TY - JOUR
T1 - Life Stages
T2 - Interactions and Spatial Patterns
AU - Robertson, Suzanne L.
AU - Cushing, J. M.
AU - Costantino, R. F.
N1 - Funding Information:
Acknowledgements This work was done as part of S.L. Robertson’s Ph.D. thesis, Spatial patterns in stage-structured populations with density dependent dispersal, Interdisciplinary Program in Applied Mathematics, University of Arizona, 2009, and was supported in part by National Science Foundation grants DMS-0414212 and DMS-0443803.
Copyright:
Copyright 2012 Elsevier B.V., All rights reserved.
PY - 2012/2
Y1 - 2012/2
N2 - In many stage-structured species, different life stages often occupy separate spatial niches in a heterogeneous environment. Life stages of the giant flour beetle Tribolium brevicornis (Leconte), in particular adults and pupae, occupy different locations in a homogeneous habitat. This unique spatial pattern does not occur in the well-studied stored grain pests T. castaneum (Herbst) and T. confusum (Duval). We propose density dependent dispersal as a causal mechanism for this spatial pattern. We model and explore the spatial dynamics of T. brevicornis with a set of four density dependent integrodifference and difference equations. The spatial model exhibits multiple attractors: a spatially uniform attractor and a patchy attractor with pupae and adults spatially separated. The model attractors are consistent with experimental observations.
AB - In many stage-structured species, different life stages often occupy separate spatial niches in a heterogeneous environment. Life stages of the giant flour beetle Tribolium brevicornis (Leconte), in particular adults and pupae, occupy different locations in a homogeneous habitat. This unique spatial pattern does not occur in the well-studied stored grain pests T. castaneum (Herbst) and T. confusum (Duval). We propose density dependent dispersal as a causal mechanism for this spatial pattern. We model and explore the spatial dynamics of T. brevicornis with a set of four density dependent integrodifference and difference equations. The spatial model exhibits multiple attractors: a spatially uniform attractor and a patchy attractor with pupae and adults spatially separated. The model attractors are consistent with experimental observations.
KW - Density dependent dispersal
KW - Flour beetle
KW - Integrodifference equations
KW - Life stage interactions
KW - Spatial distribution
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U2 - 10.1007/s11538-011-9705-x
DO - 10.1007/s11538-011-9705-x
M3 - Article
C2 - 22135094
AN - SCOPUS:84856250043
VL - 74
SP - 491
EP - 508
JO - The Bulletin of Mathematical Biophysics
JF - The Bulletin of Mathematical Biophysics
SN - 0092-8240
IS - 2
ER -