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- 2Diffusion
- 1Chronic wasting disease
- 1Coexistence
- 1Diffusive instabilities
- 1Dispersal
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2021-07-06
Jingjing Xu, Evelyn H. Merrill, Mark A. Lewis
Chronic wasting disease (CWD) is a fatal disease of cervid species that continues to spread across North America and now in Europe. It poses a threat to cervid populations and the local ecological and economic communities that depend on them. Although empirical studies have shown that host home...
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2014-01-01
Alex Potapov, Ulrike E. Schlagel, Mark A. Lewis
We use an evolutionary approach to find “most appropriate” dispersal models for ecological applications. From a random walk with locally or nonlocally defined transition probabilities we derive a family of diffusion equations. We assume a monotonic dependence of its diffusion coefficient on...
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1994
Veit, R. R., Banks, J. E., Holmes, E. E., Lewis, M. A.
Most of the fundamental elements of ecology, ranging from individual behavior to species abundance, diversity, and population dynamics, exhibit spatial variation. Partial differential equation models provide a means of melding organism movement with population processes and have been used...