Existence of trajectories joining critical points for a symbiotic system via the conley index

✍ Scribed by Cheng-Dong Zhao

• Book ID: 104352302
• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 832 KB
• Volume: 43
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/s0898-1221(01)00319-4

✦ Synopsis

In this paper, we prove the existence of trajectories joining critical points for ecological systems with three species by constructing the index pair for the isolated invariant set and using the Conley index theory. @ 2002 Elsevier Science Ltd. All rights reserved.

Keywords-Ecological

systems, Conley index, Index pair, Trajectory joining critical points,

(3) We assume that P, Q, and R have transverse intersection.

(4) F(z, y, z), G(z,y, z), and H(z, y, z) are Cl, so we get a C' flow.

(5) Note that for MS big and MI > 0, every boundary point of the set