Persistence and extinction in Lotka-Volterra reaction-diffusion equations

Linda J.S. Allen

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


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 languageEnglish
Pages (from-to)1-12
Number of pages12
JournalMathematical Biosciences
Issue number1
StatePublished - Jul 1983


Dive into the research topics of 'Persistence and extinction in Lotka-Volterra reaction-diffusion equations'. Together they form a unique fingerprint.

Cite this