STABILITY OF GRAZING SYSTEMS WITH INFINITE DELAYS

Authors
BAKER CTH TANG ASL
Citation
Cth. Baker et Asl. Tang, STABILITY OF GRAZING SYSTEMS WITH INFINITE DELAYS, Mathematics and computers in simulation, 45(3-4), 1998, pp. 309-317
Citations number
12
Categorie Soggetti
Mathematics,"Computer Science Interdisciplinary Applications","Computer Science Software Graphycs Programming",Mathematics,"Computer Science Interdisciplinary Applications","Computer Science Software Graphycs Programming
Journal title
Mathematics and computers in simulation → ACNP
ISSN journal
03784754
Volume
45
Issue
3-4
Year of publication
1998
Pages
309 - 317
Database
ISI
SICI code
0378-4754(1998)45:3-4<309:SOGSWI>2.0.ZU;2-E
Abstract
We consider paradigms for modelling grazing systems under realistic as sumptions including the effects of delays. We consider, using lineariz ed theory and Liapunov theory, the stability of steady-state positive solutions of each model. The models reflect the fact that, when prey i s sufficiently abundant, the growth rate of predators is independent o f the prey and, when predators are overpopulated, predatory effect is reduced. (C) 1998 IMACS/Elsevier Science B.V.