Migration frequency and the persistence of host-parasitoid interactions

Journal of Theoretical Biology

Volumn 221, Issue 4, 2003, Pages 639-654

  Lett, Christophe ^a   Auger, Pierre ^a   Bravo De La Parra, Rafael ^b  

^a UNIVERSITÉ LYON 1   (France)

^b UNIVERSITY OF ALCALÁ   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

HOST-PARASITOID INTERACTION; MIGRATION; PERSISTENCE; POPULATION MODELING;

ARTICLE; DEMOGRAPHY; GROWTH RATE; HOST; HOST PARASITE INTERACTION; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; MIGRATION; PARASITOID; POPULATION GROWTH; PRIORITY JOURNAL;

EID: 0037459935     PISSN: 00225193     EISSN: None     Source Type: Journal    
DOI: 10.1006/jtbi.2003.3213     Document Type: Article

References (59)

1. ADLER F. R. Migration alone can produce persistence of host - parasitoid models. Am. Nat. 141:1993;642-650.
2. ALLEN J. C., BREWSTER C. C., SLONE D. H. Spatially explicit ecological models: a spatial convolution approach. Chaos Solitons Fractals. 12:2001;333-347.
3. ALTIZER S. M., OBERHAUSER K. S., BROWER L. P. Associations between host migration and the prevalence of a protozoan parasite in natural populations of adult monarch butterflies. Ecol. Entomol. 25:2000;125-139.
4. AUGER P., BRAVO DE LA PARRA R. Methods of aggregation of variables in population dynamics. C. R. Acad. Sci. III. 323:2000;665-674.
5. AUGER P., POGGIALE J.-C. Emergence of population growth models: fast migration and slow growth. J. theor. Biol. 182:1996;99-108.
6. AUGER P., POGGIALE J.-C. Aggregation and emergence in systems of ordinary differential equations. Math. Comput. Model. 27:1998;1-21.
7. AUGER P., PONTIER D. Fast game theory coupled to slow population dynamics: the case of domestic cat populations. Math. Biosci. 148:1998;65-82.
8. AUGER P., CHARLES S., VIALA M., POGGIALE J.-C. Aggregation and emergence in ecological modelling: integration of ecological levels. Ecol. Model. 127:2000a;11-20.
9. AUGER P., POGGIALE J.-C., CHARLES S. Emergence of individual behaviour at the population level. Effects of density-dependent migration on population dynamics. C. R. Acad. Sci. III. 323:2000b;119-127.
10. BASCOMPTE J., SOLÉ R. V. Rethinking complexity: modelling spatiotemporal dynamics in ecology. Trends Ecol. Evol. 10:1995;361-366.
11. BERNSTEIN C., AUGER P., POGGIALE J.-C. Predator migration decisions, the ideal free distribution, and predator-prey dynamics. Am. Nat. 153:1999;267-281.
12. BONSALL M. B., HASSELL M. P. The effects of metapopulation structure on indirect interactions in host - parasitoid assemblages. Proc. R. Soc. Lond. B Biol. Sci. 267:2000;2207-2212.
13. BRAVO DE LA PARRA R., SÁNCHEZ E. Aggregation methods in population dynamics discrete models. Math. Comput. Model. 27:1998;23-39.
14. BRAVO DE LA PARRA R., SÁNCHEZ E., ARINO O., AUGER P. A discrete model with density dependent fast migration. Math. Biosci. 157:1999;91-109.
15. BRIGGS C. J., LATTO J. The effect of dispersal on the population of a gall-forming midge and its parasitoids. J. Anim. Ecol. 69:2000;96-105.
16. BYRNE D. N. Migration and dispersal by the sweet potato whitefly. Bemisia tabaci. Agric. Forest Meteorol. 97:1999;309-316.
17. CHARLES S., BRAVO DE LA PARRA R., MALLET J.-P., PERSAT H., AUGER P. A density dependent model describing Salmo trutta population dynamics in an arborescent river network. Effects of dams and channelling. C. R. Acad. Sci. III. 321:1998;979-990.
18. CHARLES S., BRAVO DE LA PARRA R., MALLET J.-P., PERSAT H., AUGER P. Annual spawning migrations in modelling brown trout population dynamics inside an arborescent river network. Ecol. Model. 133:2000;15-31.
19. CHAUMOT, A. CHARLES, S. FLAMMARION, P. GARRIC, J. AUGER, P. Using variables aggregation methods to assess toxicant effects on population dynamics in spatial systems, Ecol. Appl. 12, 1771, 1784.
20. COMINS H. N., BLATT D. W. E. Prey-predator models in spatially heterogeneous environments. J. theor. Biol. 48:1974;75-83.
21. COMINS H. N., HASSELL M. P. Persistence of multispecies host - parasitoid interactions in spatially distributed models with local dispersal. J. theor. Biol. 183:1996;19-28.
22. COMINS H. N., HASSELL M. P., MAY R. M. The spatial dynamics of host - parasitoid systems. J. Anim. Ecol. 61:1992;735-748.
23. EDELSTEIN-KESHET L. Mathematical Models in Biology. 1988;McGraw-Hill, New york.
24. FOX L. R., EISENBACH J. Contrary choices: possible exploitation of enemy-free space by herbivorous insects in cultivated vs. wild crucifers. Oecologia. 89:1992;574-579.
25. GODFRAY H. C. J. Parasitoids. Behavioral and Evolutionary Ecology. 1994;Princeton University Press, Princeton.
26. HASSELL M. P. host - parasitoid population dynamics. J. Anim. Ecol. 69:2000a;543-566.
27. HASSELL M. P. The Spatial and Temporal Dynamics of host - parasitoid Interactions. 2000b;Oxford University Press, New York.
28. HASSELL M. P., MAY R. M. Stability in insect host-parasite models. J. Anim. Ecol. 42:1973;693-726.
29. HASSELL M. P., MAY R. M. Aggregation of predators and insect parasites and its effect on stability. J. Anim. Ecol. 43:1974;567-594.
30. HASSELL M. P., WILSON H. B. The dynamics of spatially distributed host - parasitoid systems. Tilman D., Kareiva P. Spatial Ecology. The Role of Space in Population Dynamics and Interspecific Interactions. 1997;75-110 Princeton University Press, Princeton.
31. HASSELL M. P., COMINS H. N., MAY R. M. Spatial structure and chaos in insect population dynamics. Nature. 353:1991a;255-258.
32. HASSELL M. P., COMINS H. N., MAY R. M. Species coexistence and self-organizing spatial dynamics. Nature. 370:1994;290-292.
33. HASSELL M. P., MAY R. M., PACALA S. W., CHESSON P. L. The persistence of host - parasitoid associations in patchy environments. I. A general criterion. Am. Nat. 138:1991b;568-583.
34. HASTINGS A. Parasitoid spread: lessons for and from invasion biology. Hochberg M. E., Ives A. R. Parasitoid Population Biology. 2000;70-82 Princeton University Press, Princeton.
35. HOLT R. D., HASSELL M. P. Environmental heterogeneity and the stability of host - parasitoid interactions. J. Anim. Ecol. 62:1993;89-100.
36. IVES A. R. Continuous-time models of host - parasitoid interactions. Am. Nat. 140:1992;1-29.
37. IWASA Y., ANDREASEN V., LEVIN S. A. Aggregation in models ecosystems I. Perfect aggregation. Ecol. Model. 37:1987;287-302.
38. IWASA Y., LEVIN S. A., ANDREASEN V. Aggregation in models ecosystems II. Approxi-mate aggregation. IMA J. Math. Appl. Med. Biol. 6:1989;1-23.
39. KEELING M. J., WILSON H. B., PACALA S. W. Deterministic limits to stochastic spatial models of natural enemies. Am. Nat. 159:2002;57-80.
40. MAY R. M. host - parasitoid systems in patchy environments: a phenomenological model. J. Anim. Ecol. 47:1978;833-843.
41. PACALA S. W., HASSELL M. P., MAY R. M. host - parasitoid associations in patchy environments. Nature. 344:1990;150-153.
42. REEVE J. D. Environmental variability, migration, and persistence in host - parasitoid systems. Am. Nat. 132:1988;810-836.
43. REEVE J. D. Stability, variability, and persistence in host - parasitoid systems. Ecology. 71:1990;422-426.
44. ROHANI P., MIRAMONTES O. host - parasitoid metapopulations: the consequences of parasitoid aggregation on spatial dynamics and searching efficiency. Proc. R. Soc. Lond. B Biol. Sci. 260:1995;335-342.
45. ROHANI P., RUXTON G. D. Dispersal and stability in metapopulations. IMA J. Math. Appl. Med. Biol. 16:1999a;297-306.
46. ROHANI P., RUXTON G. D. Dispersal-induced instabilities in host - parasitoid metapopulations. Theor. Popul. Biol. 55:1999b;23-36.
47. ROHANI P., GODFRAY H. C. J., HASSELL M. P. Aggregation and the dynamics of host - parasitoid systems: a discrete-generation model with within-generation redistribution. Am. Nat. 144:1994;491-509.
48. ROHANI P., MAY R. M., HASSELL M. P. Metapopulations and equilibrium stability: the effects of spatial structure. J. theor. Biol. 181:1996;97-109.
49. ROHANI P., LEWIS T. J., GRUNBAUM D., RUXTON G. Spatial self-organization in ecology: pretty patterns or robust reality? Trends Ecol. Evol. 12:1997;70-74.
50. SANZ L., BRAVO DE LA PARRA R. Variables aggregation in a time discrete linear model. Math. Biosci. 157:1999;111-146.
51. SAVILL N. J., ROHANI P., HOGEWEG P. Self-reinforcing spatial patterns enslave evolution in a host - parasitoid system. J. theor. Biol. 188:1997;11-20.
52. SCHOFIELD P., CHAPLAIN M., HUBBARD S. Mathematical modelling of host - parasitoid systems: effects of chemically mediated parasitoid foraging strategies on within- and between-generation spatio-temporal dynamics. J. theor. Biol. 214:2002;31-47.
53. SCHREIBER S. J., FOX L. R., GETZ W. M. Coevolution of contrary choices in host - parasitoid systems. Am. Nat. 155:2000;637-648.
54. 21 rule'. Trends Ecol. Evol. 8:1993;400-405.
55. TENHUMBERG B., KELLER M. A., POSSINGHAM H. G., TYRE A. J. Optimal patch-leaving behaviour: a case study using the parasitoid Cotesia rubecula. J. Anim. Ecol. 70:2001;683-691.
56. vAN BAALEN M., SABELIS M. W. Coevolution of patch selection strategies of predator and prey and the consequences for ecological stability. Am. Nat. 142:1993;646-670.
57. vAN BAALEN M., SABELIS M. W. Nonequilibrium population dynamics of "ideal and free" prey and predators. Am. Nat. 154:1999;69-88.
58. WEISSER W. W., HASSELL M. P. Animals 'on the move' stabilize host - parasitoid systems. Proc. R. Soc. Lond. B Biol. Sci. 263:1996;749-754.
59. WEISSER W. W., JANSEN V. A. A., HASSELL M. P. The effects of a pool of dispersers on host - parasitoid systems. J. theor. Biol. 189:1997;413-425.