Chemotaxis-induced spatio-temporal heterogeneity in multi-species host-parasitoid systems

Ian G. Pearce, Mark A. J. Chaplain, Peter G. Schofield, Alexander R. A. Anderson, Stephen F. Hubbard

Research output: Contribution to journalArticlepeer-review

26 Citations (Scopus)

Abstract

When searching for hosts, parasitoids are observed to aggregate in response to chemical signalling cues emitted by plants during host feeding. In this paper we model aggregative parasitoid behaviour in a multi-species host-parasitoid community using a system of reaction-diffusion-chemotaxis equations. The stability properties of the steady-states of the model system are studied using linear stability analysis which highlights the possibility of interesting dynamical behaviour when the chemotactic response is above a certain threshold. We observe quasi-chaotic dynamic heterogeneous spatio-temporal patterns, quasi-stationary heterogeneous patterns and a destabilisation of the steady-states of the system. The generation of heterogeneous spatio-temporal patterns and destabilisation of the steady state are due to parasitoid chemotactic response to hosts. The dynamical behaviour of our system has both mathematical and ecological implications and the concepts of chemotaxis-driven instability and coexistence and ecological change are discussed.
Original languageEnglish
Pages (from-to)365-388
Number of pages24
JournalJournal of Mathematical Biology
Volume55
Issue number3
DOIs
Publication statusPublished - 2007

Keywords

  • Host-parasitoid systems
  • Reaction-diffusion
  • Chemotaxis driven instability
  • Spatio-temporal heterogeneity

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