Random dispersal in a predator-prey-parasite system

Sophia R.J. Jang, James Baglama, Li Wu

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We propose predator-prey-parasite models to study the effects of parasites upon the predator-prey interaction. There are two parameters that are used to model the effectiveness of the infected prey and infected predator. For the spatial homogeneous system, the asymptotic dynamics depend on the reproductive number of the parasite. The parasite can persist in the population if this reproductive number is larger than one. Numerical simulations suggest that less competitiveness of the infected predator can make the predator-prey interaction less stable. The dynamics may move from coexisting steady state to oscillations. For the spatial heterogeneous system, diffusion may destabilize the homogeneous interior steady state for a particular set of diffusion coefficients. However, both systems do not exhibit complicated dynamical behavior.

Original languageEnglish
Pages (from-to)825-845
Number of pages21
JournalJournal of Biological Systems
Volume18
Issue number4
DOIs
StatePublished - Dec 2010

Keywords

  • Center Manifold Theory
  • Diffusion
  • Reproductive Number
  • Uniform Persistence

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