Global Stability for Two-Species Lotka–Volterra Systems with Delay
✍ Scribed by Zhengyi Lu; Wendi Wang
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 116 KB
- Volume
- 208
- Category
- Article
- ISSN
- 0022-247X
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✦ Synopsis
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
📜 SIMILAR VOLUMES
By using the continuation theorem of coincidence degree theory, the existence of a positive periodic solution for a two-species nonautonomous competition Lotka-Volterra patch system with time delay, y t = y t r 3 t -a 3 t x 1 t -b 3 t y t -β t 0 -τ K s y t + s ds is established, where r i t a i t i
This paper presents the necessary and sufficient condition for the global stability of the following Lotka-Volterra cooperative or competition system with time delays: It is showed that the positive equilibrium of the system is globally asymptotically stable for all delays τ ij ≥ 0 i j = 1 2 if and