Abstract
This paper analyzes the persistence and extinction behavior of Lotka-Volterra reaction-diffusion equations for a patch-type environment. The system of equations is the discretized version of the familiar random-diffusion model ut=f(u)+Duxx. It is shown that diffusion can alter the persistence or extinction behavior of the Lotka-Volterra system. A competitive or predator-prey system can become extinct, whereas a mutualistic system can persist.
Original language | English |
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Pages (from-to) | 1-12 |
Number of pages | 12 |
Journal | Mathematical Biosciences |
Volume | 65 |
Issue number | 1 |
DOIs | |
State | Published - Jul 1983 |