Cannibalism in an age-structured predator-prey system

Bulletin of Mathematical Biology

Volumn 59, Issue 3, 1997, Pages 551-567

  Van Den Bosch, Frank ^a   Gabriel, Wilfried ^b  

^a WAGENINGEN UNIVERSITY   (Netherlands)

^b UNIVERSITY OF MUNICH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

AGE; ARTICLE; CANNIBALISM; MATHEMATICAL MODEL; NONHUMAN; POPULATION GROWTH; PREDATION; PREDATOR;

EID: 0030900420     PISSN: 00928240     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02459465     Document Type: Article

References (19)

1. Cushing, J. M. 1991. A simple model of cannibalism. Math. Biosci. 107, 47-71.
2. Cushing, J. M. 1992. A size-structured model for cannibalism. Theor. Pop. Biol. 42, 347-361.
3. Desharnais, R. A. and L. Liu. 1987. Stable demographic limit cycles in laboratory populations of Tribolium Castaneum. J. Anim. Ecol. 56, 885-906.
4. Diekmann, O., R. M. Nisbet, W. S. C. Gurney and F. van den Bosch. 1986. Simple mathematical models for cannibalism: a critique and a new approach. Math. Biosci. 78, 21-46.
5. Edelstein-Keshet, L. 1988. Mathematical Models in Biology. New York: Random House.
6. Elgar, M. A. and B. J. Crespi (Eds). 1992. Cannibalism: Ecology and Evolution among Diverse Taxa. Oxford: Oxford University Press.
7. Fox, L. R. 1975. Cannibalism in natural populations. Ann. Rev. Ecol. Syst. 6, 87-106.
8. Gabriel, W. 1985. Overcoming food limitations by cannibalism: a model study on cyclopoids. Arch. Hydrobiol. Beiheft 21, 373-381.
9. Gabriel, W. and F. van den Bosch. 1991. Consequences of intraspecific predation: A physiologically structured model approach. In Analyse Dynamischer Systeme in Medizin, Biologie un Ecology, D. P. F. Möller and O. Richter (Eds), Informatik Fachberichte Vol. 275, pp. 177-184. Berlin: Springer.
10. Gurney, W. S. C., S. P. Blight and R. M. Nisbet. 1983. The systematic formulation of tractable single-species population models incorporating age structure. J. Anim. Ecol. 52, 479-495.
11. Gurney, W. S. C. and R. M. Nisbet. 1985. Fluctuation periodicity, generation separation and the expression of larval competition. Theor. Pop. Biol. 28, 150-180.
12. Hastings, A. 1983. Age dependent predation is not a simple process. I. Continuous time models. Theor. Pop. Biol. 23, 347-362.
13. Hastings, A. 1987. Cycles in cannibalistic egg-larval interactions. J. Math Biol. 24, 651-666.
14. Kohlmeier, C. and W. Ebenhöh. 1995. The stabilizing role of cannibalism in a predator-prey system. Bull. Math. Biol. 57, 401-411.
15. Maas, P., W. S. C. Gurney and R. M. Nisbet. 1984. SOLVER - an adaptable program template for initial value problem solving. Glasgow: University of Strathclyde, Applied Physics Industrial Consultants.
16. Polis, G. A. 1981. The evolution and dynamics of intraspecific predation. Ann. Rev. Ecol. Syst. 12, 225-251.
17. van den Bosch, F., A. M. de Roos and W. Gabriel. 1988. Cannibalism as a lifeboat mechanism. J. Math. Biol. 26, 619-633.
18. van den Bosch, F. and W. Gabriel. 1991. The impact of cannibalism on the population dynamics of cyclopoid copepods. Verh. Internat. Verein. Limnol. 24, 2848-2850.
19. van den Bosch, F. and B. Santer. 1993. Cannibalism in Cyclops abyssorum. OIKOS 67, 19-28.