Mathematical Modeling of Extinction of Inhomogeneous Populations

TL;DR

This paper develops sub-exponential mathematical models for population extinction, revealing that the principle of minimum information loss governs their evolution and suggesting applications to time perception mechanisms.

Contribution

It introduces new sub-exponential models of population extinction and links their evolution to the principle of minimum information loss, expanding understanding in ecology and related fields.

Findings

Principle of minimum information loss underpins population extinction models

Proposed models applicable to ecology, paleontology, conservation biology

Potential application to mechanisms of time perception

Abstract

Mathematical models of population extinction have a variety of applications in such areas as ecology, paleontology and conservation biology. Here we propose and investigate two types of sub-exponential models of population extinction.The results of performed analysis show that the principle of minimum of information loss is the underlying law for the evolution of a broad class of models of population extinction. Finally, we propose a possible application of this modeling framework to mechanisms underlying time perception.