%0 Journal Article %1 kot2008saddlepoint %A Kot, Mark %A Neubert, Michael %D 2008 %J Bulletin of Mathematical Biology %K disease_outbreak dispersal integro-difference invasions leptokurtic_dispersal long_distance_dispersal travelling_wave %N 6 %P 1790--1826 %T Saddle-Point Approximations, Integrodifference Equations, and Invasions %U http://dx.doi.org/10.1007/s11538-008-9325-2 %V 70 %X Abstract  Invasion, the growth in numbers and spatial spread of a population over time, is a fundamental process in ecology. Governments and businesses expend vast sums to prevent and control invasions of pests and pestilences and to promote invasions of endangeredspecies and biological control agents. Many mathematical models of biological invasions use nonlinear integrodifference equationsto describe the growth and dispersal processes and to predict the speed of invasion fronts. Linear models have received lessattention, perhaps because they are difficult to simulate for large times.

@article{kot2008saddlepoint, abstract = {Abstract  Invasion, the growth in numbers and spatial spread of a population over time, is a fundamental process in ecology. Governments and businesses expend vast sums to prevent and control invasions of pests and pestilences and to promote invasions of endangeredspecies and biological control agents. Many mathematical models of biological invasions use nonlinear integrodifference equationsto describe the growth and dispersal processes and to predict the speed of invasion fronts. Linear models have received lessattention, perhaps because they are difficult to simulate for large times.}, added-at = {2010-01-18T19:56:56.000+0100}, author = {Kot, Mark and Neubert, Michael}, biburl = {https://www.bibsonomy.org/bibtex/2a5269b41906a329bb80a1a5040b2ce81/peter.ralph}, description = {SpringerLink - Journal Article}, interhash = {2af65db192260f2b67c065eeb5a81f06}, intrahash = {a5269b41906a329bb80a1a5040b2ce81}, journal = {Bulletin of Mathematical Biology}, keywords = {disease_outbreak dispersal integro-difference invasions leptokurtic_dispersal long_distance_dispersal travelling_wave}, month = {August}, number = 6, pages = {1790--1826}, timestamp = {2013-09-12T22:23:01.000+0200}, title = {Saddle-Point Approximations, Integrodifference Equations, and Invasions}, url = {http://dx.doi.org/10.1007/s11538-008-9325-2}, volume = 70, year = 2008 }