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Global stability for a Lotka-Volterra system with a weakly diagonally dominant matrix

✍ Scribed by Zhengyi Lu

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
162 KB
Volume
11
Category
Article
ISSN
0893-9659

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✦ Synopsis

The unique positive equilibrium of a Lotka-Volterra system with a weakly diagonally dominant interaction matrix is globally stable.

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Global Stability for Two-Species Lotka–V
Global Stability for Two-Species Lotka–Volterra Systems with Delay
✍ Zhengyi Lu; Wendi Wang 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 116 KB

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