Speed of invasion in lattice population models: pair-edge approximation |
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Authors: | Stephen P Ellner Akira Sasaki Yoshihiro Haraguchi Hirotsugu Matsuda |
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Institution: | (1) Department of Biology, Faculty of Science, Kyushu University, Fukuoka 812-81, Japan, JP |
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Abstract: | We propose a simple approach to approximating the speed of invasion in lattice population models. Approximate critical parameter
values for successful invasion are then found by solving for zero wave speed. The approximation is based on describing the
occupied region by the ordinary pair approximation, and using quasi-steady-state pair approximations to describe the leading
edge of the wave front. We illustrate this idea using the basic contact process on the 1 and 2 dimensional lattice (with and
without nearest-neighbor migration), finding very good agreement between the approximation and simulation results. The approximate
critical values obtained by our approximation are significantly more accurate than those obtained by the ordinary pair approximation.
Received 4 September 1996 |
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Keywords: | : Invasion Lattice model Pair approximation Wave speed Stochastic spatial model |
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