MATERIAL RECYCLING IN A CLOSED AQUATIC ECOSYSTEM .2. BIFURCATION-ANALYSIS OF A SIMPLE FOOD-CHAIN MODEL

Authors
KMET T
Citation
T. Kmet, MATERIAL RECYCLING IN A CLOSED AQUATIC ECOSYSTEM .2. BIFURCATION-ANALYSIS OF A SIMPLE FOOD-CHAIN MODEL, Bulletin of mathematical biology, 58(5), 1996, pp. 983-1000
Citations number
21
Categorie Soggetti
Mathematical Methods, Biology & Medicine","Biology Miscellaneous","Mathematics, Miscellaneous
Journal title
Bulletin of mathematical biology → ACNP
ISSN journal
00928240
Volume
58
Issue
5
Year of publication
1996
Pages
983 - 1000
Database
ISI
SICI code
0092-8240(1996)58:5<983:MRIACA>2.0.ZU;2-X
Abstract
The present paper deals with the bifurcation analysis of a simple food chain model consisting of components like detritus, nutrients, microo rganisms, phytoplankton and zooplankton in an aquatic environment. The food chain model is described by a system of differential equations. If the length of the food chain (LFCH) is equal to 3 or 4, then an asy mptotically stable equilibrium exists. For LFCH = 5 or 6 the non-trivi al equilibrium is unstable and the food-chain model has periodic orbit s.