Population outbreaks in a discrete world

Theoretical Population Biology

Volumn 57, Issue 2, 2000, Pages 97-108

  McCann, Kevin ^a   Hastings, Alan ^b   Harrison, Susan ^b   Wilson, Will ^c  

^a MCGILL UNIVERSITY   (Canada)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c DUKE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

HOST-PARASITOID INTERACTION; POPULATION MODELING; POPULATION OUTBREAK;

ANIMALIA; LEPIDOPTERA;

EID: 0034001141     PISSN: 00405809     EISSN: None     Source Type: Journal    
DOI: 10.1006/tpbi.1999.1444     Document Type: Article

References (31)

1. Brodmann P. A., Wilcox C. V, Harrison S. Mobile parasitoids may restrict the spatial spread of an insect outbreak. Journal of Animal Ecology. 65:1996;65-72.
2. Conway E. D. Diffusion and predator-prey interaction: Pattern in closed systems. Fitzgibbon W. E. Research Notes in Mathematics. 1984;85-133 Pitman, Boston.
3. de Roos A., McCauley E., Wilson W. G. Pattern formation and the spatial scale of interaction between predators and their prey. Theor. Popul. Biol. 53:1998;108-130.
4. Fife P. C. Pattern formulation in reacting and diffusing systems. J. Chem. Phys. 64:1976a;554-564.
5. Fife P. C. Boundary and interior transition layer phenomena for pairs of second order differential equations. J. Math. Anal. Appl. 54:1976b;497-521.
6. Harrison S. Resources and dispersal as factors limiting a population of the tussock moth (Orgyia vetusta), a flightless defoliator. Oecologia. 99:1994;29-37.
7. Harrison S. Lack of strong induced or maternal effects in tussock moths (Orgyia vetusta) on bush lupine (Lupinus arboreus). Oecologia. 103:1995;343-348.
8. Harrison S. Persistent localized outbreaks in the western tussock moth (Orgyia vetusta): the roles of resource quality, predation and poor dispersal. Ecol. Entomol. 22:1997;158-166.
9. Harrison S., Maron J. Impacts of defoliation by tussock moths (Orgyia vetusta) on bush lupine (Lupinus arboreus). Ecol. Entomol. 20:1995;223-229.
10. Harrison S., Wilcox C. Evidence that predator satiation may restrict the spatial spread of a tussock moth (Orgyia vetusta) outbreak. Oecologia. 101:1995;309-316.
11. Hassell M. P. The dynamics of Arthropod Predator-Prey Systems. 1978;Princeton Univ. Press, Princeton.
12. Hastings A. Population Biology: Concepts and Models. 1997;Springer-Verlag, New York.
13. Hastings A., Harrison S., McCann K. Unexpected spatial patterns in insect outbreaks match a singular perturbation model. Proc. R. Soc. London Ser. B. 264:1997;1837-1840.
14. Holmes E. E., Lewis M. A., Banks J. E., Veit R. R. Partial differential equations in ecology: Spatial interactions and population dynamics. Ecology. 75:1994;17-29.
15. Ikeda H., Mimura M. Stability analysis of stationary solutions of bistable reaction-variable diffusion systems. SIAM J. Math. Anal. 22:1991;1651-1678.
16. Kareiva P. Renewing the dialogue between theory and experiments in population ecology. Roughgarden J., May R., Levin S. Perspectives in Ecological Theory. 1989;68-88 Princeton Univ. Press, Princeton.
17. Kareiva P. M. Population dynamics in spatially complex environments: Theory and data. Phil. Trans. R. Soc. London Series B. 330:1990;175-190.
18. Kot M. Diffusion-driven period-doubling bifurcations. Biosystems. 22:1989;279-287.
19. Kot M. Discrete-time travelling waves: ecological examples. J. Math. Biol. 54:1992;619-648.
20. Kot M., Schaffer W. Discrete-time growth-dispersal models. Bioscience. 80:1986;109-136.
21. Kot M., Lewis M. A., Vandendriessche P. Dispersal data and the spread of invading organisms. Ecology. 77:1996;2027-2042.
22. Maron J., Harrison S. Spatial pattern formation in an insect host-parasitoid system. Science. 278:1997;1619-1621.
23. Mimura M. On a diffusive prey-predator model which exhibits patchiness. J. Theor. Biol. 75:1978;249-262.
24. Mimura M., Nishiura Y., Yamaguti M. Some diffusive prey and predator systems and their bifurcation problems. Ann. N. Y. Acad. Sci. 360:1979;490-510.
25. Neubert M. G., Kot M., Lewis M. A. Dispersal and pattern formation in a discrete-time predator-prey model. Theor. Popul. Biol. 48:1995;7-43.
26. Rohani P., May R. M., Hassel M. P. Metapopulations and equilibrium stability: The effects of spatial structure. J. Theor. Biol. 181:1989;97-109.
27. Rohani P., Ruxton G. D. Dispersal-induced instabilities in host-parasitoid metapopulations. Theor. Popul. Biol. 55:1999;23-36.
28. Turchin P. Population consequences of aggregative movement. J. Animal Ecol. 58:1987;75-100.
29. Turchin P., Kareiva P. Aggregation in his varians: An effective strategy for reducing predation risks. Ecology. 70:1989;1008-1016.
30. Turing A. M. The chemical basis of morphogenesis. Philos. Trans. R. Soc. London Ser. B. 237:1952;37-72.
31. Wilson W. G., Harrison S. P., Hastings A., McCann K. Exploring stable pattern formation in models of tussock moth populations. J. Anim. Ecol. 68:1999;94-107.