Search
Skip to Search Results- 2Diffusion
- 2Reaction-diffusion
- 1Coexistence
- 1Cooperative model
- 1Differential equations
- 1Diffusive instabilities
-
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...
-
2002-01-01
Lewis, Mark A., Weinberger, H.F., Li, B.T.
The discrete-time recursion system \un+1=Q[\un] with \un(x) a vector of population distributions of species and Q an operator which models the growth, interaction, and migration of the species is considered. Previously known results are extended so that one can treat the local invasion of an...
-
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...