A nutrient-prey-predator model with intratrophic predation

S. J. Jang, J. Baglama

Research output: Contribution to journalArticle

10 Scopus citations

Abstract

A simple food chain which consists of nutrient, prey and predator with intratrophic predation of the predator is proposed and analyzed. The dynamics of the model depend on the basic reproductive numbers of the prey and predator. Intratrophic predation can have impact on the system only if the basic reproductive number of the predator is greater than 1. In this case, the system may have multiple coexisting equilibria. However, intratrophic predation can stabilize the system when such an equilibrium is unique. Moreover, it can elevate the magnitude of the prey population and diminish the level of nutrient concentration of any coexisting equilibrium.

Original languageEnglish
Pages (from-to)517-536
Number of pages20
JournalApplied Mathematics and Computation
Volume129
Issue number2-3
DOIs
StatePublished - Jul 10 2002

Keywords

  • Cannibalism
  • Intratrophic predation
  • Persistence
  • Thresholds

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