Integrodifference equations, Allee effects, and invasions
Copyright policy )Integrodifference equations, Allee effects, and invasions
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 model based on an integrodifference equation with an Allee effect. We derive a general result for the sign of the speed of invasion. We then examine a special, linear-constant, Allee function and introduce a numerical scheme that allows us to estimate the speed of traveling wave solutions.
- Woods Hole Oceanographic Institution United States
- University of Tennessee at Knoxville United States
- University of Mary United States
- University of Washington United States
Population Density, Ecology, integro-difference equations, Allee effects, Population Dynamics, Numerical Analysis, Computer-Assisted, Numerical methods for integral equations, Models, Biological, invasion models, Problems related to evolution, Animals, Qualitative behavior of solutions to integral equations, travelling waves
Population Density, Ecology, integro-difference equations, Allee effects, Population Dynamics, Numerical Analysis, Computer-Assisted, Numerical methods for integral equations, Models, Biological, invasion models, Problems related to evolution, Animals, Qualitative behavior of solutions to integral equations, travelling waves
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