Dispersal effects on a discrete two-patch model for plant-insect interactions

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

A two-patch discrete time plant-insect model coupled through insect dispersal is studied. The model is based on three different phases: Plant growth is followed by the dispersal of insects followed by insect attacks. Our objective is to understand how different intensities of dispersal impact both local and global population dynamics of the two-patch model. Special attention is paid to two situations: When the single-patch model (i.e., in the absence of dispersal) is permanent and when the single-patch model exhibits Allee-like effects. The existence and stability of synchronous and asynchronous dynamics between two patches is explored. If the single-patch system is permanent, the permanence of the system in two patches is destroyed by extremely large dispersals and large attacking rates of insects, thus creating multiple attractors. If the single-patch model exhibits Allee-like effects, analytical and numerical results indicate that small intensity of dispersals can generate source-sink dynamics between two patches, while intermediate intensity of dispersals promote the extinction of insects in both patches for certain parameter ranges. Our study suggests a possible biology control strategy to stop the invasion of a pest by controlling its migration between patches.

Original languageEnglish (US)
Pages (from-to)84-97
Number of pages14
JournalJournal of Theoretical Biology
Volume268
Issue number1
DOIs
StatePublished - Jan 7 2011

Fingerprint

plant-insect relations
Patch
Insects
insects
Interaction
insect models
Model
Population dynamics
Population Dynamics
extinction
population dynamics
plant growth
pests
Biological Sciences
Global Dynamics
Coupled Model
Permanence
Invasion
Growth
Extinction

Keywords

  • Allee-like effects
  • Extinction
  • Multiple attractors
  • Permanence
  • Source-sink dynamics

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

Dispersal effects on a discrete two-patch model for plant-insect interactions. / Kang, Yun; Armbruster, Hans.

In: Journal of Theoretical Biology, Vol. 268, No. 1, 07.01.2011, p. 84-97.

Research output: Contribution to journalArticle

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