Uni-directional Interaction and Plant-Pollinator-Robber Coexistence

Yuanshi Wang, Donald L. DeAngelis, J. Nathaniel Holland

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

A mathematical model for the plant-pollinator-robber interaction is studied to understand the factors leading to the widespread occurrence and stability of such interactions. In the interaction, a flowering plant provides resource for its pollinator and the pollinator has both positive and negative effects on the plant. A nectar robber acts as a plant predator, consuming a common resource with the pollinator, but with a different functional response. Using dynamical systems theory, mechanisms of species coexistence are investigated to show how a robber could invade the plant-pollinator system and persist stably with the pollinator. In addition, circumstances are demonstrated in which the pollinator's positive and negative effects on the plant could determine the robber's invasibility and the three-species coexistence.

Original languageEnglish
Pages (from-to)2142-2164
Number of pages23
JournalBulletin of Mathematical Biology
Volume74
Issue number9
DOIs
StatePublished - Jul 18 2012

Fingerprint

Plant Nectar
System theory
pollinator
Coexistence
pollinators
coexistence
Dynamical systems
Mathematical models
Interaction
Resources
Flowering
Functional Response
Predator
Systems Theory
Dynamical system
plant-pollinator interaction
Mathematical Model
invasibility
functional response
nectar

Keywords

  • Extinction
  • Invasion
  • Stability
  • Unidirectional consumer-resource interaction
  • Uniform persistence

ASJC Scopus subject areas

  • Neuroscience(all)
  • Computational Theory and Mathematics
  • Mathematics(all)
  • Pharmacology
  • Immunology
  • Biochemistry, Genetics and Molecular Biology(all)
  • Agricultural and Biological Sciences(all)
  • Environmental Science(all)

Cite this

Uni-directional Interaction and Plant-Pollinator-Robber Coexistence. / Wang, Yuanshi; DeAngelis, Donald L.; Holland, J. Nathaniel.

In: Bulletin of Mathematical Biology, Vol. 74, No. 9, 18.07.2012, p. 2142-2164.

Research output: Contribution to journalArticle

Wang, Yuanshi ; DeAngelis, Donald L. ; Holland, J. Nathaniel. / Uni-directional Interaction and Plant-Pollinator-Robber Coexistence. In: Bulletin of Mathematical Biology. 2012 ; Vol. 74, No. 9. pp. 2142-2164.
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