A mathematical model for the population dynamics of army ants

Bulletin of Mathematical Biology

Volumn 58, Issue 3, 1996, Pages 471-492

  Britton, N F ^a   Partridge, L W ^b,c   Franks, N R ^a  

^a Material and Chemical Characterization Facility   (United Kingdom)

^b UNIVERSITY OF BATH   (United Kingdom)

^c SCOTTISH CROP RESEARCH INSTITUTE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ECITON BURCHELLI; FORMICIDAE;

EID: 0001513631     PISSN: 00928240     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02460593     Document Type: Article

References (25)

1. Britton, N. F., L. W. Partridge, and N. R. Franks. 1996. A model of survival times for population of army ants. Submitted to Bull. Math. Biol.
2. Caswell, H. and R. J. Etter. 1993. Ecological interactions in patchy environments: from patch-occupancy models to cellular automata. In Patch Dynamics. Lecture Notes in Biomathematics, S. A. Levin, T. M. Powell, and J. H. Steele (Eds), Vol. 96, pp. 93-109. New York: Springer.
3. Caughley, G. 1994. Directions in conservation biology. J. Anim. Ecol. 63, 215-244.
4. Czaran, T. and S. Bartha. 1992. Spatiotemporal dynamic models of plant populations and communities. Trends Ecol. Evol. 7, 38-42.
5. Durrett, R. 1992. Stochastic models of growth and competition. In Patch Dynamics. Lecture Notes in Biomathematics, S. A. Levin, T. Powell, and J. Steele (Eds), Vol. 96, pp. 176-183. New York: Springer.
6. Durrett, R. and S. A. Levin. 1994. Stochastic spatial models: A user's guide to ecological applications. Phil. Trans. Roy. Soc. London Ser. B 343, 329-350.
7. Ermentrout, G. B. and L. Edelstein-Keshet. 1993. Cellular automata approaches to biological modelling. J. Theor. Biol. 160, 97-133.
8. Fisch, R., J. Gravner, and D. Griffeath. 1991. Threshold range scaling of excitable cellular automata. Statist. Comp. 1, 23-29.
9. Franks, N. R. 1992a. Ecology and population regulation in the army ant Eciton burchelli. In The Ecology of a Tropical Forest: Seasonal Rhythms and Long-Term Changes, E. G. Leigh, A. S. Rand, and D. M. Windsor (eds.), pp. 389-395. Washington, DC: Smithsonian Institution Press.
10. Franks, N. R. 1982b. A new method for censusing animal populations: the number of Eciton burchelli army ant colonies on Barro Colorado Island, Panama. Oecologia Berlin 52, 266-268.
11. Franks, N. R. 1982c. Social insects in the aftermath of swarm raids of the army ant Eciton burchelli. In Biology of Social Insects. Proceedings of the 9th International Congress of the International Congress of the International Union for the Study of Social Insects, M. D. Breed, C. D. Michener, and H. E. Evans (Eds.), pp. 275-279. Boulder, CO: Westview Press.
12. Franks, N. R. 1985. Reproduction, foraging efficiency and worker polymorphism in army ants. In Experimental Behavioral Ecology. Fortschritte der Zoologie, M. Lindauer and B. Hölldobler (Eds.), Vol. 31, pp. 91-107. Stuttgart: G. Fischer.
13. Franks, N. R. 1989. Army ants: a collective intelligence. Am. Scientist 77, 139-145.
14. Franks, N. R., and W. H. Bossert. 1983. The influence of swarm raiding army ants on the patchiness and diversity of a tropical leaf litter ant community. In E. L. Sutton, The Tropical Rain Forest: Ecology and Management, E. L. Sutton, A. C. Chadwick, and T. C. Whitmore (eds), pp. 151-163. Oxford: Blackwell.
15. Franks, N. R. and C. R. Fletcher. 1983. Spatial patterns in army ant foraging and migration: Eciton burchelli on Barro Colorado Island, Panama. Behav. Ecol. Sociobiol. 12, 261-270.
16. Hassell, M. P., H. N. Comins, and R. M. May. 1991. Spatial structure and chaos in insect population dynamics. Nature London 353, 255-258.
17. Onsager, L. 1944. Crystal statistics. I. A two-dimensional model with order-disorder transitions. Phys. Rev. 65, 117.
18. Otis, G. W., C. E. Santana, D. L. Crawford, and M. L. Higgins. 1986. The effect of foraging army ants on leaf-litter arthropods. Biotropica 18, 56-61.
19. Partridge, L. W., 1994. Facets of the ecology, behaviour and evolution of ants. PhD thesis, University of Bath.
20. Rand, D. S. and H. B. Wilson. 1995. Using spatio-temporal chaos and intermediate-scale determinism to quantify spatially extended ecosystems. Proc. Roy. Soc. London Ser. B 259, 111-117.
21. Ray, T. S. and C. C. Andrews. 1980. Antbutterflies: butterflies that follow army ants to feed on antbird droppings. Science 210, 1147-1148.
22. Rettenmeyer, C. W. 1963. Behavioral studies of army ants. Kansas Univ. Sci. Bull. 44, 281-465.
23. Schneirla, T. C. 1971. Army ants. In A Study in Social Organization, H. R. Topoff (Ed.). San Francisco: W. H. Freeman.
24. Simberloff, D. 1988. The contribution of population and community biology to conservation science. Ann. Rev. Ecol. Systematics 19, 473-511.
25. Willis, E. O. 1967. The behavior of bicolored antbirds. Univ. Calif. Publ. Zool. 79, 1-127.