Chemotaxis-induced spatio-temporal heterogeneity in multi-species host-parasitoid systems |
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Authors: | Ian G Pearce Mark A J Chaplain Pietà G Schofield Alexander R A Anderson Stephen F Hubbard |
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Institution: | (1) Division of Mathematics, University of Dundee, Dundee, DD1 4HN, UK;(2) College of Life Sciences, University of Dundee, Dundee, DD1 4HN, UK |
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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.
I. G. Pearce gratefully acknowledges the financial support of the NERC. |
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Keywords: | Host-parasitoid systems Reaction-diffusion-chemotaxis models Chemotaxis driven instability Spatio-temporal heterogeneity |
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