditions are obtained to guarantee the global exponential stability and global asymptotic stability of a unique equilibrium for such a high-dimensional biological syst