Cannibalism can be beneficial even when its mean yield is less than one

Theoretical Population Biology

Volumn 51, Issue 2, 1997, Pages 109-117

  Henson, Shandelle M ^a  

^a University of Arizona   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANIMALIA;

EID: 0031127286     PISSN: 00405809     EISSN: None     Source Type: Journal    
DOI: 10.1006/tpbi.1997.1303     Document Type: Article

References (18)

1. Cushing J. M. Equilibria in structured populations. J. Math. Biol. 23:1985;15-39.
2. Cushing J. M. A simple model of cannibalism. Math. Biosci. 107:1991;47-71.
3. Cushing J. M. A size-structured model for cannibalism. Theor. Pop. Biol. 42:1992;347-361.
4. Cushing J. M., Li J. Oscillations caused by cannibalism in a size-structured population model. Can. J. Appl. Math. 3:1995.
5. Diekmann O., Nisbet R. M., Gurney W. S. C., van den Bosch F. Simple mathematical models for cannibalism: a critique and a new approach. Math. Biosci. 78:1986;21-46.
6. Elgar M. A., Crespi B. J. Cannibalism: Ecology and Evolution Among Diverse Taxa. 1992;Oxford Univ. Press, Oxford.
7. Elgar M. A., Crespi B. J. Ecology and evolution of cannibalism. Cannibalism: Ecology and Evolution Among Diverse Taxa. 1992;Oxford Univ. Press, Oxford.
8. Fox L. R. Cannibalism in natural populations. Ann. Rev. Ecol. Syst. 6:1975;87-106.
9. Gabriel W. Can cannibalism be advantageous in cyclopoids? A mathematical model. Verh. Internat. Verein. Limnol. 22:1985;3164-3168.
10. Gabriel W. Overcoming food limitations by cannibalism: A model study on cyclopoids. Arch. Hydrobiol. Beih. 21:1985;373-381.
11. Gabriel W. Simulation komplexer Populationsdynamik. Moller D. P. F. Simulationstechnik. 1985.
12. Guckenheimer J., Holmes P. Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields. 1983;Springer-Verlag, New York.
13. Gurtin M. E., Levine D. S. On populations that cannibalize their young. SIAM J. Appl. Math. 42:1982;94-108.
14. Henson S. M. Existence and stability of nontrivial periodic solutions of periodically forced discrete dynamical systems. J. Differ. Equations Appl. 2:1996;315-331.
15. Hofbauer J., So J. W.-H. Uniform persistence and repellors for maps. Proc. Amer. Math. Soc. 107:1989;1137-1142.
16. Landhahl H. D., Hansen B. D. A three stage population model with cannibalism. Bull. Math. Biol. 37:1975;11-17.
17. Polis G. A. The evolution and dynamics of intraspecific predation. Ann. Rev. Ecol. Syst. 12:1981;225-251.
18. van den Bosch F., de Roos A. M., Gabriel W. Cannibalism as a lifeboat mechanism. J. Math. Biol. 26:1988;619-633.