## Abstract Sufficient conditions are obtained for the linear stability of the positive equilibrium of the neutral system magnified image in terms of the parameters of the system. The case n=2 is considered in detail and the general case is discussed briefly.
Stability of Neutral Lotka–Volterra Systems
✍ Scribed by Zhang Yi
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 142 KB
- Volume
- 199
- Category
- Article
- ISSN
- 0022-247X
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✦ Synopsis
This paper studies the stability of neutral Lotka᎐Volterra systems with bounded delay and unbounded delay, respectively. Sufficient conditions for stability are given in terms of systems parameters.
📜 SIMILAR VOLUMES
In this paper, a two-species delayed Lotka᎐Volterra system without delayed intraspecific competitions is considered. It is proved that the system is globally stable for all off-diagonal delays , G 0, if and only if the interaction matrix 12 21
## 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