Extinction thresholds in host-parasite dynamics

Annales Zoologici Fennici

Volumn 40, Issue 2, 2003, Pages 115-130

  Deredec, Anne ^a   Courchamp, Franck ^a  

^a UNIVERSITÉ PARIS SUD   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ALLEE EFFECT; EPIDEMIOLOGY; EXTINCTION; HOST-PARASITE INTERACTION; POPULATION DYNAMICS; THRESHOLD;

EID: 0038693574     PISSN: 0003455X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Conference Paper

References (107)

1. Amarasekare, P. 1998: Allee effects in metapopulation dynamics. - Am. Nat. 152: 298-302.
2. Anderson, R. M. 1982a: Fox rabies. - In: Anderson, R. M. (ed.), Population dynamics of infectious diseases. Theory and applications: 242-261. Chapman & Hall, London.
3. Anderson, R. M. 1982b: Population dynamics of infectious diseases. Theory and applications. - Chapman & Hall, London.
4. Anderson, R. M. 1994: The Croonian lecture, 1994 - Populations, infectious-disease and immunity - a very nonlinear world. - Philos. Trans. R. Soc. Lond. B 346: 457-505.
5. Anderson, R. M. & May, R. M. 1978: Regulation and stability of host-parasite population interactions. 1. regulatory process. - J. Anim. Ecol. 47: 219-247.
6. Anderson, R. M. & May, R. M. 1979: Population biology of infectious diseases: Part I. Nature 280: 361-367.
7. Anderson, R. M. & May, R. M. 1981: The population-dynamics of micro-parasites and their invertebrate hosts. - Philos. Trans. R. Soc. Lond. B 291: 451-524.
8. Anderson, R. M. & May, R. M. 1991: Infectious diseases of humans. Dynamics and control. - Oxford University Press, New York.
9. Antonovics, J., Iwasa, Y. & Hassell, M. P. 1995: A generalized-model of parasitoid, venereal, and vector-based transmission processes. - Am. Nat. 145: 661-675.
10. Bailey, N. T. J. 1964: The elements of stochastic processes. - John Wiley & Sons, Inc., New York.
11. Bailey, N. T. J. 1975: The mathematical theory of infectious diseases and its applications. - Charles Griffin & Company Ltd., London & High Wycombe.
12. Barlow, N. D. 1996: The ecology of wildlife disease control: Simple models revisited. - J. Appl. Ecol. 33: 303-314.
13. Barlow, N. D. 2000: Non-linear transmission and simple models for bovine tuberculosis. - J. Anim. Ecol. 69: 703-713.
14. Bartlett, M. S. 1957: Measles periodicity and community size. - J. Roy. Stat. Soc. A 120: 48-70.
15. Bascompte, J. & Rodriguez-Trelles, F. 1998: Eradication thresholds in epidemiology, conservation biology and genetics. - J. Theor. Biol. 192: 415-418.
16. Bascompte, J. & Sole, R. V. 1996: Habitat fragmentation and extinction thresholds in spatially explicit models. - J. Anim. Ecol. 65: 465-473.
17. Begon, M., Hazel, S. M., Baxby, D., Bown, K., Cavanagh, R., Chantrey, J., Jones, T. & Bennett, M. 1999: Transmission dynamics of a zoonotic pathogen within and between wildlife host species. - Proc. R. Soc. Lond. B 266: 1939-1945.
18. Bester, M. N., Bloomer, J. P., Bartlett, P. A., Muller, D. D., van Rooyen, M. & Buchner, H. 2000: Final eradication of feral cats from sub-Antarctic Marion Island, southern Indian Ocean. - South Afr. J. Wildl. Res. 30: 53-57.
19. Black, F. L. 1966: Measles endemicity in insular populations: critical community size and its evolutionnary implication. - J. Theor. Biol. 11: 207-211.
20. Bolker, B. M. & Grenfell, B. T. 1996: Impact of vaccination on the spatial correlation and persistence of measles dynamics. - Proc. Natl. Acad. Sci. U.S.A. 93: 12648-12653.
21. Brassil, C. E. 2001: Mean time to extinction of a metapopulation with an Allee effect. - Ecol. Model. 143: 9-16.
22. Caughley, G. 1994: Directions in conservation biology. - J. Anim. Ecol. 63: 215-244.
23. Clout, M. N. & Merton, D. V. 1998: Saving the Kakapo: the conservation of the world's most peculiar parrot. - Bird Cons. Int. 8: 281-296.
24. Courchamp, F., Clutton-Brock, T. & Grenfell, B. 1999a: Inverse density dependence and the Allee effect. - Trends Ecol. Evol. 14: 405-410.
25. Courchamp, F., Grenfell, B. & Clutton-Brock, T. 1999b: Population dynamics of obligate cooperators. - Proc. R. Soc. Lond. B 266: 557-563.
26. Courchamp, F., Clutton-Brock, T. & Grenfell, B. 2000a: Multipack dynamics and the Allee effect in the African wild dog, Lycaon pictus. - Anim. Conserv. 3: 277-285.
27. Courchamp, F., Grenfell, B. T. & Clutton-Brock, T. H. 2000b: Impact of natural enemies on obligately cooperative breeders. - Oikos 91: 311-322.
28. Crawley, M. J. 1992: Natural enemies. The population biology of predators, parasites and diseases. - Blackwell Scientific Publications, Cambridge.
29. D'amico, V., Elkinton, J. S., Dwyer, G., Burand, J. P. & Buonaccorsi, J. P. 1996: Virus transmission in gypsy moths is not a simple mass action process. - Ecology 77: 201-206.
30. De Jong, M. C. M., Bouma, A., Diekmann, O. & Heesterbeek, H. 2002: Modelling transmission: mass action and beyond. - Trends Ecol. Evol. 17: 64.
31. De Jong, M. C. M., Diekmann, O. & Heesterbeek, H. 1995: How does transmission of infection depend on population size? - In: Mollison, D. (ed.), Epidemic models: their structure and relation to data: 84-94. Cambridge University Press, Cambridge.
32. Dennis, B. 1989: Allee effects: population growth, critical density and the chance of extinction. - Nat. Res. Model. 3: 481-538.
33. Dennis, B. 2002: Allee effects in stochastic populations. - Oikos 96: 389-401.
34. Dietz, K. 1982: Overall population patterns in the transmission cycle of infectious agents. - In: Anderson, R. M. & May, R. M. (eds.), Population biology of infectious diseases: 87-102. Springer-Verlag, Berlin.
35. Dietz, K. & Schenzle, D. 1985: Proportionate mixing models for age-dependent infection transmission. - J. Math. Biol. 22: 117-120.
36. Dushoff, J. 1996: Incorporating immunological ideas in epidemiological models. - J. Theor. Biol. 180: 181-187.
37. Dwyer, G. 1991: The roles of density, stage, and patchiness in the transmission of an insect virus. - Ecology 72: 559-574.
38. Dwyer, G. & Elkinton, J. S. 1993: Using simple models to predict virus epizootics in gypsy moth populations. - J. Anim. Ecol. 62: 1-11.
39. Etienne, R., Wertheim, B., Hemerik, L., Schneider, P. & Powell, J. 2002: The interaction between dispersal, the Allee effect and scramble competition affects population dynamics. - Ecol. Model. 148: 153-168.
40. Fahrig, L. 2001: How much habitat is enough? - Biol. Conserv. 100: 65-74.
41. Fahrig, L. 2002: Effect of habitat fragmentation on the extinction threshold: A synthesis. - Ecol. Appl. 12: 346-353.
42. Fauvergue, X., Hopper, K. R. & Antolin, M. F. 1995: Mate finding via a trail sex-pheromone by a parasitoid wasp. - Proc. Natl. Acad. Sci. U.S.A. 92: 900-904.
43. Fenton, A., Fairbairn, J. P., Norman, R. & Hudson, P. J. 2002: Parasite transmission: reconciling theory and reality. - J. Anim. Ecol. 71: 893-905.
44. Ferdy, J.-B. & Molofsky, J. 2002: Allee effect, spatial structure and species coexistence. - J. Theor. Biol. 217: 413-424.
45. Getz, W. M. & Pickering, J. 1983: Epidemic models: thresholds and population regulation. - Am. Nat. 121: 892-898.
46. Grenfell, B. & Harwood, J. 1997: (Meta)population dynamics of infectious diseases. - Trends Ecol. Evol. 12: 395-399.
47. Grenfell, B. T., Lonergan, M. E. & Harwood, J. 1992: Quantitative investigations of the epidemiology of Phocine Distemper Virus (PDV) in European common seal populations. - Sci. Total Environ. 115: 15-29.
48. Grevstad, F. S. 1999: Factors influencing the chance of population establishment: Implications for release strategies in biocontrol. - Ecol. Appl. 9: 1439-1447.
49. Gubbins, S., Gilligan, C. A. & Kleczkowski, A. 2000: Population dynamics of plant-parasite interactions: Thresholds for invasion. - Theor. Popul. Biol. 57: 219-233.
50. Gulland, F. M. D. 1995: The impact of infectious diseases on wild animal populations - a review. - In: Grenfell, B. T. & Dobson, A. (eds.), Ecology of infectious diseases in natural populations: 20-51. Cambridge University Press, Cambridge.
51. Gyllenberg, M., Hemminki, J. & Tammaru, T. 1999: Allee effects can both conserve and create spatial heterogeneity in population densities. - Theor. Popul. Biol. 56: 231-242.
52. Hanski, I. & Gilpin, M. 1991: Metapopulation dynamics: brief history and conceptual domain. - Biol. J. Linnean Soc. 42: 17-38.
53. Hanski, I. & Ovaskainen, O. 2000: The metapopulation capacity of a fragmented landscape. - Nature 404: 755-758.
54. Hanski, I., Moilanen, A. & Gyllenberg, M. 1996: Minimum viable metapopulation size. - Am. Nat. 147: 527-541.
55. Heesterbeek, J. A. P. 2002: A brief history of R-0 and a recipe for its calculation. - Acta Biotheor. 50: 189-204.
56. Heesterbeek, J. A. P. & Roberts, M. G. 1995: Threshold quantities for helminth infections. - J. Math. Biol. 33: 415-434.
57. Hess, G. 1996: Disease in metapopulation models: implications for conservation. - Ecology 77: 1617-1632.
58. Hess, G. R. 1994: Conservation corridors and contagious disease - a cautionary note. - Conserv. Biol. 8: 256-262.
59. Hethcote, H. W. & Vanark, J. W. 1987: Epidemiologic models for heterogeneous populations - proportionate mixing, parameter-estimation, and immunization programs. - Math. Biosci. 84: 85-118.
60. Hill, M. F. & Caswell, H. 1999: Habitat fragmentation and extinction thresholds on fractal landscapes. - Ecol. Lett. 2: 121-127.
61. Hochberg, M. E. 1991: Non-linear transmission rates and the dynamics of infectious disease. - J. Theor. Biol. 153: 301-321.
62. Hopper, K. R. & Roush, R. T. 1993: Mate finding, dispersal, number released, and the success of biological-control introductions. - Ecol. Entomol. 18: 321-331.
63. Keeling, M. & Grenfell, B. 1999: Stochastic dynamics and a power law for measles variability. - Philos. Trans. R. Soc. Lond. B 354: 769-776.
64. Keeling, M. J. & Grenfell, B. T. 1997: Disease extinction and community size: Modeling the persistence of measles. - Science 275: 65-67.
65. Keitt, T. H., Lewis, M. A. & Holt, R. D. 2001: Allee effects, invasion pinning, and species' borders. - Am. Nat. 157: 203-216.
66. Kermack, W. O. & McKendrick, A. G. 1927: Contributions to the mathematical theory of epidemics. 1. - Proc. R. Soc. Lond. B 115: 700-721. [Reprinted in Bull. Math. Biol. 1991: 53(1-2): 33-55].
67. Knell, R. J., Begon, M. & Thompson, D. J. 1996: Transmission dynamics of Bacillus thuringiensis infecting Plodia interpunctella: A test of the mass action assumption with an insect pathogen. - Proc. R. Soc. Lond. B 263: 75-81.
68. Knell, R. J., Begon, M. & Thompson D. J. 1998a: Host-pathogen population dynamics, basic reproductive rates and threshold densities. - Oikos 81: 299-308.
69. Knell, R. J., Begon, M. & Thompson, D. J. 1998b: Transmission of Plodia interpunctella granulosis virus does not conform to the mass action model. - J. Anim. Ecol. 67: 592-599.
70. Lafferty, K. D. & Gerber, L. R. 2002: Good medicine for conservation biology: The intersection of epidemiology and conservation theory. - Conserv. Biol. 16: 593-604.
71. Lande, R. 1987: Extinction thresholds in demographic models of territorial populations. - Am. Nat. 130: 624-635.
72. Lande, R. 1995: Mutation and conservation. - Conserv. Biol. 9: 782-791.
73. Larkin, J. L., Maehr, D. S., Cox, J. J., Wichrowski, M. W. & Crank, R. D. 2002: Factors affecting reproduction and population growth in a restored elk Cervus elaphas nelsoni population. - Wildlife Biol. 8: 49-54.
74. Lewis, M. A. & Kareiva, P. 1993: Allee dynamics and the spread of invading organisms. - Theor. Popul. Biol. 43: 141-158.
75. May, R. M. 1977: Togetherness among Schistosomes: its effects on the dynamics of the infection. - Math. Biosci. 35: 301-343.
76. May, R. M. & Anderson R. M. 1978: Regulation and stability of host-parasite population interactions. 2. Destabilizing processes. - J. Anim. Ecol. 47: 249-267.
77. May, R. M. & Anderson, R. M. 1979: Population biology of infectious diseases. Part II. - Nature 280: 455-461.
78. May, R. M., Hassell, M. P., Anderson, R. M. & Tonkyn, D. W. 1981: Density dependence in host-parasitoid models. - J. Anim. Ecol. 50: 855-865.
79. McCallum, H., Barlow, N. & Hone, J. 2001: How should pathogen transmission be modelled? - Trends Ecol. Evol. 16: 295-300.
80. McCallum, H., Barlow, N. & Hone, J. 2002: Modelling transmission: mass action and beyond - Response from McCallum, Barlow and Hone. - Trends Ecol. Evol. 17: 64-65.
81. McCallum, H. & Dobson, A. 1995: Detecting disease and parasite threats to endangered species and ecosystems. - Trends Ecol. Evol. 10: 190-194.
82. McCallum, H. & Dobson, A. 2002: Disease, habitat fragmentation and conservation. - Proc. R. Soc. Lond. B 269: 2041-2049.
83. Minchella, D. J. & Scott, M. E. 1991: Parasitism - a cryptic determinant of animal community structure. - Trends Ecol. Evol. 6: 250-254.
84. Murdoch, W. W. & Briggs, C. J. 1996: Theory for biological control: recent developments. - Ecology 77: 2001-2013.
85. Nee, S. 1994: How populations persist. - Nature 367: 123-124.
86. Pagel, M. & Payne, R. J. H. 1996: How migration affects estimation of the extinction threshold. - Oikos 76: 323-329.
87. Regoes, R. R., Ebert, D. & Bonhoeffer, S. 2002: Dose-dependent infection rates of parasites produce the Allee effect in epidemiology. - Proc. R. Soc. Lond. B 269: 271-279.
88. Roberts, M. G. 1995: A pocket guide to host-parasite models. - Parasitology Today 11: 172-177.
89. Saether, B. E., Ringsby, T. H. & Roskaft, E. 1996: Life history variation, population processes and priorities in species conservation: Towards a reunion of research paradigms. - Oikos 77: 217-226.
90. Sasal, P., Durand, P., Faliex, E. & Morand, S. 2000: Experimental approach to the importance of parasitism in biological conservation. - Mar. Ecol.-Prog. Ser. 198: 293-302.
91. Scott, M. E. 1988: The impact of infection and disease on animal populations: implications for conservation biology. - Conserv. Biol. 2: 40-56.
92. Shigesada, N. & Kawasaki, K. 1997: Epidemic models and propagation of infectious diseases. - In: May, R. N. & Harvey, P. H. (eds.), Biological invasions: theory and practice: 144-165. Oxford series in Ecology and Evolution. Oxford Universtiy Press.
93. Smith, G. C. & Cheeseman, C. L. 2002: A mathematical model for the control of diseases in wildlife populations: culling, vaccination and fertility control. - Ecol. Model. 150: 45-53.
94. Soulé, E. 1996: Viable population for conservation. - Cambridge University Press, Cambridge.
95. South, A. B. & Kenward, R. E. 2001: Mate finding, dispersal distances and population growth in invading species: a spatially explicit model. - Oikos 95: 53-58.
96. Stephens, P. A. & Sutherland, W. J. 1999: Consequences of the Allee effect for behaviour, ecology and conservation. - Trends Ecol. Evol. 14: 401-405.
97. Stephens, P. A., Sutherland, W. J. & Freckleton, R. P. 1999: What is the Allee effect? - Oikos 87: 185-190.
98. Swinton, J., Harwood, J., Grenfell, B. T. & Gilligan, C. A. 1998: Persistence thresholds for phocine distemper virus infection in harbour seal Phoca vitulina metapopulations. - J. Anim. Ecol. 67: 54-68.
99. Thrall, P. H., Antonovics, J. & Hall, D. W. 1993: Host and pathogen coexistence in sexually transmitted and Vector-borne diseases characterized by frequency-dependent disease transmission. - Am. Nat. 142: 543-552.
100. van Rensburg, P. J. J., Skinner, J. D. & van Aarde, R. J. 1987: Effect of feline panleucopenia on the population characteristics of feral cats on Marion Island. - J. Appl. Ecol. 24: 63-73.
101. Viggers, K. L., Lindenmayer, D. B. & Spratt, D. M. 1993: The Importance of Disease in Reintroduction Programs. - Wildl. Res. 20: 687-698.
102. Waage, J. K. & Greathead, D. J. 1988: Biological control - challenges and opportunities. - Philos. Trans. R. Soc. Lond. B 318: 111-128.
103. Wang, G., Liang, X. G. & Wang, F. Z. 1999: The competitive dynamics of populations subject to an Allee effect. - Ecol. Model. 124: 183-192.
104. Wang, M. H. & Kot, M. 2001: Speeds of invasion in a model with strong or weak Allee effects. - Math. Biosci. 171: 83-97.
105. Wang, M. H., Kot, M. & Neubert, M. G. 2002: Integrodifference equations, Allee effects, and invasions. - J. Math. Biol. 44: 150-168.
106. White, P. C. L. & Harris, S. 1995: Bovine tuberculosis in badger (Meles meles) populations in southwest England: an assessment of past, present and possible future control strategies using simulation modelling. - Philos. Trans. R. Soc. Lond. B 349: 415-432.
107. Woodroffe, R. 1999: Managing disease threats to wild mammals. - Anim. Conserv. 2: 185-193.