Numerical bifurcation analysis of a tri-trophic food web with omnivory

Mathematical Biosciences

Volumn 177-178, Issue , 2002, Pages 201-228

  Kooi, B W ^a   Kuijper, L D J ^a   Boer, M P ^a   Kooijman, S A L M ^a  

^a VU UNIVERSITY AMSTERDAM   (Netherlands)

Author keywords

Bifurcation analysis; Chemostat; Community assembly; Food web; Invasion; Omnivory; Persistence

Indexed keywords

BIFURCATION (MATHEMATICS); BIOMASS; CHEMOSTATS; ECOSYSTEMS; ORDINARY DIFFERENTIAL EQUATIONS;

FOOD WEBS;

BEHAVIORAL RESEARCH;

BIFURCATION; CHEMOSTAT; FOOD WEB; OMNIVORY; TRITROPHIC INTERACTION;

ANIMAL BEHAVIOR; BIOMASS; CONFERENCE PAPER; EQUILIBRIUM CONSTANT; FOOD WEB; MATHEMATICAL ANALYSIS; MATHEMATICAL COMPUTING; NUTRIENT; OMNIVORY; PREDATOR PREY INTERACTION; REACTOR; SEQUENCE ANALYSIS; SPECIES DIFFERENTIATION; TROPHIC CASCADE;

ANIMALS; ECOLOGY; FOOD CHAIN; MODELS, BIOLOGICAL; NUMERICAL ANALYSIS, COMPUTER-ASSISTED; PREDATORY BEHAVIOR;

EID: 0036237542     PISSN: 00255564     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0025-5564(01)00111-0     Document Type: Conference Paper

References (38)

1. Coexistence and collapes: An experimental investigation of the persistent communities of a protist species pool
2. Weak trophic interactions and the balance of nature
3. Permanence and the assembly of ecological communities
4. Effects of enrichment on three-level food chain with omnivory
5. Graphical representation and stability conditions of predator-prey interactions
6. Chaos in a three-species food chain
7. Remarks on food chain dynamics
8. Yield and dynamics of tritrophic food chains
9. Homoclinic and heteroclinic orbits in a tri-trophic food chain
10. Re-evaluating the omnivory-stability relationship in food webs
11. Transients and oscillations in continuous culture
12. Endogenous metabolism and the stability of microbial prey-predator systems
13. Complex dynamic behaviour of autonomous microbial food chains
14. Consequences of population models on the dynamics of food chains
15. Food chain dynamics in the chemostat
16. Resistance of a food chain to invasion by a top predator
17. Food chains in the chemostat: Relationships between mean yield and complex dynamics
18. On models for assembling ecological communities
19. Assessment of preference
20. Continuation techniques and interactive software for bifurcation analysis of ODEs and iterated maps
21. Invading species can stabilize simple trophic systems
22. Chaotic dynamics of a food web in a chemostat
23. Body size consumer-resource dynamics
24. Multiple attractors and boundary crises in a tri-trophic food chain
25. Prey preference by a top predator and the stability of linked food chains
26. The self-organization of trophic structure in ecosystem models: The succession phenomena, trigger regimes and hysteresis
27. The numerical computation of connecting orbits in dynamical systems
28. A numerical toolbox for homoclinic bifurcation analysis
29. Computation of homoclinic solutions to periodic orbits in a reduced water-wave problem
30. The numerical computation of homoclinic orbits for maps