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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


On a neutral Lotka–Volterra system
✍ K. Gopalsamy 📂 Article 📅 1992 🏛 John Wiley and Sons 🌐 English ⚖ 416 KB

## 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.

Global Stability for Two-Species Lotka–V
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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

Global attractor in competitive Lotka–Vo
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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