Cannibalism in discrete-time predator-prey systems

Yunshyong Chow, Sophia R.J. Jang

Research output: Contribution to journalArticle

9 Scopus citations

Abstract

In this study, we propose and investigate a two-stage population model with cannibalism. It is shown that cannibalism can destabilize and lower the magnitude of the interior steady state. However, it is proved that cannibalism has no effect on the persistence of the population. Based on this model, we study two systems of predator-prey interactions where the prey population is cannibalistic. A sufficient condition based on the nontrivial boundary steady state for which both populations can coexist is derived. It is found via numerical simulations that introduction of the predator population may either stabilize or destabilize the prey dynamics, depending on cannibalism coefficients and other vital parameters.

Original languageEnglish
Pages (from-to)38-62
Number of pages25
JournalJournal of Biological Dynamics
Volume6
Issue number1
DOIs
StatePublished - Jan 2012

Keywords

  • cannibalism
  • inherent net reproductive number
  • stage structure
  • uniform persistence

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