Stationary pattern of vortices or strings in biological systems: Lattice version of the Lotka-Volterra model

Kei-ichi Tainaka
Phys. Rev. Lett. 63, 2688 – Published 11 December 1989
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Abstract

By stochastic simulation, we investigate the spatial pattern in the biological system composed of three competing species. Topological defects are introduced to explain the pattern formation in this system. The spatial dimension d determines the nature of defects such as kinks, vortices, and strings. When d=2,3, the system approaches the stationary state, where the peculiar defect configuration is found.

  • Received 1 August 1989

DOI:https://doi.org/10.1103/PhysRevLett.63.2688

©1989 American Physical Society

Authors & Affiliations

Kei-ichi Tainaka

  • Department of Physics, Ibaraki University, Mito 310, Japan

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Issue

Vol. 63, Iss. 24 — 11 December 1989

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