Dynamics of a intraguild predation model with generalist or specialist predator

Yun Kang, Lauren Wedekin

Research output: Contribution to journalArticle

34 Citations (Scopus)

Abstract

Intraguild predation (IGP) is a combination of competition and predation which is the most basic system in food webs that contains three species where two species that are involved in a predator/prey relationship are also competing for a shared resource or prey. We formulate two intraguild predation (IGP: resource, IG prey and IG predator) models: one has generalist predator while the other one has specialist predator. Both models have Holling-Type I functional response between resource-IG prey and resource-IG predator; Holling-Type III functional response between IG prey and IG predator. We provide sufficient conditions of the persistence and extinction of all possible scenarios for these two models, which give us a complete picture on their global dynamics. In addition, we show that both IGP models can have multiple interior equilibria under certain parameters range. These analytical results indicate that IGP model with generalist predator has "top down" regulation by comparing to IGP model with specialist predator. Our analysis and numerical simulations suggest that: (1) Both IGP models can have multiple attractors with complicated dynamical patterns; (2) Only IGP model with specialist predator can have both boundary attractor and interior attractor, i.e., whether the system has the extinction of one species or the coexistence of three species depending on initial conditions; (3) IGP model with generalist predator is prone to have coexistence of three species.

Original languageEnglish (US)
Pages (from-to)1227-1259
Number of pages33
JournalJournal of Mathematical Biology
Volume67
Issue number5
DOIs
StatePublished - Nov 2013

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Predator
predation
predators
Biological Extinction
Prey
Food Chain
Attractor
Resources
Down-Regulation
Functional Response
Model
functional response models
Coexistence
Extinction
Interior
extinction
Food Web
Predator-prey
Global Dynamics
predator-prey relationships

Keywords

  • Extinction
  • Generalist predator
  • Intraguild predation
  • Multiple attractors
  • Persistence
  • Specialist predator

ASJC Scopus subject areas

  • Agricultural and Biological Sciences (miscellaneous)
  • Applied Mathematics
  • Modeling and Simulation

Cite this

Dynamics of a intraguild predation model with generalist or specialist predator. / Kang, Yun; Wedekin, Lauren.

In: Journal of Mathematical Biology, Vol. 67, No. 5, 11.2013, p. 1227-1259.

Research output: Contribution to journalArticle

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