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DEMOGRAPHY AND DISPERSAL: CALCULATION AND SENSITIVITY ANALYSIS OF INVASION SPEED FOR STRUCTURED POPULATIONS
A fundamental characteristic of any biological invasion is the speed at which the geographic range of the population expands. This invasion speed is determined by both population growth andExpand
ALTERNATIVES TO RESILIENCE FOR MEASURING THE RESPONSES OF ECOLOGICAL SYSTEMS TO PERTURBATIONS
Resilience is a component of ecological stability; it is assessed as the rate at which perturbations to a stable ecological system decay. The most frequently used estimate of resilience is based onExpand
Dispersal and Pattern Formation in a Discrete-Time Predator-Prey Model
We investigate the dispersal-driven instabilities that arise in a discrete-time predator-prey model formulated as a system of integrodifference equations. Integrodifference equations contain twoExpand
Marine reserves and optimal harvesting
Advocates of no-take marine reserves emphasize their conservation benefits. Critics counter that reserves would decrease fisheries yield. Analysis of a spatially explicit harvesting model, however,Expand
Integrodifference equations, Allee effects, and invasions
Abstract Models that describe the spread of invading organisms often assume no Allee effect. In contrast, abundant observational data provide evidence for Allee effects. We study an invasion modelExpand
Invasion theory and biological control
Recent advances in the mathematical theory of invasion dynamics have much to offer to biological control. Here we synthesize several results concerning the spatiotemporal dynamics that occur when aExpand
Projecting rates of spread for invasive species.
  • M. Neubert, I. Parker
  • Biology, Medicine
  • Risk analysis : an official publication of the…
  • 1 August 2004
All else being equal, the faster an invading species spreads, the more dangerous its invasion. The projection of spread rate therefore ought to be a central part of the determination of invasionExpand
Invasion speeds in fluctuating environments
Biological invasions are increasingly frequent and have dramatic ecological and economic consequences. A key to coping with invasive species is our ability to predict their rates of spread.Expand
Habitat destruction, fragmentation, and disturbance promote invasion by habitat generalists in a multispecies metapopulation.
Species invasions are extremely common and are vastly outpacing the ability of resource agencies to address each invasion, one species at a time. Management actions that target the whole landscape orExpand
Reactivity and transient dynamics of discrete-time ecological systems
Most studies of ecological models focus exclusively on the asymptotic stability properties of equilibria. However, short-term transient effects can be important, and can in some cases dominate theExpand
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