On the (dis) advantages of cannibalism

Journal of Mathematical Biology

Volumn 51, Issue 6, 2005, Pages 695-712

  Getto, Ph ^a,b   Diekmann, O ^a   De Roos, A M ^c  

^a UTRECHT UNIVERSITY   (Netherlands)

^b UNIVERSITY OF WARSAW   (Poland)

^c UNIVERSITY OF AMSTERDAM   (Netherlands)

Author keywords

Adaptive dynamics; Cannibalism; Chemostat dynamics; Interaction variables; Nonlinear dynamical system; Size structure; Steady states

Indexed keywords

ANIMAL; ARTICLE; BIOLOGICAL MODEL; CANNIBALISM; CATERING SERVICE; EVOLUTION; HUMAN; MATHEMATICS; POPULATION DYNAMICS;

ANIMALS; CANNIBALISM; EVOLUTION; FOOD SUPPLY; HUMANS; MATHEMATICS; MODELS, BIOLOGICAL; POPULATION DYNAMICS;

EID: 28444495941     PISSN: 03036812     EISSN: 14321416     Source Type: Journal    
DOI: 10.1007/s00285-005-0342-6     Document Type: Article

References (20)

1. Botsford, L.W.: The effects of increased individual growth rates on depressed population size. Am. Nat. 117, 38-63 (1981)
2. Claessen, D., Dwarfs, Giants: The dynamic interplay of size-dependent cannibalism and competition. Ph. D. thesis.
3. Claessen, D., de Roos, A.M.: Bistability in a size-structured population model of cannibalistic fish- a continuation study. Theor. Pop. Biol. 64 (1), 49-65 (2003)
4. Claessen, D., de Roos, A.M., Persson, L.: Population dynamic theory of size-dependent cannibalism. Proc. R. Soc. Lond. B. 271, 333-340 (2004)
5. Costantino, R.F., Desharnais, R.A., Cushing, J.M., Dennis, B.: Chaotic dynamics in an insect population. Science. 275, 389-391 (1997)
6. Cushing, J.M.: A simple model of cannibalism. Math. Biosci. 107, 47-71 (1991)
7. Dieckmann, U., Law, R.: The dynamical theory of coevolution: a derivation from stochastic ecological processes. J. Math. Biol. 34, 579-612 (1996)
8. Diekmann, O.: Modeling and analysing physiologically structured populations. In: Capasso, V., Diekmann, O., (eds.) Mathematics inspired by Biology, Springer, LN. M 1714 (1999)
9. Diekmann, O.: A beginners guide to adaptive dynamics. Banach Center Publications 63, 47-86 (2004)
10. Diekmann, O., Gyllenberg, M., Metz, J.A.J.: Steady State Analysis of Structured Population Models. Theor. Popul. Biol. 63, 309-338 (2003)
11. Geritz, S.A.H., Metz, J.A.J., Kisdi, É., Meszéna, G.: The dynamics of adaptation and evolutionary branching. Phys. Rev. Letters 78, 2024-2027 (1997)
12. Geritz, S.A.H., Kisdi, É., Meszéna, G., Metz, J.A.J.: Evolutionarily singular strategies and the adaptive growth and branching of the evolutionary tree. Evol. Ecol. 12, 35-57 (1998)
13. Getto, Ph.: Steady state analysis for a size structured cannibalism model with two dynamic resources. In: On some quasilinear structured population models, Ph. D. thesis. http://igitur-archive.library.uu.nl/dissertations/2005- 0816-200002/index.htm
14. Henson, S.M.: Cannibalism can be beneficial even when its mean yield is less than one. Theor. Popul. Biol. 51, 107-117 (1997)
15. Metz, J.A.J., Nisbet, R.M., Geritz, S.A.H.: How should we define "fitness" for general ecological scenarios? TREE 7, 198-202 (1992)
16. Metz, J.A.J., Geritz, S.A.H., Meszéna, G., Jacobs, F.J.A., van Heerwaarden, J.S.: Adaptive dynamics, a geometrical study of the consequences of nearly faithful reproduction. In: van Strien, S.J., Verduyn Lunel, S.M. (eds.) Stochastic and spatial structures of dynamical systems, North-Holland, Amsterdam, 1996, pp 183-231
17. Kooijman, S.A.L.M.: Dynamic energy and mass budgets in biological systems. Cambridge University Press, Cambridge, 2000
18. Polis, G.A.: The evolution and dynamics of intraspecific predation. Ann. Rev. Ecol. Syst. 12, 225-51 (1981)
19. Van den Bosch, F., de Roos, A.M., Gabriel., W.: Cannibalism as a life boat meachanism. J. Math. Biol. 26, 619-633 (1988)
20. Van den Bosch, Gabriel., W.: Cannibalism in age structured populations. Theor. Popul. Biol. 59, 551-573 (1997)