Dynamics of northwards-biased random walkers in a small garden and a large desert

Segismundo S. Izquierdo & Luis R. Izquierdo


To use Garden-Desert, you will have to install NetLogo 5.3.1 (free and open source) and download the model itself. Unzip the downloaded file and click on Garden-Desert.nlogo



The model shows two independent areas: a small (8x8) green garden on the left, and a large (200x200) yellow desert on the right. For each area, an iteration of the model implies (a) the creation of one agent in the middle of the area, and (b) that each agent within the area advances one step: upwards (with probability 0.4), leftwards (with probability 0.2), rightwards (with probability 0.2) or downwards (with probability 0.2). Agents that reach the border of their corresponding area cannot return. The button "Clear" initialises the model.


Garden-Desert is a model designed to illustrate the mean-field approximation of stochastic models
Copyright (C) 2010 Segismundo S. Izquierdo & Luis R. Izquierdo

This program is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version.

This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.

You can download a copy of the GNU General Public License by clicking here; you can also get a printed copy writing to the Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.

Contact information:
Luis R. Izquierdo
University of Burgos, Spain.
e-mail: lrizquierdo@ubu.es