𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Two limit cycles in three-dimensional Lotka-Volterra systems

✍ Scribed by Zhengyi Lu; Yong Luo

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
751 KB
Volume
44
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

✦ Synopsis

Among the six classes of Zeeman's classification for three-dimensional Lotka-Volterra competitive systems with limit cycles, besides the heteroclinic cycle case (Case 27), we construct in three cases without heteroclinic cycle (Cases 26, 28, 29) two limit cycles. Our construction gives a partial answer to Hot-bauer and So's problem to these systems.

📜 SIMILAR VOLUMES

Persistence in three-dimensional lotka-v
Persistence in three-dimensional lotka-volterra systems
✍ G.J. Butler; P. Waltman 📂 Article 📅 1988 🏛 Elsevier Science 🌐 English ⚖ 341 KB

An ecosystem is persistent if for any initial configuration, each component population which is initially present in the system is bounded away from zero in the long run. Using a recent dynamical system approach developed by the authors, we obtain a criterion for the persistence of three-dimensional