Nonlinear Dynamics, Psychology, and Life Sciences, Vol. 15, Iss. 4, October, 2011, pp. 455-464
@2011 Society for Chaos Theory in Psychology & Life Sciences

 
 
 

Spatial Effects and Turing Instabilities in the Invasive Species Model

William Basener, Rochester Institute of Technology, Rochester, NY
Bernard Brooks, Rochester Institute of Technology, Rochester, NY
Michael Radin, Rochester Institute of Technology, Rochester, NY
Tamas Wiandt, Rochester Institute of Technology, Rochester, NY

Abstract: This paper demonstrates that a recently proposed dynamical model for the ecology of Easter Island admits periodic and chaotic attractors, not previously reported. Such behavior may more realistically depict the population dynamics of general ecosystems and illustrates the power of simple models to produce the kind of complex behavior that is ubiquitous in such systems.

Keywords: diffusion, Turing instability, Easter Island