COMPUTER-AIDED PROOF FOR THE GLOBAL STABILITY OF LOTKA-VOLTERRA SYSTEMS

Authors
LU ZY
Citation
Zy. Lu, COMPUTER-AIDED PROOF FOR THE GLOBAL STABILITY OF LOTKA-VOLTERRA SYSTEMS, Computers & mathematics with applications, 31(12), 1996, pp. 49-59
Citations number
17
Categorie Soggetti
Computer Sciences",Mathematics,"Computer Science Interdisciplinary Applications
Journal title
Computers & mathematics with applications → ACNP
ISSN journal
08981221
Volume
31
Issue
12
Year of publication
1996
Pages
49 - 59
Database
ISI
SICI code
0898-1221(1996)31:12<49:CPFTGS>2.0.ZU;2-J
Abstract
By modifying the mechanical method of determining LaSalle's invariant sets for Lotka-Volterra chain systems [1,2] and repeatedly using Wu's characteristic set method [3,4], it is proved that for a class of Lotk a-Volterra loop systems, the locally asymptotically stable positive eq uilibrium point must be globally stable.