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Skip to Search Results- 3Differential equations
- 2Diffusion
- 1Arabolic equations
- 1Chronic wasting disease
- 1Coexistence
- 1Diffusive instabilities
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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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1997
Kouritzin, Michael, Dawson, Donald
A general Hilbert-space-based stochastic averaging theory is brought forth herein for arbitrary-order parabolic equations with (possibly long range dependent) random coefficients. We use regularity conditions onView the MathML sourcewhich are slightly stronger than those required to prove...
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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...
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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...