Deterministic limits to stochastic spatial models of natural enemies

American Naturalist

Volumn 159, Issue 1, 2002, Pages 57-80

  Keeling, M J ^a   Wilson, H B ^a   Pacala, S W ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

Lotka Volterra; Moment closure; Nicholson Bailey; Population dynamics; Stability

Indexed keywords

LOTKA-VOLTERRA MODEL; POPULATION MODELING; PREDATOR-PREY INTERACTION; STOCHASTICITY;

EID: 0036145339     PISSN: 00030147     EISSN: None     Source Type: Journal    
DOI: 10.1086/324119     Document Type: Article

References (77)

1. Some discrete-time SI, SIR and SIS epidemic models
2. Population dynamics of an insect herbivore in simple and diverse habitats
3. Genetics and the spatial ecology of species interactions: The Silene-Ustilago system
4. Global stability results for a generalized Lotka-Volterra system with distributed delays: Applications to predator-prey and to epidemic systems
5. Using moment equations to understand stochastically driven spatial pattern formation in ecological systems
6. Extracting qualitative dynamics from experimental data
7. Stochastic structure and nonlinear dynamics of food webs: Qualitative stability in a Lotka-Volterra cascade model
8. Population structure of a predatory beetle: The importance of gene flow for intertrophic level interactions
9. Neoseiulus fallacis: Dispersal and biological control of Tetranychus urticae following minimal inoculations into a strawberry field
10. Dispersal and the stability of predator-prey interactions
11. Pattern formation and the spatial scale of interaction between predators and their prey
12. Dynamics of Lotka-Volterra systems with exploitation
13. The importance of being discrete and spatial
14. Aggregation and the population dynamics of parasitoids and predators
15. The recruitment of parasitoid species to two invading herbivores
16. Coexistence in a patchy environment: Three species of Daphnia in rock pools
17. Random walks in a metapopulation: How much density dependence is necessary for long-term persistence
18. The persistence of host-parasitoid associations in patchy environments. I. A general criterion
19. Spatial structure and chaos in insect population dynamics
20. Infectious disease and species coexistence: A model of Lotka-Volterra form
21. Persistence of an extinction-prone predator-prey interaction through metapopulation dynamics
22. Experimental studies on predation: Dispersion factors and predator-prey oscillations
23. Experimental studies on predation: Complex dispersion and levels of food in an acarine predator-prey interaction
24. Stochastic models of host-macroparasite interaction
25. Prey dispersal and predator persistence
26. Relative movement patterns of a tephritid fly and its parasitoid wasps
27. Habitat fragmentation and the stability of predator-prey interactions
28. Population dynamics in spatially complex environments: Theory and data
29. Space: The final frontier of ecological theory
30. Spatial models of interacting populations
31. Metapopulation moments: Coupling, stochasticity and persistence
32. Correlation models for childhood diseases
33. Re-interpreting space, time lags and functional responses in ecological models
34. Coexistence of any number of species in the Lotka-Volterra competitive system over two patches
35. Self-assembling food webs: A global viewpoint of coexistence of species in Lotka-Volterra communities
36. Moment approximations of individual-based models
37. Dispersion and population interactions
38. From individuals to epidemics
39. Stochastic effects in a model of nematode infection in ruminants
40. Statistical mechanics of population: The lattice Lotka-Volterra model
41. Local founding events as determination of genetic structure in a plant metapopulation
42. Dynamics of age-structured and spatially structured predator-prey interactions: Individual-based models and population-level formulations
43. Aggregation by parasitoids and predators: Effects on equilibrium and stability
44. Individual-based models: Combining testability and generality
45. The pattern of spread of invading species: Two leaf-mining moths colonizing Great Britain
46. The balance of animal populations. 1
47. The persistence of host-parasitoid associations in patchy environments. II. Evaluation of field data
48. Forest models defined by field measurements: Estimation, error analysis and dynamics
49. Spatial scaling in a benthic population model with density-dependent disturbance
50. Linking individual foraging behavior and population spatial distribution in patchy environments: A field example with Mediterranean blue tits
51. Invasion, stability and evolution to criticality in spatially extended, artificial host-pathogen ecologies
52. Lotka-Volterra prey predator model with harvesting and environmental perturbations
53. Stability, variability, and persistence in host-parasitoid systems
54. Persistence and dynamics in lattice models of epidemic spread
55. Dispersal and stability in metapopulations
56. Aggregation and the dynamics of host-parasitoid systems: A discrete-generation model with within-generation redistribution
57. Pathogen invasion and host extinction in lattice structured populations
58. Dispersal of the thistle gallfly Urophora-cardui and its endoparasitoid Urytoma-serratulae (Hymenoptera, Eurytomidae)
59. Prey behavior, prey dispersal, and predator impacts on stream prey
60. Hops as a metapopulation landscape for tetranychid-phytoseiid interactions: Perspectives of intra- and interplant dispersal
61. Metapopulations, dispersal, and predator-prey dynamics: An overview
62. Host-pathogen dynamics in a metapopulation context: The ecological and evolutionary consequences of being spatial
63. Rarity of density dependence or population regulation with lags?
64. Coevolution of patch selection strategies of predator and prey and the consequences for ecological stability
65. Fluctuations in the abundance of a species considered mathematically
66. Fission and the genetic variance among populations: The changing demography of forked fungus beetle populations
67. On the use of the normal approximation in the treatment of stochastic processes
68. Host-parasitoid spatial models: The interplay of demographic stochasticity and dynamics
69. Deterministic and stochastic host-parasit-old dynamics in spatially extended systems
70. Spatial instabilities within the diffusive Lotka-Volterra system: Individual-based simulation results
71. Extinction in competitive Lotka-Volterra systems