A non-local rare mutations model for quasispecies and Prisoner's dilemma: numerical assessment of qualitative behaviour

TL;DR

This paper introduces a numerical model for evolutionary dynamics that incorporates rare mutations and density-dependent fitness, providing new insights into how mutations influence cooperation and quasispecies stability.

Contribution

It presents a novel numerical approach to an integro-differential model, enhancing understanding of mutation effects in evolutionary dynamics and cooperation.

Findings

Numerical simulations reveal mutation's role in maintaining cooperation.

The model accommodates density-dependent fitness effects.

Insights into quasispecies stability under rare mutations.

Abstract

An integro-differential model for evolutionary dynamics with mutations is investigated by improving the understanding of its behavior using numerical simulations. The proposed numerical approach can handle also density dependent fitness, and gives new insights about the role of mutation in the preservation of cooperation.