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Research Publications (Mathematical and Statistical Sciences)
Items in this Collection
- 2spreading speed
- 1critical domain size
- 1difference equation
- 1invasion
- 1minimal domain size
- 1persistence
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2017-01-01
QIHUA HUANG, HAO WANG, MARK A. LEWIS
While some species spread upstream in river environments, not all invasive species are successful in spreading upriver. Here the dynamics of unidirectional water flow found in rivers can play a role in determining invasion success. We develop a continuous-discrete hybrid benthic-drift population...
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Spreading Speed, Traveling Waves, and Minimal Domain Size in Impulsive Reaction-di®usion Models
Download2012-01-01
How growth, mortality, and dispersal in a species affect the species' spread and persistence constitutes a central problem in spatial ecology. We propose impulsive reaction-diffusion equation models for species with distinct repro- ductive and dispersal stages. These models can describe a...