A simple model of cannibalism

Research output: Contribution to journalArticle

64 Citations (Scopus)

Abstract

A simple nonlinear discrete model is derived for the dynamics of a two-age class population consisting of juveniles and adults that includes cannibalism of juveniles by adults. The model is investigated analytically and numerically. It is shown how even this very simple model, by incorporating the negative and positive feedbacks due to cannibalism, can account for several important phenomena concerning the dynamics of cannibalistic populations that have been discussed and studied in the literature. These include the possibilities that the practice of cannibalism can (1) in certain circumstances be a form of self-regulation that promotes stable equilibration, while in other circumstances it can lead to population oscillations; (2) result in a viable population in circumstances when its absence would otherwise result in extinction; and (3) be the source of multiple stable equilibria and hysteresis effects.

Original languageEnglish (US)
Pages (from-to)47-71
Number of pages25
JournalMathematical Biosciences
Volume107
Issue number1
DOIs
StatePublished - 1991

Fingerprint

Cannibalism
cannibalism
Population
Feedback
Nonlinear Dynamics
hysteresis
Population Dynamics
nonlinear models
age class
Positive Feedback
age structure
Negative Feedback
Hysteresis
oscillation
extinction
population dynamics
Discrete Model
Model
Extinction
Nonlinear Model

ASJC Scopus subject areas

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

Cite this

A simple model of cannibalism. / Cushing, Jim M.

In: Mathematical Biosciences, Vol. 107, No. 1, 1991, p. 47-71.

Research output: Contribution to journalArticle

Cushing, Jim M. / A simple model of cannibalism. In: Mathematical Biosciences. 1991 ; Vol. 107, No. 1. pp. 47-71.
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