Scramble competitions can rescue endangered species subject to strong Allee effects

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

In this article, we study population dynamics of a general two-species discrete-time competition model where each species suffers from both strong Allee effects and scramble intra-specific competitions. We focus on how the combinations of the scramble intra-specific and inter-specific competition affect the extinction and coexistence of these two competing species where each species is subject to strong Allee effects. We derive sufficient conditions on the extinction, essential-like extinction and coexistence for such models. One of the most interesting findings is that scramble competitions can promote coexistence of these two species at their high densities. This is supported by the outcome of single species models with strong Allee effects. In addition, we apply theoretical results to a symmetric competition model with strong Allee effects induced by predator saturations where we give a completed study of its possible equilibria and attractors. Numerical simulations are performed to support our results.

Original languageEnglish (US)
Pages (from-to)75-87
Number of pages13
JournalMathematical Biosciences
Volume241
Issue number1
DOIs
StatePublished - Jan 2013

Fingerprint

Allee Effect
Endangered Species
Population Dynamics
endangered species
extinction
Coexistence
Extinction
Competition Model
intraspecific competition
Competing Species
interspecific competition
Population dynamics
Discrete-time Model
Predator
population dynamics
Saturation
Attractor
predators
Numerical Simulation
Sufficient Conditions

Keywords

  • Coexistence
  • Competition
  • Essential extinction
  • Essential-like extinction
  • Strong Allee effects

ASJC Scopus subject areas

  • Medicine(all)
  • Immunology and Microbiology(all)
  • Biochemistry, Genetics and Molecular Biology(all)
  • Agricultural and Biological Sciences(all)
  • Modeling and Simulation
  • Statistics and Probability
  • Applied Mathematics

Cite this

Scramble competitions can rescue endangered species subject to strong Allee effects. / Kang, Yun.

In: Mathematical Biosciences, Vol. 241, No. 1, 01.2013, p. 75-87.

Research output: Contribution to journalArticle

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