Competing Associations

author: György Szabó, Head of Complex Systems group, Nanotechnology Department - Complex Systems, Research Institute for Technical Physics and Materials Science, Computer and Automation research institute, Hungarian Academy of Science
published: Nov. 28, 2007,   recorded: October 2007,   views: 2563

Related Open Educational Resources

Related content

Report a problem or upload files

If you have found a problem with this lecture or would like to send us extra material, articles, exercises, etc., please use our ticket system to describe your request and upload the data.
Enter your e-mail into the 'Cc' field, and we will keep you updated with your request's status.
Lecture popularity: You need to login to cast your vote.


We study a six-species Lotka-Volterra type system on different two-dimensional lattices when each species has two superior and two inferior partners. The invasion rates from predator sites to a randomly chosen neighboring prey's site depend on the predator-prey pair, whereby cyclic symmetries within the two three-species defensive alliances are conserved. Monte Carlo simulations reveal an unexpected non-monotonous dependence of alliance survival on the difference of alliance-specific invasion rates. The invasion probabilities are supplemented by Gaussian noise and conditions are identified that warrant the largest impact of noise on the evolutionary process. Our findings are conceptually related to the coherence resonance phenomenon in dynamical systems via the mechanism of threshold duality that is not limited to predator-prey cyclical interactions, but may apply to models of evolutionary game theory as well, thus indicating its applicability in several different fields of research.

Link this page

Would you like to put a link to this lecture on your homepage?
Go ahead! Copy the HTML snippet !

Write your own review or comment:

make sure you have javascript enabled or clear this field: