Biological invasions often produce dramatic ecological and economic consequences. Thus, there is keen interest in models that correctly predict rates of spread of invading organisms. Traditional reaction-diffusion models that generate traveling waves of invasion often underestimate true rates of invasion. In contrast, integrodifference equations give more reasonable estimates and resolve important paradoxes in the theory of invasions. Here, I discuss the formulation and analysis of integrodifference equations and summarize some recent results on rates of spread of invading organisms.
Description
MR: Selected Matches for: Author=(Kot) AND Title=(wave)
%0 Journal Article
%1 MR1154698
%A Kot, Mark
%D 1992
%J J. Math. Biol.
%K Fisher-KPP invasions
%N 4
%P 413--436
%T Discrete-time travelling waves: ecological examples
%U http://dx.doi.org/10.1007/BF00173295
%V 30
%X Biological invasions often produce dramatic ecological and economic consequences. Thus, there is keen interest in models that correctly predict rates of spread of invading organisms. Traditional reaction-diffusion models that generate traveling waves of invasion often underestimate true rates of invasion. In contrast, integrodifference equations give more reasonable estimates and resolve important paradoxes in the theory of invasions. Here, I discuss the formulation and analysis of integrodifference equations and summarize some recent results on rates of spread of invading organisms.
@article{MR1154698,
abstract = {Biological invasions often produce dramatic ecological and economic consequences. Thus, there is keen interest in models that correctly predict rates of spread of invading organisms. Traditional reaction-diffusion models that generate traveling waves of invasion often underestimate true rates of invasion. In contrast, integrodifference equations give more reasonable estimates and resolve important paradoxes in the theory of invasions. Here, I discuss the formulation and analysis of integrodifference equations and summarize some recent results on rates of spread of invading organisms.},
added-at = {2009-09-17T22:16:32.000+0200},
author = {Kot, Mark},
biburl = {https://www.bibsonomy.org/bibtex/29a3258e5a9bd718f24ee7f0425418f34/peter.ralph},
coden = {JMBLAJ},
description = {MR: Selected Matches for: Author=(Kot) AND Title=(wave)},
fjournal = {Journal of Mathematical Biology},
interhash = {3396eac90458e21b1adc9432cf071b13},
intrahash = {9a3258e5a9bd718f24ee7f0425418f34},
issn = {0303-6812},
journal = {J. Math. Biol.},
keywords = {Fisher-KPP invasions},
mrclass = {92D25 (39A10 45G10)},
mrnumber = {MR1154698 (93f:92022)},
mrreviewer = {Qi Xiao Ye},
number = 4,
pages = {413--436},
timestamp = {2010-02-09T21:57:00.000+0100},
title = {Discrete-time travelling waves: ecological examples},
url = {http://dx.doi.org/10.1007/BF00173295},
volume = 30,
year = 1992
}