Infected coexistence instability with and without density-dependent regulation

Journal of Theoretical Biology

Volumn 185, Issue 3, 1997, Pages 345-356

  Greenman, J V ^a   Hudson, P J ^a  

^a UNIVERSITY OF STIRLING   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; HOST PARASITE INTERACTION; MATHEMATICAL MODEL; POPULATION DENSITY; POPULATION DYNAMICS; POPULATION MODEL; PRIORITY JOURNAL;

EID: 0031557668     PISSN: 00225193     EISSN: None     Source Type: Journal    
DOI: 10.1006/jtbi.1996.0309     Document Type: Article

References (9)

1. ANDERSON, R. M. & MAY, R. M. (1981). The population dynamics of microparasites and their invertebrate hosts. Philos. Trans. R. Soc. Lond. B, Biol. Sci., 291, 451-524.
2. ANDERSON, R. M. & MAY, R. M. (1991). Infectious Diseases of Humans. Oxford: Oxford University Press.
3. BEGON, M. & BOWERS, R. G. (1992). Disease and community structure: the importance of host self-regulation in a host-pathogen model, Am. Naturalist. 139, 1131-1150.
4. BEGON, M. & BOWERS, R. G. (1995). Beyond host-pathogen dynamics. In: Ecology of Inectious Diseases in Natural Populations (Grenfell, B. T. & Dobson, A. P., eds) pp. 478-509. Cambridge: Cambridge University Press.
5. BRIGGS, C. J., HAILS, R. S., BARLOW, N. D. & GODFRAY, H. C. J. (1995). The dynamics of insect-pathogen interactions. In: Ecology of Infectious Disease in Natural Populations (Grenfell, B. T. & Dobson, A. P., eds) pp. 295-326 Cambridge: Cambridge University Press.
6. GANTMACHER, F. R. (1960). The Theory of Matrices, vol II. New York: Chelsea Publishing.
7. HOLT, R. D. & PICKERING, J. (1985). Infectious disease and species coexistence: a model of Lotka-Volterra form. Am. Naturalist. 126, 196-211.
8. LINDSTROM, J. (1995). Synchrony in tetraonid population dynamics. J. Anim. Ecol. 64, 767-776.
9. LORENZ, E. N. (1963). Deterministic periodic flow. J. Atmos. Sci. 20, 130-141.