« Previous AbstractMathematical modelling of host-parasitoid systems: effects of chemically mediated parasitoid foraging strategies on within- and between-generation spatio-temporal dynamics    Next AbstractAllochronic separation versus mate choice: nonrandom patterns of mating between fall armyworm host strains »

J Math Biol

Title:		Dynamic heterogeneous spatio-temporal pattern formation in host-parasitoid systems with synchronised generations
Author(s):		Schofield PG; Chaplain MA; Hubbard SF;
Address:		"The SIMBIOS Centre, Division of Mathematicst:, The University of Dundee, Dundee, DD1 4HN, UK. p.schofield@dundee.ac.uk"
Journal Title:		J Math Biol
Year:		2005
Volume:		20041111
Issue:		5
Page Number:		559 - 583
DOI:		10.1007/s00285-004-0298-y
ISSN/ISBN:		0303-6812 (Print) 0303-6812 (Linking)
Abstract:		"In this paper we develop a general mathematical model describing the spatio-temporal dynamics of host-parasitoid systems with forced generational synchronisation, for example seasonally induced diapause. The model itself may be described as an individual-based stochastic model with the individual movement rules derived from an underlying continuum PDE model. This approach permits direct comparison between the discrete model and the continuum model. The model includes both within-generation and between-generation mechanisms for population regulation and focuses on the interactions between immobile juvenile hosts, adult hosts and adult parasitoids in a two-dimensional domain. These interactions are mediated, as they are in many such host-parasitoid systems, by the presence of a volatile semio-chemical (kairomone) emitted by the hosts or the hosts' food plant. The model investigates the effects on population dynamics for different host versus parasitoid movement strategies as well as the transient dynamics leading to steady states. Despite some agreement between the individual and continuum models for certain motility parameter ranges, the model dynamics diverge when host and parasitoid motilities are unequal. The individual-based model maintains spatially heterogeneous oscillatory dynamics when the continuum model predicts a homogeneous steady state. We discuss the implications of these results for mechanistic models of phenotype evolution"
Keywords:		"Animals Computer Simulation Host-Parasite Interactions Hymenoptera/growth & development Lepidoptera/parasitology *Models, Biological Parasites/*growth & development Pheromones/pharmacology Stochastic Processes;"
Notes:		"MedlineSchofield, Peter G Chaplain, Mark A J Hubbard, Stephen F eng Wellcome Trust/United Kingdom Research Support, Non-U.S. Gov't Germany 2004/11/19 J Math Biol. 2005 May; 50(5):559-83. doi: 10.1007/s00285-004-0298-y. Epub 2004 Nov 11"