Multiplicity of species in some replicative systems

TL;DR

This paper investigates two models of replicative systems to understand the conditions under which multi-species coexistence persists or transitions to single-species dominance, shedding light on biological coding mechanisms.

Contribution

It introduces two models with different death rate dependencies to analyze species multiplicity and state stability in replicative systems.

Findings

Multi-species state persists despite high replicative probabilities in one model.

Type-dependent death rates lead to rapid convergence to single-species states.

Fluctuations can cause transitions between single-species states.

Abstract

In an attempt to explain the uniqueness of the coding mechanism of living cells as contrasted with multi-species structure of ecosystems we examine two models of individuals with some replicative properties. In the first model the system generically remains in a multi-species state. Even though for some of these species the replicative probability is very high, they are unable to invade the system. In the second model, in which the death rate depends on the type of the species, the system relatively quickly reaches a single-species state and fluctuations might at most bring it to yet another single-species state.