Competition in a Fitness Landscape
Franco Bagnoli, Michele Bezzi
TL;DR
This paper extends Eigen's quasi-species model to include competition among individuals, enabling analytical determination of the threshold for new species formation in a smooth fitness landscape.
Contribution
It introduces a competitive extension to Eigen's model and derives an analytical threshold for species formation, validated by numerical simulations.
Findings
Analytical threshold for species formation derived.
Model matches numerical simulation results.
Highlights competition's role in speciation in smooth landscapes.
Abstract
We present an extension of Eigen's model for quasi-species including the competition among individuals, proposed as the simplest mechanism for the formation of new species in a smooth fitness landscape. We are able to obtain analytically the critical threshold for species formation. The comparison with numerical simulations is very good.
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Taxonomy
TopicsEvolutionary Game Theory and Cooperation · Evolution and Genetic Dynamics · Opinion Dynamics and Social Influence