The fitness of the strongest individual in the subcritical GMS model

TL;DR

This paper derives the distribution of the strongest individual's fitness in a species survival model, revealing its dependence on hypergeometric functions and highlighting special cases like p=1/2.

Contribution

It provides a novel analytical derivation of the strongest individual's fitness distribution in a GMS model variation, connecting it to hypergeometric functions.

Findings

Distribution relies on Gauss hypergeometric function

Special case at p=1/2 involves Hypergeometric function type I

Analytical expression enhances understanding of species survival dynamics

Abstract

We derive the strongest individual fitness distribution on a variation for a species survival model proposed by Guiol, Machado and Schinazi \cite{GMS11}. We point out to the fact that this distribution relies on the Gauss hypergeometric function and when $p=\frac{1}{2}$ on the Hypergeometric function type I distribution