Chaos and Graphics: A cellular model for spatial population dynamics

  • Authors:
  • Chu Yue (Stella) Dong;James T. Long;Clifford A. Reiter;Corey Staten;Rytis Umbrasas

  • Affiliations:
  • 2080 1st Ave. Apt. 1809, New York, NY 10029, USA;809 Montbard Drive, West Chester, PA 19382, USA;Department of Mathematics, Lafayette College, Easton, PA 18042-1781, USA;528 Hilltonia Ave, Columbus, OH 43223, USA;Lafayette College, P.O. Box 9486, Easton, PA 18042, USA

  • Venue:
  • Computers and Graphics
  • Year:
  • 2010

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Abstract

Interacting populations exhibit complex behavior in nature. Classic quadratic iteration models with two or three populations exhibit some of the features seen in nature, but fail to account for spatial variation. Indeed, the diversity paradox is that many classic population models predict one species dominates while nature exhibits diversity. While various schemes have been presented to address this dilemma, we present a simple, deterministic cellular model that incorporates classic iteration schemes and a spatial migration component that provides for self-organizing and rich behavior. Our visualization method allows us to observe dynamically changing predominance of species, global diversity, waves of species progression, and highly organized spiral structures.