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Saddle-Point Approximations, Integrodifference Equations, and Invasions

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Bulletin of Mathematical Biology, 70 (6): 1790--1826 (августа 2008)

Аннотация

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.

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