MULTIPLE CYCLIC SETS CONNECTING SADDLE-POINTS AND LIMIT-CYCLES OF A 4-SPECIES SYSTEM AND ITS UNIFORM PERSISTENCE

Authors
SIKDER A ROY AB
Citation
A. Sikder et Ab. Roy, MULTIPLE CYCLIC SETS CONNECTING SADDLE-POINTS AND LIMIT-CYCLES OF A 4-SPECIES SYSTEM AND ITS UNIFORM PERSISTENCE, Mathematical biosciences, 121(2), 1994, pp. 141-154
Citations number
25
Categorie Soggetti
Mathematical Methods, Biology & Medicine","Mathematics, Miscellaneous","Biology Miscellaneous
Journal title
Mathematical biosciences → ACNP
ISSN journal
00255564
Volume
121
Issue
2
Year of publication
1994
Pages
141 - 154
Database
ISI
SICI code
0025-5564(1994)121:2<141:MCSCSA>2.0.ZU;2-U
Abstract
Considering a model of a generalized Gause-type four-species system of two predator-prey pairs linked by competition, the authors derive suf ficient conditions for the existence of three different invariant cycl ic sets connecting saddle points and limit cycle(s) on the boundary of its state space. Also discussed is the uniform persistence of the mod el in the presence of such cyclic sets.