A discrete hierarchical model of intra-specific competition

S. R.J. Jang, J. M. Cushing

Research output: Contribution to journalArticle

11 Scopus citations

Abstract

A discrete hierarchical model with either age, size, or stage structure is derived. The resulting scalar equation for total population level is then used to study contest and scramble intra-specific competition. It is shown how equilibrium levels and resilience are related for the two different competition situations. In particular, scramble competition yields a higher population level while contest competition is more resilient if the uptake rate as a function of resource density is concave down. The conclusions are reversed if the uptake rate is concave up.

Original languageEnglish (US)
Pages (from-to)102-122
Number of pages21
JournalJournal of Mathematical Analysis and Applications
Volume280
Issue number1
DOIs
StatePublished - Apr 1 2003

Keywords

  • Contest and scramble competition
  • Discrete Dulac criterion
  • Equilibrium resilience
  • Hierarchical population model
  • Uniform persistence

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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