A size-structured model for cannibalism

Research output: Contribution to journalArticle

55 Citations (Scopus)

Abstract

A size-structured model for the dynamics of a cannibalistic population is derived under the assumption that cannibals (successfully) attack only smaller bodied victims, as is generally the case in the biological world. In addition to the resulting size-dependent death rate, the model incorporates the positive feedback mechanism resulting from the added resource energy obtained by the cannibal from the consumption of the victim. From the nonlinear partial integro-differential equation model, it is shown how to obtain a complete analysis of the global dynamics of the total population biomass. This analysis yields many dynamical features that have been attributed to cannibalism in the literature, including density self-regulation, a "life-boat strategy" phenomenon by which a population avoids extinction by practicing cannibalism under circumstances when it would otherwise go extinct, and multiple stable positive equilibrium states and hysteresis.

Original languageEnglish (US)
Pages (from-to)347-361
Number of pages15
JournalTheoretical Population Biology
Volume42
Issue number3
DOIs
StatePublished - 1992

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Cannibalism
cannibalism
energy resources
Ships
hysteresis
Population Dynamics
boats
dynamic models
Biomass
Population
extinction
population dynamics
feedback mechanism
energy resource
Mortality
biomass
analysis

ASJC Scopus subject areas

  • Agricultural and Biological Sciences(all)
  • Ecology, Evolution, Behavior and Systematics

Cite this

A size-structured model for cannibalism. / Cushing, Jim M.

In: Theoretical Population Biology, Vol. 42, No. 3, 1992, p. 347-361.

Research output: Contribution to journalArticle

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