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Skip to Search Results- 2Critical domain size
- 1Advection–diffusion equations
- 1Aquatic organisms
- 1Bifurcation analysis
- 1Drift paradox
- 1Group formation
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Modeling group formation and activity patterns in self-organizing collectives of individuals
Download2007-01-01
Eftimie, R., Lewis, Mark A., Lutscher, F., de Vries, G.
We construct and analyze a nonlocal continuum model for group formation with application to self-organizing collectives of animals in homogeneous environments. The model consists of a hyperbolic system of conservation laws, describing individual movement as a correlated random walk. The turning...
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2006-01-01
McCauley, E., Lewis, Mark A., Lutscher, F.
The question how aquatic populations persist in rivers when individuals are constantly lost due to downstream drift has been termed the “drift paradox.” Recent modeling approaches have revealed diffusion-mediated persistence as a solution. We study logistically growing populations with and...
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2005-01-01
Pachepsky, E., Lewis, Mark A., Lutscher, F.
Individuals in streams are constantly subject to predominantly unidirectional flow. The question of how these populations can persist in upper stream reaches is known as the “drift paradox.” We employ a general mechanistic movement-model framework and derive dispersal kernels for this situation....
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Spatially-explicit matrix models: A mathematical analysis of stage-structured integrodifference equations.
Download2004-01-01
This paper is concerned with mathematical analysis of the ‘critical domain-size’ problem for structured populations. Space is introduced explicitly into matrix models for stage-structured populations. Movement of individuals is described by means of a dispersal kernel. The mathematical analysis...